From e26763a9e4be59690a764debbf2d5b8f2b361946 Mon Sep 17 00:00:00 2001 From: Yves Chemisky Date: Thu, 30 Apr 2026 14:48:01 +0200 Subject: [PATCH 1/4] Axisymmetric (2Daxi) support and fixes MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Add and consolidate axisymmetric (2Daxi) handling across the codebase: - Introduce ModelingSpace.is_axisymmetric property and central _axi_utils.axi_volume_weight to compute the 2*pi*r integration weight. - Proper 2Daxi kinematics: capture reference radius at gauss points (assembly.sv["_R0_gausspoints"]) and compute hoop deformation correctly (F_θθ = r_current / R_reference) in _comp_grad_disp; refresh current r per iteration for weights and symbolic operators. - Replace ad-hoc checks of space._dimension == '2Daxi' with space.is_axisymmetric and apply the axi weight consistently in Inertia, ArtificialDamping, InterfaceForce, DistributedLoad, ImplicitDynamic paths and other weakforms. - Add explicit NotImplementedError for several features not supported in 2Daxi (IPCContact, PeriodicBC, RigidTie / RigidTie2D, ImplicitDynamic2, RotaryInertia, various TL / fbar / bbar / mixed / hourglass branches) with explanatory messages. - Improve docs and conventions: expand Mechanical3D docstring describing Voigt slot ordering and axisymmetric mapping; clarify constitutive-law/UMAT notes in elastic_anisotropic, elastic_orthotropic, composite_ud and simcoon_umat about the hoop slot mapping. - Post-processing: add _revolve_axi_field and refactor axi_to_3d/AxiMultiFrameDataSet to revolve 2D fields into 3D correctly (handling vectors and 6-Voigt fields and strain vs stress differences). - Add example thick_cylinder_inflation_axi.py demonstrating verification of F_θθ = r/R and showing how to extract per-GP F; add tests (tests/test_axi_phase3.py and others) to guard against regressions in 2*pi*r weighting and hoop handling. These changes centralize axisymmetric behaviour, fix a longstanding hoop-component bug in finite-strain UL, and make unsupported 2Daxi/3D feature interactions explicit. --- .../thick_cylinder_inflation_axi.py | 123 +++++++++ fedoo/constitutivelaw/composite_ud.py | 8 + fedoo/constitutivelaw/elastic_anisotropic.py | 8 + fedoo/constitutivelaw/elastic_orthotropic.py | 7 + fedoo/constitutivelaw/simcoon_umat.py | 21 ++ fedoo/constraint/contact.py | 2 +- fedoo/constraint/ipc_contact.py | 7 + fedoo/constraint/periodic_bc.py | 6 + fedoo/constraint/rigid_tie.py | 11 + fedoo/core/mechanical3d.py | 89 ++++++- fedoo/core/modelingspace.py | 15 ++ fedoo/post_processing/axi_to_3d.py | 142 ++++++++-- fedoo/weakform/_axi_utils.py | 41 +++ fedoo/weakform/damping_stabilization.py | 13 +- fedoo/weakform/distributed_load.py | 4 +- fedoo/weakform/heat_equation.py | 2 +- fedoo/weakform/implicit_dynamic.py | 16 +- fedoo/weakform/inertia.py | 14 +- fedoo/weakform/interface_force.py | 6 + fedoo/weakform/stress_equilibrium.py | 72 +++-- fedoo/weakform/stress_equilibrium_bbar.py | 37 ++- fedoo/weakform/stress_equilibrium_mixed.py | 10 +- results/thermal3D/thermal3D.vtk | Bin 0 -> 2513758 bytes results/thermal3D/thermal3D_0.npz | Bin 0 -> 119434 bytes results/thermal3D/thermal3D_1.npz | Bin 0 -> 119434 bytes results/thermal3D/thermal3D_2.npz | Bin 0 -> 119434 bytes tests/test_axi_phase3.py | 78 ++++++ tests/test_axi_simcoon_structural.py | 247 ++++++++++++++++++ tests/test_axi_to_3d_rotation.py | 207 +++++++++++++++ 29 files changed, 1111 insertions(+), 75 deletions(-) create mode 100644 examples/03-advanced/thick_cylinder_inflation_axi.py create mode 100644 fedoo/weakform/_axi_utils.py create mode 100644 results/thermal3D/thermal3D.vtk create mode 100644 results/thermal3D/thermal3D_0.npz create mode 100644 results/thermal3D/thermal3D_1.npz create mode 100644 results/thermal3D/thermal3D_2.npz create mode 100644 tests/test_axi_phase3.py create mode 100644 tests/test_axi_simcoon_structural.py create mode 100644 tests/test_axi_to_3d_rotation.py diff --git a/examples/03-advanced/thick_cylinder_inflation_axi.py b/examples/03-advanced/thick_cylinder_inflation_axi.py new file mode 100644 index 00000000..91a96d9e --- /dev/null +++ b/examples/03-advanced/thick_cylinder_inflation_axi.py @@ -0,0 +1,123 @@ +""" +Thick cylinder inflation: F_theta-theta verification (2Daxi) +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +Pinning benchmark for the canonical hoop deformation gradient +:math:`F_{\\theta\\theta} = r_{\\text{current}} / R_{\\text{reference}}` +in a finite-strain updated-lagrangian axisymmetric problem. + +A thick-walled annulus is inflated by prescribing a radial Dirichlet +displacement on the outer boundary (the inner boundary is clamped +radially). The simulation runs in ``2Daxi`` with ``nlgeom='UL'``, then +the example reads the deformation gradient stored on the assembly's +state vector and asserts that the hoop component matches the textbook +relation :math:`F_{\\theta\\theta} = r/R` (Bonet & Wood, Box 8.3; +Holzapfel Sec. 2.5). + +The assertion is what protects against regressions in +``_comp_grad_disp``: an earlier fedoo implementation divided ``u_r`` +by ``r_current`` instead of the reference radius ``R``, giving the +small-strain limit ``1 + u_r/r`` rather than the correct ``r/R``. At +the inflation level used here (10-30% hoop stretch) the two formulas +disagree by several percent, so this example fails loudly if the bug +returns. + +This example also demonstrates how to extract the per-Gauss-point +deformation gradient from ``assembly.sv``. +""" + +import fedoo as fd +import numpy as np + +# --------------------------------------------------------------------------- +# 1. Mesh: a thick annulus in the (r, z) plane. +# --------------------------------------------------------------------------- +# r in [A, B], z in [0, H]. The symmetry axis is Y in 2D (i.e. r = X column). +A, B = 1.0, 2.0 +H = 0.5 + +fd.ModelingSpace("2Daxi") +mesh = fd.mesh.rectangle_mesh(nx=21, ny=11, x_min=A, x_max=B, y_min=0.0, y_max=H) + +# --------------------------------------------------------------------------- +# 2. Linear elastic isotropic constitutive law. +# --------------------------------------------------------------------------- +# Linear elasticity is sufficient: the F_theta-theta = r/R relation is a pure +# kinematic identity, independent of the constitutive law. We only need the +# solver to converge to the prescribed boundary motion. +E = 1.0e3 +nu = 0.3 +material = fd.constitutivelaw.ElasticIsotrop(E, nu) + +wf = fd.weakform.StressEquilibrium(material) +assembly = fd.Assembly.create(wf, mesh) + +# --------------------------------------------------------------------------- +# 3. Updated-Lagrangian non-linear problem. +# --------------------------------------------------------------------------- +pb = fd.problem.NonLinear(assembly, nlgeom="UL") +pb.set_nr_criterion("Displacement", tol=1e-6, max_subiter=15) + +# Inner radius: clamped radially. Top and bottom: clamped axially to keep +# the problem axisymmetric and 2D (no plane-strain ambiguity). +left = mesh.node_sets["left"] # r = A +right = mesh.node_sets["right"] # r = B +bottom = mesh.node_sets["bottom"] +top = mesh.node_sets["top"] + +# Inner radius radially fixed -> drives a non-uniform F_theta-theta(R). +pb.bc.add("Dirichlet", left, "DispX", 0.0) +# Symmetry / axial confinement to keep things 2D. +pb.bc.add("Dirichlet", bottom, "DispY", 0.0) +pb.bc.add("Dirichlet", top, "DispY", 0.0) +# Outer radius pulled outward by delta -> a rich F_theta-theta field. +delta = 0.6 # 30% radial expansion at r = B +pb.bc.add("Dirichlet", right, "DispX", delta) + +pb.nlsolve(dt=0.1, tmax=1.0, update_dt=True, print_info=0) + +# --------------------------------------------------------------------------- +# 4. Verify F_theta-theta = r_current / R_reference at every gauss point. +# --------------------------------------------------------------------------- +# F is stored as (3, 3, n_gauss_points), Fortran-ordered. +F = assembly.sv["F"] +F_tt = F[2, 2, :] + +# R0 is the reference radius captured at problem initialize. +R0 = assembly.sv["_R0_gausspoints"] + +# Current r at gauss points: same interpolation, but on the deformed mesh. +r_current = assembly.current.mesh.convert_data( + assembly.current.mesh.nodes[:, 0], + "Node", + "GaussPoint", + n_elm_gp=assembly.n_elm_gp, +) + +F_tt_expected = r_current / R0 + +err_max = np.max(np.abs(F_tt - F_tt_expected)) +print(f"Inflation: delta = {delta}, max |F_tt - r/R| = {err_max:.3e}") +print(f"Hoop stretch range: [{F_tt.min():.4f}, {F_tt.max():.4f}]") +print(f"Reference radius range: [{R0.min():.4f}, {R0.max():.4f}]") + +# Tight tolerance: F_theta-theta is computed *exactly* from u_r and R0 by +# `_comp_grad_disp`; any discrepancy beyond fp noise indicates a regression. +assert err_max < 1e-10, ( + f"F_theta-theta drifted from r/R by {err_max:.3e}; " + "this is a regression in fedoo/weakform/stress_equilibrium._comp_grad_disp." +) + +# --------------------------------------------------------------------------- +# 5. Negative control: the *buggy* formula 1 + u_r / r_current would give a +# different (incorrect) F_theta-theta. Show how badly it would have +# differed at the stretches reached here. +# --------------------------------------------------------------------------- +u_r_gp = r_current - R0 +F_tt_buggy = 1.0 + u_r_gp / r_current # the pre-fix formula +disagreement = np.max(np.abs(F_tt_buggy - F_tt_expected)) +print( + "Disagreement between the (correct) r/R and the (buggy) 1 + u_r/r " + f"formulas at this stretch: {disagreement:.3e} " + f"({100 * disagreement / F_tt_expected.max():.2f}% of peak hoop stretch)." +) diff --git a/fedoo/constitutivelaw/composite_ud.py b/fedoo/constitutivelaw/composite_ud.py index 6283ece8..6146b58e 100644 --- a/fedoo/constitutivelaw/composite_ud.py +++ b/fedoo/constitutivelaw/composite_ud.py @@ -34,6 +34,14 @@ class CompositeUD(ElasticAnisotropic): Z direction (if defined, the local material coordinates are used). name: str, optional The name of the constitutive law + + Notes + ----- + In ``2Daxi``, slot 2 is the hoop direction (not Cartesian z). The + fibers default to the X (= radial) direction; rotating with ``angle`` + around the implicit "Z" axis effectively rotates between r and the + hoop direction. See :class:`fedoo.core.mechanical3d.Mechanical3D` for + the slot-ordering convention. """ def __init__( diff --git a/fedoo/constitutivelaw/elastic_anisotropic.py b/fedoo/constitutivelaw/elastic_anisotropic.py index 1c8a4406..496afdfb 100644 --- a/fedoo/constitutivelaw/elastic_anisotropic.py +++ b/fedoo/constitutivelaw/elastic_anisotropic.py @@ -21,6 +21,14 @@ class ElasticAnisotropic(Mechanical3D): If H is a list of gauss point values, the shape shoud be H.shape = (6,6,NumberOfGaussPoints) name : str, optional The name of the constitutive law + + Notes + ----- + H is interpreted in the slot ordering documented on + :class:`fedoo.core.mechanical3d.Mechanical3D`. In ``2Daxi``, slot 2 is + the **hoop** direction (not Cartesian z): rows/columns labelled "3" of + H apply to the hoop response. Define the rigidity matrix accordingly, + or use a local frame. """ def __init__(self, H, name=""): diff --git a/fedoo/constitutivelaw/elastic_orthotropic.py b/fedoo/constitutivelaw/elastic_orthotropic.py index cf7642f2..644d205e 100644 --- a/fedoo/constitutivelaw/elastic_orthotropic.py +++ b/fedoo/constitutivelaw/elastic_orthotropic.py @@ -27,6 +27,13 @@ class ElasticOrthotropic(ElasticAnisotropic): Shear modulus nuYZ, nuXZ, nuXY: scalars or arrays of gauss point values Poisson's ratio + + Notes + ----- + Material directions X / Y / Z map to fedoo's slot ordering. In ``2Daxi``, + slot 2 carries the hoop response, so **EZ, GYZ, GXZ, nuYZ, nuXZ refer + to the hoop direction**, not Cartesian z. See + :class:`fedoo.core.mechanical3d.Mechanical3D` for details. """ def __init__(self, Ex, Ey, Ez, Gyz, Gxz, Gxy, nuyz, nuxz, nuxy, name=""): diff --git a/fedoo/constitutivelaw/simcoon_umat.py b/fedoo/constitutivelaw/simcoon_umat.py index a1fbf626..445e687d 100644 --- a/fedoo/constitutivelaw/simcoon_umat.py +++ b/fedoo/constitutivelaw/simcoon_umat.py @@ -21,6 +21,27 @@ class Simcoon(Mechanical3D): The constitive laws properties name : str The name of the constitutive law + + Notes + ----- + UMAT compatibility with the ``2Daxi`` ModelingSpace: + + * **Isotropic UMATs** (e.g. ``ELI``, ``NEOH``, ``MOON``, ``EPICP`` J2 + plasticity): supported. Hooke's response and J2 invariants are + invariant under the slot remapping fedoo applies in 2Daxi + (cf. :class:`fedoo.core.mechanical3d.Mechanical3D`). + + * **Orthotropic / anisotropic UMATs** (e.g. ``ELIO``, composite + Mori-Tanaka, anisotropic damage / plasticity): user-supplied + material direction "3" is silently the **hoop** direction in + 2Daxi (because slot 2 of the 6-vector carries ε_θθ). Define the + stiffness / hardening parameters with this convention or the + response will not match the intended material orientation. + + * Hyperelastic laws are gated on plane stress (see + ``_Lt_from_F`` branch); they remain compatible with 2Daxi at + finite strain provided the F[θθ] = r/R fix is in effect (see + :func:`fedoo.weakform.stress_equilibrium._comp_grad_disp`). """ def __init__(self, umat_name, props, name=""): diff --git a/fedoo/constraint/contact.py b/fedoo/constraint/contact.py index d17c9f1f..430c6ed8 100644 --- a/fedoo/constraint/contact.py +++ b/fedoo/constraint/contact.py @@ -297,7 +297,7 @@ def contact_search(self, contact_list={}, update_contact=True): contact_elements = [] contact_g = [] - is_axi = self.space._dimension == "2Daxi" + is_axi = self.space.is_axisymmetric if is_axi: contact_r = [] # radial coordinate for 2πr weighting diff --git a/fedoo/constraint/ipc_contact.py b/fedoo/constraint/ipc_contact.py index 762ef186..4d4bbc39 100644 --- a/fedoo/constraint/ipc_contact.py +++ b/fedoo/constraint/ipc_contact.py @@ -184,6 +184,13 @@ def __init__( if space is None: space = ModelingSpace.get_active() + if space.is_axisymmetric: + raise NotImplementedError( + "IPCContact does not support the '2Daxi' ModelingSpace: " + "the IPC barrier formulation lacks the 2*pi*r circumferential " + "weighting required for axisymmetric problems. " + "Use fedoo.constraint.Contact (penalty) instead." + ) AssemblyBase.__init__(self, name, space) self.mesh = mesh diff --git a/fedoo/constraint/periodic_bc.py b/fedoo/constraint/periodic_bc.py index ab03b26e..a0355102 100644 --- a/fedoo/constraint/periodic_bc.py +++ b/fedoo/constraint/periodic_bc.py @@ -1283,6 +1283,12 @@ def _add_additional_rot_dof(self, problem, res, get_boundary): ) def initialize(self, problem, dic_closest_points_on_boundaries=None): + if problem.space.is_axisymmetric: + raise NotImplementedError( + "PeriodicBC does not support the '2Daxi' ModelingSpace: " + "translational periodicity in the (r, z) plane is not " + "well-defined for an axisymmetric body of revolution." + ) # Use stored dictionary if none provided explicitly if dic_closest_points_on_boundaries is None: dic_closest_points_on_boundaries = self._dic_closest_points_on_boundaries diff --git a/fedoo/constraint/rigid_tie.py b/fedoo/constraint/rigid_tie.py index 8cccacb8..8975ef20 100644 --- a/fedoo/constraint/rigid_tie.py +++ b/fedoo/constraint/rigid_tie.py @@ -98,6 +98,12 @@ def __repr__(self): return "\n".join(list_str) def initialize(self, problem): + if problem.space.is_axisymmetric: + raise NotImplementedError( + "RigidTie does not support the '2Daxi' ModelingSpace: " + "a 3D rigid body has rotational degrees of freedom that " + "are not expressible in a 2D axisymmetric space." + ) if self.center is None: # initialize the rotation center at center of rigid nodes bounding box nodes_crd = problem.mesh.nodes[self.list_nodes] @@ -340,6 +346,11 @@ def __repr__(self): return "\n".join(list_str) def initialize(self, problem): + if problem.space.is_axisymmetric: + raise NotImplementedError( + "RigidTie2D does not support the '2Daxi' ModelingSpace: " + "rigid-body rotations break axisymmetry." + ) if self.center is None: # initialize the rotation center at center of rigid nodes bounding box nodes_crd = problem.mesh.nodes[self.list_nodes] diff --git a/fedoo/core/mechanical3d.py b/fedoo/core/mechanical3d.py index 871958d8..3e612be8 100644 --- a/fedoo/core/mechanical3d.py +++ b/fedoo/core/mechanical3d.py @@ -7,7 +7,94 @@ class Mechanical3D(ConstitutiveLaw): - """Base class for mechanical constitutive laws.""" + """Base class for mechanical constitutive laws. + + Strain / stress 6-vector slot ordering + -------------------------------------- + Strains and stresses are stored as 6-vectors (Voigt-like) at every Gauss + point. The slot interpretation depends on the active ``ModelingSpace``: + + ========= =================== =================== =================== + slot 3D 2D plane / plane-σ 2Daxi + ========= =================== =================== =================== + 0 ε_xx ε_xx ε_rr + 1 ε_yy ε_yy ε_zz (z = Y axis) + 2 ε_zz 0 (unused) ε_θθ (= u_r / R) + 3 γ_xy γ_xy γ_rz + 4 γ_xz 0 0 (γ_rθ = 0 by sym.) + 5 γ_yz 0 0 (γ_θz = 0 by sym.) + ========= =================== =================== =================== + + Rationale for the 2Daxi mapping + ------------------------------- + In axisymmetric kinematics, γ_rθ = γ_θz = 0 by symmetry, so γ_rz is the + only nonzero shear — exactly as γ_xy is the only nonzero shear in 2D + plane strain / plane stress. Placing γ_rz in slot 3 keeps slot 3 = "the + in-plane shear" across all 2D regimes, so element B-matrices, the + assembly pipeline, and most constitutive-law code are dimension-agnostic + in their handling of slot 3. The 3D-Voigt slot 2 (normally ε_zz in + Cartesian) is repurposed to carry ε_θθ; the physical ε_zz of 2Daxi + lives in slot 1 because z is along the Y axis (z ≡ Y, r ≡ X). + + Convention + ---------- + For a 2Daxi mesh, ``mesh.nodes[:, 0]`` is the radial coordinate r and + ``mesh.nodes[:, 1]`` is the axial coordinate z. The symmetry axis is the + Y axis in 2D; after ``axisymmetric_extrusion`` the symmetry axis becomes + Z in the resulting 3D mesh. + + Implication for orthotropic / anisotropic constitutive laws + ----------------------------------------------------------- + The 6×6 tangent matrix produced by a constitutive law is consumed by + fedoo with the slot mapping above. For a law whose material directions + are labelled (1, 2, 3): in 2Daxi, axis 1 is r, axis 2 is z, **axis 3 is + the hoop direction**. Authors of orthotropic / anisotropic laws should + declare moduli with this convention in mind; otherwise the user-supplied + "direction 3" stiffness will be silently applied to the hoop response. + + Theory of axisymmetric kinematics + --------------------------------- + Label the reference configuration in cylindrical coordinates + ``(R, Θ, Z)`` and the current configuration ``(r, θ, z)``. An + axisymmetric motion *without twist* satisfies:: + + r = r(R, Z), z = z(R, Z), θ = Θ. + + In the orthonormal cylindrical bases ``(e_R, e_Θ, e_Z)`` and + ``(e_r, e_θ, e_z)`` the deformation gradient takes the block form + + .. math:: + + F = \\frac{\\partial r}{\\partial R}\\, e_r \\!\\otimes\\! e_R + + \\frac{\\partial r}{\\partial Z}\\, e_r \\!\\otimes\\! e_Z + + \\frac{\\partial z}{\\partial R}\\, e_z \\!\\otimes\\! e_R + + \\frac{\\partial z}{\\partial Z}\\, e_z \\!\\otimes\\! e_Z + + \\frac{r}{R}\\, e_θ \\!\\otimes\\! e_Θ. + + Two consequences are load-bearing for the implementation: + + * **Block structure.** All hoop-coupling components vanish: + ``F_rΘ = F_zΘ = F_θR = F_θZ = 0``. Therefore γ_rθ = γ_θz = 0 in + every kinematic measure, which is why slot 3 (γ_rz) is the only + shear component in 2Daxi (slots 4 and 5 are identically zero). + + * **Hoop deformation gradient.** The hoop stretch is + ``λ_θ = F_θΘ = r/R = 1 + u_r/R`` (where ``u_r = r − R`` is the + *total* radial displacement and ``R`` is the *reference* radial + coordinate). At small strain ``r ≈ R`` and this reduces to the + conventional ``ε_θθ = u_r/r``, which is what fedoo's + ``_comp_linear_strain`` and the small-strain weakforms compute via + the symbolic operator ``space.variable("DispX") * (1/r_gp)``. At + finite strain the two definitions differ; fedoo's UL + 2Daxi + pipeline therefore divides ``u_r`` by the *reference* radius + ``R = mesh.nodes[:, 0]`` (captured at problem ``initialize`` as + ``assembly.sv["_R0_gausspoints"]``), not by ``r_current``. + + See Bonet & Wood, *Nonlinear Continuum Mechanics for Finite Element + Analysis* (2008), Box 8.3; Holzapfel, *Nonlinear Solid Mechanics* + (2000), §2.5; Belytschko, Liu & Moran, *Nonlinear Finite Elements + for Continua and Structures* (2014), §4.5. + """ # model of constitutive law for InternalForce Weakform diff --git a/fedoo/core/modelingspace.py b/fedoo/core/modelingspace.py index 9f040375..01332e06 100644 --- a/fedoo/core/modelingspace.py +++ b/fedoo/core/modelingspace.py @@ -84,6 +84,11 @@ def get_dimension(self): """ return self._dimension + @property + def is_axisymmetric(self): + """True if this ModelingSpace uses the 2Daxi axisymmetric assumption.""" + return self._dimension == "2Daxi" + def make_active(self): """Define the modeling space as the active ModelingSpace.""" ModelingSpace._active = self @@ -287,6 +292,16 @@ def op_div_u(self): return self.derivative("DispX", "X") + self.derivative("DispY", "Y") def op_strain(self, InitialGradDisp=None): + """Symbolic strain operator as a list of six DiffOps. + + The returned 6-vector follows the slot ordering documented on + :class:`fedoo.core.mechanical3d.Mechanical3D`. In 2D regimes + slot 2 is set to 0 here; for ``2Daxi`` problems the hoop term + ``eps[2] = u_r / r`` is patched in by each mechanical weakform's + ``get_weak_equation`` (see e.g. ``StressEquilibrium``) using + ``assembly.sv["_R_gausspoints"]``. In 2D plane strain / plane + stress slot 2 stays 0. + """ # InitialGradDisp = StrainOperator.__InitialGradDisp if (InitialGradDisp is None) or ( diff --git a/fedoo/post_processing/axi_to_3d.py b/fedoo/post_processing/axi_to_3d.py index e612a345..9dd6a844 100644 --- a/fedoo/post_processing/axi_to_3d.py +++ b/fedoo/post_processing/axi_to_3d.py @@ -5,6 +5,108 @@ from zipfile import Path +def _revolve_axi_field(field, theta, n_nodes_2d, kind=None, field_name=None): + """Revolve a 2D axisymmetric field around theta to a 3D field. + + The 2D (r, z) plane is interpreted using fedoo's 2Daxi conventions: + r = column 0, z = column 1, hoop component in Voigt slot 2 of any + 6-vector. The output 3D Cartesian frame uses (X, Y, Z) with the + symmetry axis along Z, matching ``axisymmetric_extrusion``. + + Parameters + ---------- + field : ndarray, shape (n_components, n_nodes_2d) or (n_nodes_2d,) + Field on the 2D mesh. + theta : ndarray, shape (n_theta,) + Angular sample positions. + n_nodes_2d : int + Number of nodes in the 2D mesh. + kind : {"stress", "strain"}, optional + For 6-tensor fields, declares whether the off-diagonal Voigt slot + stores a tensor component (``"stress"`` -> ``sigma_ij``) or an + engineering shear (``"strain"`` -> ``gamma_ij = 2 * eps_ij``). A + strain field needs an extra factor of 2 in the rotated slot 3 + (``gamma_xy``) because the hoop / radial diagonals are *not* + engineering quantities. ``None`` falls back to the + ``field_name`` heuristic below. + field_name : str, optional + Used only when ``kind`` is None: any name containing ``"Strain"`` + is treated as ``kind="strain"``, otherwise ``kind="stress"``. + + Returns + ------- + ndarray, shape (n_components_out, n_nodes_2d * n_theta) + Revolved field. ``n_components_out`` is 3 for a 2-vector input, + 6 for a 6-tensor input, and equal to ``n_components`` otherwise + (scalars and unrecognised shapes are tiled along theta). + """ + field = np.asarray(field) + n_theta = theta.shape[0] + cos_t = np.cos(theta) + sin_t = np.sin(theta) + + # Promote a 1-D scalar field to 2-D for uniform handling. + if field.ndim == 1: + field = field.reshape(1, -1) + + n_comp = field.shape[0] + + # Convention: the extruded 3D mesh has nodes laid out node-major, + # i.e. the 2D node index varies slowest and theta varies fastest. + # All per-node arrays we build below have shape (n_nodes_2d, n_theta) + # so that ``.ravel()`` produces [n0t0, n0t1, ..., n1t0, n1t1, ...]. + cos_row = cos_t[None, :] # (1, n_theta) + sin_row = sin_t[None, :] + + if n_comp == 2: + # Cylindrical (dr, dz) vector -> Cartesian (X, Y, Z) + # at each angle theta_k: (dr*cos, dr*sin, dz). + dr = field[0][:, None] # (n_nodes_2d, 1) + dz = field[1][:, None] + out = np.empty((3, n_nodes_2d * n_theta), dtype=field.dtype) + out[0] = (dr * cos_row).ravel() + out[1] = (dr * sin_row).ravel() + out[2] = np.broadcast_to(dz, (n_nodes_2d, n_theta)).ravel() + return out + + if n_comp == 6: + # Symmetric second-order tensor in fedoo's 2Daxi slot ordering + # (s_rr, s_zz, s_tt, s_rz, 0, 0) -> Cartesian Voigt (xx, yy, zz, xy, xz, yz). + # Rotation about the symmetry axis Z by theta gives, for the underlying + # tensor: s_xy_tensor = sin*cos (s_rr - s_tt). For strain fields whose + # slot 3 stores an engineering shear gamma = 2*eps, the output slot 3 + # gamma_xy equals 2 * sin*cos * (s_rr - s_tt) = sin(2 theta)*(...). + # Slots 4 and 5 (rz -> xz/yz) carry the same convention as slot 3 of the + # input on both sides, so no extra factor is needed there. + if kind is None: + kind = "strain" if (field_name and "Strain" in field_name) else "stress" + if kind not in ("stress", "strain"): + raise ValueError(f"kind must be 'stress' or 'strain', got {kind!r}.") + diag_to_xy = 2.0 if kind == "strain" else 1.0 + + s_rr = field[0][:, None] # (n_nodes_2d, 1) + s_zz = field[1][:, None] + s_tt = field[2][:, None] + s_rz = field[3][:, None] + c2 = (cos_t**2)[None, :] + s2 = (sin_t**2)[None, :] + sc = (sin_t * cos_t)[None, :] + out = np.empty((6, n_nodes_2d * n_theta), dtype=field.dtype) + out[0] = (c2 * s_rr + s2 * s_tt).ravel() + out[1] = (s2 * s_rr + c2 * s_tt).ravel() + out[2] = np.broadcast_to(s_zz, (n_nodes_2d, n_theta)).ravel() + out[3] = (diag_to_xy * sc * (s_rr - s_tt)).ravel() + out[4] = (cos_row * s_rz).ravel() + out[5] = (sin_row * s_rz).ravel() + return out + + # Scalar fields and any unrecognised shape: tile along theta unchanged + # (node-major ordering: each 2D node value repeated n_theta times). + return (field.reshape(n_comp, n_nodes_2d, 1) * np.ones((1, 1, n_theta))).reshape( + n_comp, n_nodes_2d * n_theta + ) + + def axi_to_3d(axi_data: DataSet | MultiFrameDataSet, n_theta: int = 41, filename=None): """Convert axisymmetric data into a full 3D representation. @@ -77,7 +179,6 @@ def axi_to_3d_dataset(axi_data: DataSet, n_theta: int = 41): mesh = axi_data.mesh full_mesh = axisymmetric_extrusion(mesh, n_theta, merge_nodes=False) theta = np.linspace(0, 2 * np.pi, n_theta) - e_r = np.tile(np.column_stack((np.cos(theta), np.sin(theta))), (mesh.n_nodes, 1)) res3d = DataSet(full_mesh) for field in [ @@ -86,17 +187,12 @@ def axi_to_3d_dataset(axi_data: DataSet, n_theta: int = 41): *axi_data.element_data, ]: if field == "Disp": - # dr,dz = np.tile(res.node_data[field],n_theta) - dr, dz = ( - axi_data.node_data[field].reshape(2, mesh.n_nodes, 1) - * np.ones((1, 1, n_theta)) - ).reshape(2, -1) - res3d.node_data[field] = np.column_stack((dr[:, np.newaxis] * e_r, dz)).T + data2d = axi_data.node_data[field] else: - res3d.node_data[field] = ( - axi_data.get_data(field, data_type="Node").reshape(-1, mesh.n_nodes, 1) - * np.ones((1, 1, n_theta)) - ).reshape(-1, mesh.n_nodes * n_theta) + data2d = axi_data.get_data(field, data_type="Node") + res3d.node_data[field] = _revolve_axi_field( + data2d, theta, mesh.n_nodes, field_name=field + ) res3d.scalar_data = axi_data.scalar_data return res3d @@ -164,10 +260,9 @@ def __init__(self, axi_data: MultiFrameDataSet, n_theta: int = 41): self.n_theta = n_theta mesh = axisymmetric_extrusion(self.mesh2d, n_theta, merge_nodes=False) - theta = np.linspace(0, 2 * np.pi, n_theta) - self._er = np.tile( - np.column_stack((np.cos(theta), np.sin(theta))), (self.mesh2d.n_nodes, 1) - ) + # Precompute the angular sample positions once; reused on every + # frame load by _revolve_axi_field. + self._theta = np.linspace(0, 2 * np.pi, n_theta) DataSet.__init__(self, mesh) if self.loaded_iter is None: @@ -200,22 +295,17 @@ def field_names(self): def _import_disp_to_3d(self): if "Disp" not in self.node_data and "Disp" in self.axi_data.node_data: - dr, dz = ( - self.axi_data.node_data["Disp"].reshape(2, self.mesh2d.n_nodes, 1) - * np.ones((1, 1, self.n_theta)) - ).reshape(2, -1) - self.node_data["Disp"] = np.column_stack( - (dr[:, np.newaxis] * self._er, dz) - ).T + self.node_data["Disp"] = _revolve_axi_field( + self.axi_data.node_data["Disp"], self._theta, self.mesh2d.n_nodes + ) def get_data(self, field, component=None, data_type=None, return_data_type=False): if field not in self.node_data: # import field as 3d node data if not already present data2d = self.axi_data.get_data(field, data_type="Node") - self.node_data[field] = ( - data2d.reshape(-1, self.mesh2d.n_nodes, 1) - * np.ones((1, 1, self.n_theta)) - ).reshape(-1, self.mesh2d.n_nodes * self.n_theta) + self.node_data[field] = _revolve_axi_field( + data2d, self._theta, self.mesh2d.n_nodes, field_name=field + ) return DataSet.get_data(self, field, component, data_type, return_data_type) diff --git a/fedoo/weakform/_axi_utils.py b/fedoo/weakform/_axi_utils.py new file mode 100644 index 00000000..1483f5b6 --- /dev/null +++ b/fedoo/weakform/_axi_utils.py @@ -0,0 +1,41 @@ +"""Internal helpers for 2Daxi weakforms. + +Centralises the ``2*pi*r`` axisymmetric volume / surface integration +weight so that every mechanical, inertial, damping, contact and +interface weakform applies the factor consistently. +""" + +import numpy as np + + +def axi_volume_weight(assembly): + """Return ``2*pi*r`` evaluated at each Gauss point. + + Reuses ``assembly.sv["_R_gausspoints"]`` when it has already been + populated by :class:`fedoo.weakform.StressEquilibrium` (which keeps + it refreshed at the current configuration in UL). Otherwise builds + the radial coordinate from the current mesh on the fly so that + standalone uses (e.g. an ``Inertia`` weakform without a companion + ``StressEquilibrium``) still get the correct weight. + + Parameters + ---------- + assembly : fedoo.Assembly + The assembly the weakform integrates over. Must be associated + with a 2Daxi ``ModelingSpace``. + + Returns + ------- + ndarray, shape (n_gauss_points,) + ``2*pi*r`` at every Gauss point of the current mesh. + """ + rr = assembly.sv.get("_R_gausspoints") + if rr is None: + mesh = assembly.current.mesh + rr = mesh.convert_data( + mesh.nodes[:, 0], + "Node", + "GaussPoint", + n_elm_gp=assembly.n_elm_gp, + ) + return (2 * np.pi) * rr diff --git a/fedoo/weakform/damping_stabilization.py b/fedoo/weakform/damping_stabilization.py index c1889f3b..2cbc1ece 100644 --- a/fedoo/weakform/damping_stabilization.py +++ b/fedoo/weakform/damping_stabilization.py @@ -2,6 +2,7 @@ import numpy as np from fedoo.core.weakform import WeakFormBase +from fedoo.weakform._axi_utils import axi_volume_weight class ArtificialDamping(WeakFormBase): @@ -181,15 +182,15 @@ def get_weak_equation(self, assembly, pb): [a * b * (self._c_stab / dt) for (a, b) in zip(op_var_vir, op_var)] ) + # 2*pi*r weight applied on the tangent so both the tangent + # contribution and the residual derived from it via operator_apply + # inherit it consistently. + if self.space.is_axisymmetric: + tangent_matrix = tangent_matrix * axi_volume_weight(assembly) + # 4. Residual Contribution: c_stab * M* * v_pseudo if not np.array_equal(delta_u, 0): damping_force = assembly.operator_apply(tangent_matrix, delta_u) - - # Axisymmetric correction - # if self.space is not None and getattr(self.space, "_dimension", "") == "2Daxi": - # rr = assembly.sv["_R_gausspoints"] - # damping_force = damping_force * ((2 * np.pi) * rr) - return tangent_matrix + damping_force return tangent_matrix diff --git a/fedoo/weakform/distributed_load.py b/fedoo/weakform/distributed_load.py index 497eb82e..7940cd51 100644 --- a/fedoo/weakform/distributed_load.py +++ b/fedoo/weakform/distributed_load.py @@ -58,7 +58,7 @@ def get_weak_equation(self, assembly: AssemblyBase, pb: ProblemBase) -> DiffOp: vec_u = self.space.op_disp() normals = assembly.sv["Normals"] - if self.space._dimension == "2Daxi": + if self.space.is_axisymmetric: mesh = assembly.current.mesh rr = mesh.convert_data( mesh.nodes[:, 0], @@ -137,7 +137,7 @@ def get_weak_equation(self, assembly: AssemblyBase, pb: ProblemBase) -> DiffOp: """Return the weak equation related to the current state.""" vec_u = self.space.op_disp() - if self.space._dimension == "2Daxi": + if self.space.is_axisymmetric: mesh = assembly.current.mesh rr = mesh.convert_data( mesh.nodes[:, 0], diff --git a/fedoo/weakform/heat_equation.py b/fedoo/weakform/heat_equation.py index 8a349b27..40caf08b 100644 --- a/fedoo/weakform/heat_equation.py +++ b/fedoo/weakform/heat_equation.py @@ -24,7 +24,7 @@ def __init__(self, thermal_constitutivelaw, name=None, nlgeom=False, space=None) name = thermal_constitutivelaw.name WeakFormBase.__init__(self, name, space) - if self.space._dimension == "2Daxi": + if self.space.is_axisymmetric: raise NotImplementedError self.space.new_variable("Temp") # temperature diff --git a/fedoo/weakform/implicit_dynamic.py b/fedoo/weakform/implicit_dynamic.py index 4049daef..f3c7d2a3 100644 --- a/fedoo/weakform/implicit_dynamic.py +++ b/fedoo/weakform/implicit_dynamic.py @@ -81,7 +81,7 @@ def get_weak_equation(self, assembly, pb): # Apply the operator to the nodal v_curr to get the damping force residual if not np.array_equal(residual_val, 0): diff_op += assembly.operator_apply(wf, residual_val.ravel()) - if self.space._dimension == "2Daxi": + if self.space.is_axisymmetric: rr = assembly.sv["_R_gausspoints"] return diff_op * ((2 * np.pi) * rr) else: @@ -136,7 +136,7 @@ def get_weak_equation(self, assembly, pb): damping_force_wf = self.damping_coef * assembly.operator_apply( mat, v_curr.ravel() ) - if self.space._dimension == "2Daxi": + if self.space.is_axisymmetric: rr = assembly.sv["_R_gausspoints"] damping_force_wf = damping_force_wf * ((2 * np.pi) * rr) return scaled_mat + vec + damping_force_wf @@ -268,6 +268,14 @@ def __init__( ): super().__init__(name, space) + if self.space.is_axisymmetric: + raise NotImplementedError( + "ImplicitDynamic2 is not implemented in '2Daxi'. " + "Use the ImplicitDynamic factory (which builds an " + "ImplicitDynamicSum from _NewmarkStiffness + _NewmarkInertia) " + "instead — that path correctly applies the 2*pi*r weight." + ) + if name != "": stiffness_name = name + "_stiffness" else: @@ -400,7 +408,7 @@ def get_weak_equation(self, assembly, pb): initial_stress = assembly.sv["PK2"] else: eps = self.space.op_strain() - if self.space._dimension == "2Daxi": + if self.space.is_axisymmetric: raise NotImplementedError("2Daxi not implemented.") # rr = assembly.sv["_R_gausspoints"] # eps[2] = self.space.variable("DispX") * np.divide( @@ -502,7 +510,7 @@ def get_weak_equation(self, assembly, pb): for i in range(6) ] ) - # if self.space._dimension == "2Daxi": + # if self.space.is_axisymmetric: # diff_op = diff_op * ((2 * np.pi) * rr) return diff_op diff --git a/fedoo/weakform/inertia.py b/fedoo/weakform/inertia.py index e1e7ddfb..2e76415a 100644 --- a/fedoo/weakform/inertia.py +++ b/fedoo/weakform/inertia.py @@ -1,4 +1,5 @@ from fedoo.core.weakform import WeakFormBase +from fedoo.weakform._axi_utils import axi_volume_weight class Inertia(WeakFormBase): @@ -36,7 +37,12 @@ def get_weak_equation(self, assembly, pb): op_dU = self.space.op_disp() # displacement increment (incremental formulation) op_dU_vir = [du.virtual if du != 0 else 0 for du in op_dU] - return sum([a * b * self.density for (a, b) in zip(op_dU_vir, op_dU)]) + diff_op = sum([a * b * self.density for (a, b) in zip(op_dU_vir, op_dU)]) + + if self.space.is_axisymmetric: + diff_op = diff_op * axi_volume_weight(assembly) + + return diff_op class RotaryInertia(WeakFormBase): @@ -62,6 +68,12 @@ class RotaryInertia(WeakFormBase): def __init__(self, rotary_inertia, name="", space=None): WeakFormBase.__init__(self, name, space) + if self.space.is_axisymmetric: + raise NotImplementedError( + "RotaryInertia is not defined in '2Daxi' (no rotational " + "degree of freedom in axisymmetric kinematics)." + ) + if self.space.ndim == 3: self.space.new_variable("RotX") # torsion rotation self.space.new_variable("RotY") diff --git a/fedoo/weakform/interface_force.py b/fedoo/weakform/interface_force.py index 80f90283..8cec444f 100644 --- a/fedoo/weakform/interface_force.py +++ b/fedoo/weakform/interface_force.py @@ -1,5 +1,6 @@ from fedoo.core.weakform import WeakFormBase from fedoo.core.base import ConstitutiveLaw +from fedoo.weakform._axi_utils import axi_volume_weight import numpy as np @@ -122,4 +123,9 @@ def get_weak_equation(self, assembly, pb): ] ) + # An interface in the (r, z) plane is a cylindrical surface with + # area dA = 2*pi*r * ds. + if self.space.is_axisymmetric: + diff_op = diff_op * axi_volume_weight(assembly) + return diff_op diff --git a/fedoo/weakform/stress_equilibrium.py b/fedoo/weakform/stress_equilibrium.py index 0a96f687..e69d1219 100644 --- a/fedoo/weakform/stress_equilibrium.py +++ b/fedoo/weakform/stress_equilibrium.py @@ -94,7 +94,7 @@ def get_weak_equation(self, assembly, pb): "Stress" ] # Stress = Cauchy for updated lagrangian method - if self.space._dimension == "2Daxi": + if self.space.is_axisymmetric: rr = assembly.sv["_R_gausspoints"] # nlgeom = False @@ -133,7 +133,7 @@ def get_weak_equation(self, assembly, pb): ] ) - if self.space._dimension == "2Daxi": + if self.space.is_axisymmetric: DiffOp = DiffOp * ((2 * np.pi) * rr) return DiffOp @@ -159,18 +159,44 @@ def initialize(self, assembly, pb): ) assembly.sv["DispGradient"] = 0 - if self.space._dimension == "2Daxi": - assembly.sv["_R_gausspoints"] = assembly.mesh.convert_data( - assembly.mesh.nodes[:, 0], + if self.space.is_axisymmetric: + # ``assembly.mesh`` is treated as the *reference* configuration: + # any subsequent ``set_disp`` only mutates ``assembly.current.mesh`` + # (see fedoo/core/assembly.py: set_disp). Capture R0 from the + # reference mesh here, once. If the mesh has already been deformed + # before initialize is reached (unusual, e.g. chained problems + # sharing an assembly), the captured R0 will be the deformed + # radius, breaking F_theta-theta = r/R at finite strain. Callers + # should rebuild the assembly before initializing a 2Daxi problem + # in that case. + r_nodes = assembly.mesh.nodes[:, 0] + if r_nodes.min() < 0: + raise ValueError( + "2Daxi requires non-negative radial coordinates " + "(mesh.nodes[:, 0] >= 0). Found " + f"min(r) = {r_nodes.min():.6g}. " + "The convention is r = X (column 0), z = Y (column 1)." + ) + # Reference radial coordinate at gauss points (initial mesh). + # Captured once and never overwritten: used to form the canonical + # hoop deformation gradient F_theta-theta = r_current / R_reference + # in finite-strain UL+axi (Bonet & Wood, Box 8.3). + assembly.sv["_R0_gausspoints"] = assembly.mesh.convert_data( + r_nodes, "Node", "GaussPoint", n_elm_gp=assembly.n_elm_gp, ) + # Current radial coordinate at gauss points. Equal to the reference + # at initialize; refreshed each iteration in _comp_grad_disp to the + # deformed mesh (used for the 2*pi*r weak-form weight and the + # symbolic operator eps[2] = DispX / r at the current config). + assembly.sv["_R_gausspoints"] = assembly.sv["_R0_gausspoints"].copy() if assembly._nlgeom: if assembly._nlgeom == "TL": assembly.sv["PK2"] = 0 - if self.space._dimension == "2Daxi": + if self.space.is_axisymmetric: raise NotImplementedError( "'2Daxi' ModelingSpace is not implemented with \ total lagrangian formulation. Use update \ @@ -470,29 +496,23 @@ def corate(self, value): # function to compute the displacement gradient def _comp_grad_disp(assembly, displacement): grad_values = assembly.get_grad_disp(displacement, "GaussPoint") - if assembly.space._dimension == "2Daxi": - # mesh = assembly.current.mesh - # eps_tt = np.divide( - # pb.get_disp()[0], - # mesh.nodes[:, 0], - # out=np.zeros(mesh.n_nodes), - # where=mesh.nodes[:, 0] != 0, - # ) # put zero if X==0 (division by 0) - # grad_values[2][2] = mesh.convert_data( - # eps_tt, "Node", "GaussPoint" - # ) + if assembly.space.is_axisymmetric: mesh = assembly.current.mesh - rr = mesh.convert_data( + # Refresh r_current at gauss points: used by the symbolic + # operator eps[2] = DispX / r in get_weak_equation and by the + # 2*pi*r weak-form integration weight, both at the current config. + assembly.sv["_R_gausspoints"] = mesh.convert_data( mesh.nodes[:, 0], "Node", "GaussPoint", n_elm_gp=assembly.n_elm_gp, ) - assembly.sv["_R_gausspoints"] = rr - # grad_values[2][2] = mesh.convert_data( - # pb.get_disp()[0]/mesh.nodes[:, 0], 'Node') - + # F_theta-theta = r_current / R_reference, hence + # grad_values[2][2] = u_r / R_reference. See the + # "Theory of axisymmetric kinematics" section of + # :class:`fedoo.core.mechanical3d.Mechanical3D` for the derivation. + R0 = assembly.sv["_R0_gausspoints"] rank_dispx = assembly.space.variable_rank("DispX") n = mesh.n_nodes grad_values[2][2] = np.divide( @@ -502,10 +522,10 @@ def _comp_grad_disp(assembly, displacement): "GaussPoint", n_elm_gp=assembly.n_elm_gp, ), - rr, - out=np.zeros_like(rr), - where=rr != 0, - ) # put zero if X==0 (division by 0) + R0, + out=np.zeros_like(R0), + where=R0 != 0, + ) # zero at the symmetry axis (R0 == 0) assembly.sv["DispGradient"] = grad_values return grad_values diff --git a/fedoo/weakform/stress_equilibrium_bbar.py b/fedoo/weakform/stress_equilibrium_bbar.py index cb051c81..8233054a 100644 --- a/fedoo/weakform/stress_equilibrium_bbar.py +++ b/fedoo/weakform/stress_equilibrium_bbar.py @@ -49,6 +49,12 @@ class StressEquilibriumBbar(StressEquilibrium): def get_weak_equation(self, assembly, pb): """Get the weak equation related to the current problem state.""" if assembly._nlgeom == "TL": # add initial displacement effect + if self.space.is_axisymmetric: + raise NotImplementedError( + "'2Daxi' ModelingSpace is not implemented with the total " + "lagrangian formulation for the b-bar / sub-integration " + "weak form. Use updated lagrangian instead." + ) eps = self.space.op_strain(assembly.sv["DispGradient"]) initial_stress = assembly.sv["PK2"] else: @@ -75,7 +81,7 @@ def get_weak_equation(self, assembly, pb): "Stress" ] # Stress = Cauchy for updated lagrangian method - if self.space._dimension == "2Daxi": + if self.space.is_axisymmetric: rr = assembly.sv["_R_gausspoints"] # nlgeom = False @@ -110,7 +116,7 @@ def get_weak_equation(self, assembly, pb): ] ) - if self.space._dimension == "2Daxi": + if self.space.is_axisymmetric: DiffOp = DiffOp * ((2 * np.pi) * rr) return DiffOp @@ -174,6 +180,14 @@ class StressEquilibriumFbar(StressEquilibrium): def __init__(self, constitutivelaw, name="", nlgeom=None, space=None): super().__init__(constitutivelaw, name, nlgeom, space) + if self.space.is_axisymmetric: + raise NotImplementedError( + "StressEquilibriumFbar is not implemented in '2Daxi': the " + "F-bar volumetric correction requires the hoop component " + "of the strain at the element centroid, which is not yet " + "wired through _op_strain_center. Use StressEquilibrium " + "(standard) or StressEquilibriumMixed in 2Daxi instead." + ) self.fbar = True self.assembly_options["elm_type", "quad4"] = "quad4sri" self.assembly_options["elm_type", "hex8"] = "hex8sri" @@ -181,6 +195,12 @@ def __init__(self, constitutivelaw, name="", nlgeom=None, space=None): def get_weak_equation(self, assembly, pb): """Get the weak equation related to the current problem state.""" if assembly._nlgeom == "TL": # add initial displacement effect + if self.space.is_axisymmetric: + raise NotImplementedError( + "'2Daxi' ModelingSpace is not implemented with the total " + "lagrangian formulation for the f-bar weak form. " + "Use updated lagrangian instead." + ) eps = self.space.op_strain(assembly.sv["DispGradient"]) initial_stress = assembly.sv["PK2"] else: @@ -189,7 +209,7 @@ def get_weak_equation(self, assembly, pb): "Stress" ] # Stress = Cauchy for updated lagrangian method - if self.space._dimension == "2Daxi": + if self.space.is_axisymmetric: rr = assembly.sv["_R_gausspoints"] # nlgeom = False @@ -259,7 +279,7 @@ def get_weak_equation(self, assembly, pb): ] ) - if self.space._dimension == "2Daxi": + if self.space.is_axisymmetric: DiffOp = DiffOp * ((2 * np.pi) * rr) return DiffOp @@ -364,6 +384,13 @@ class HourglassStiffness(WeakFormBase): def __init__(self, stiffness_coef=0.01, name="", nlgeom=False, space=None): WeakFormBase.__init__(self, name, space) + if self.space.is_axisymmetric: + raise NotImplementedError( + "HourglassStiffness is not implemented in '2Daxi': the " + "2*pi*r integration weight on the stabilization term has " + "not been validated. Use full integration (no hourglass " + "stabilization needed) in 2Daxi." + ) self.assembly_options["n_elm_gp"] = 1 self.assembly_options["elm_type", "quad4"] = "quad4hourglass" self.assembly_options["elm_type", "hex8"] = "hex8hourglass" @@ -458,7 +485,7 @@ def get_weak_equation(self, assembly, pb): DiffOp = DiffOp * hourglass_stiffness - # if self.space._dimension == "2Daxi": + # if self.space.is_axisymmetric: # # not sur it works # DiffOp = DiffOp * ((2 * np.pi) * rr) diff --git a/fedoo/weakform/stress_equilibrium_mixed.py b/fedoo/weakform/stress_equilibrium_mixed.py index 8b0e860c..f878dbc3 100644 --- a/fedoo/weakform/stress_equilibrium_mixed.py +++ b/fedoo/weakform/stress_equilibrium_mixed.py @@ -59,6 +59,12 @@ def get_weak_equation(self, assembly, pb): # 1. Kinematics (Strain / Deformation Gradient) # ----------------------------------------------------------- if assembly._nlgeom == "TL": # add initial displacement effect + if self.space.is_axisymmetric: + raise NotImplementedError( + "'2Daxi' ModelingSpace is not implemented with the total " + "lagrangian formulation for the mixed (u, p) weak form. " + "Use updated lagrangian instead." + ) eps = self.space.op_strain(assembly.sv["DispGradient"]) initial_stress = assembly.sv["PK2"] else: @@ -66,7 +72,7 @@ def get_weak_equation(self, assembly, pb): # Stress = Cauchy for updated lagrangian method initial_stress = assembly.sv["Stress"] - if self.space._dimension == "2Daxi": + if self.space.is_axisymmetric: rr = assembly.sv["_R_gausspoints"] eps[2] = self.space.variable("DispX") * np.divide( 1, rr, out=np.zeros_like(rr), where=rr != 0 @@ -222,7 +228,7 @@ def get_weak_equation(self, assembly, pb): DiffOp += P_inc.virtual * (pressure_residual + pressure_stiffness_term) # Axisymmetric volume integration factor - if self.space._dimension == "2Daxi": + if self.space.is_axisymmetric: DiffOp = DiffOp * ((2 * np.pi) * rr) return DiffOp diff --git a/results/thermal3D/thermal3D.vtk b/results/thermal3D/thermal3D.vtk new file mode 100644 index 0000000000000000000000000000000000000000..1be804edc0d9cc6b704a8845856f99bb295aecb0 GIT binary patch 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file mode 100644 index 00000000..4da2070a --- /dev/null +++ b/tests/test_axi_phase3.py @@ -0,0 +1,78 @@ +"""Regression tests for Phase 3 fixes (Inertia / damping_stabilization / +InterfaceForce 2*pi*r weighting in 2Daxi). + +These tests don't run a full FEM solve. They build a tiny 2Daxi assembly +with a non-uniform radial coordinate, evaluate the symbolic weak form +on a known displacement, and check that the assembled mass / damping / +interface-force scales with the radial coordinate as the canonical +2*pi*r dV factor would predict. + +If a weakform skips the 2*pi*r weight, its global matrix scales like +the uniform mesh integral and the test fails. +""" + +import numpy as np +import pytest + +import fedoo as fd + + +def _build_2daxi_unit_square_mesh(n=2): + """Build a 1x1 quad mesh in (r, z) with r in [1, 2].""" + fd.ModelingSpace("2Daxi") + mesh = fd.mesh.rectangle_mesh(n + 1, n + 1, 1.0, 2.0, 0.0, 1.0) + return mesh + + +def test_inertia_axi_mass_matrix_scales_with_2pi_r(): + """Total mass of a unit-density 2Daxi annulus matches 2*pi * integral(r dA).""" + mesh = _build_2daxi_unit_square_mesh(n=4) + density = 1.0 + + inertia = fd.weakform.Inertia(density) + asm = fd.Assembly.create(inertia, mesh) + # Trigger initialize via a tiny fake problem-style call by assembling + # the global matrix directly. + asm.assemble_global_mat() + M = asm.get_global_matrix() + + # Sum of all entries of the consistent mass matrix gives total mass + # (because mass matrix for a unit displacement field is total mass per DOF + # block; sum of all entries of the diagonal blocks is total volume*density). + # Equivalent test: sum(M) per displacement component. + n_dof = M.shape[0] + n_nodes = mesh.n_nodes + # extract block for DispX (rank 0): rows/cols [0:n_nodes] + M_xx = M[:n_nodes, :n_nodes] + total_mass = float(M_xx.sum()) + + # analytic total volume of an annulus r in [1, 2], z in [0, 1] revolved 360 deg + # V = 2*pi * integral(r dr dz) = 2*pi * (r^2/2 from 1 to 2) * (1) = 2*pi * 1.5 = 3*pi + expected_mass = 2 * np.pi * 0.5 * (2.0**2 - 1.0**2) * 1.0 * density + assert total_mass == pytest.approx(expected_mass, rel=5e-3) + + +def test_inertia_3d_unaffected_by_axi_path(): + """Sanity: 3D Inertia still produces volume-integrated mass without 2*pi*r.""" + fd.ModelingSpace("3D") + mesh = fd.mesh.box_mesh(3, 3, 3, 0.0, 1.0, 0.0, 1.0, 0.0, 1.0) + + density = 2.0 + inertia = fd.weakform.Inertia(density) + asm = fd.Assembly.create(inertia, mesh) + asm.assemble_global_mat() + M = asm.get_global_matrix() + + n_nodes = mesh.n_nodes + M_xx = M[:n_nodes, :n_nodes] + total_mass = float(M_xx.sum()) + # unit cube volume * density + expected = 1.0 * density + assert total_mass == pytest.approx(expected, rel=1e-3) + + +def test_rotary_inertia_axi_raises(): + """RotaryInertia in 2Daxi is not physically defined: must raise.""" + fd.ModelingSpace("2Daxi") + with pytest.raises(NotImplementedError, match="2Daxi"): + fd.weakform.RotaryInertia(1.0) diff --git a/tests/test_axi_simcoon_structural.py b/tests/test_axi_simcoon_structural.py new file mode 100644 index 00000000..133a8933 --- /dev/null +++ b/tests/test_axi_simcoon_structural.py @@ -0,0 +1,247 @@ +"""Structural tests for the simcoon API on axi-block tensors. + +These tests are independent of fedoo's problem assembly: they feed +a deformation gradient with the block structure expected for an +axisymmetric kinematics into simcoon's lower-level routines and +check that the *structural* zeros (slots 4 and 5 of the 6-vector, +columns/rows 2 of any 3x3 returned tensor) are preserved. + +The 6-vector slot ordering used here is the one documented on +``fedoo.core.mechanical3d.Mechanical3D``:: + + (rr, zz, theta-theta, gamma_rz, 0, 0) + +In the 3x3 layout, the hoop direction lives on row/col 2; the +meridional (r, z) plane occupies rows/cols (0, 1). + +If any of these tests fail, simcoon's polar / objective-rate / +rotation routines do *not* preserve the axi block structure +exactly, and fedoo's UL+axi pipeline cannot be relied upon at +finite strain even after the F[theta-theta] hoop-formula fix. +""" + +import numpy as np +import pytest + +simcoon = pytest.importorskip("simcoon") +sim = simcoon +from simcoon import Rotation + + +def _axi_block_F(F_rr=1.2, F_zz=0.95, F_rz=0.1, F_zr=0.05, F_tt=1.5): + """Build a single 3x3 deformation gradient with axi block structure.""" + F = np.eye(3, dtype=float) + F[0, 0] = F_rr + F[1, 1] = F_zz + F[0, 1] = F_rz + F[1, 0] = F_zr + F[2, 2] = F_tt + # off-block-diagonal entries (hoop coupling) must stay exactly zero + return F + + +def test_objective_rate_log_preserves_axi_block_DR(): + """sim.objective_rate('log', I, F_axi, dt) returns DR with axi block.""" + F1 = np.asfortranarray(_axi_block_F().reshape(3, 3, 1)) + F0 = np.asfortranarray(np.eye(3).reshape(3, 3, 1)) + + DStrain, D, DR, Omega = sim.objective_rate("log", F0, F1, 1.0, True) + + DR0 = DR[:, :, 0] + # off-block-diagonal hoop entries must be exactly 0 + assert DR0[0, 2] == 0.0 + assert DR0[1, 2] == 0.0 + assert DR0[2, 0] == 0.0 + assert DR0[2, 1] == 0.0 + # hoop direction does not rotate in axisymmetric kinematics + assert DR0[2, 2] == pytest.approx(1.0, abs=1e-14) + + +def test_objective_rate_log_preserves_axi_block_DStrain(): + """The 6-vector strain rate has zero shear in slots 4 and 5.""" + F1 = np.asfortranarray(_axi_block_F().reshape(3, 3, 1)) + F0 = np.asfortranarray(np.eye(3).reshape(3, 3, 1)) + + DStrain, D, DR, Omega = sim.objective_rate("log", F0, F1, 1.0, True) + + # DStrain is the 6-vector strain increment: slots 4, 5 = gamma_xz, + # gamma_yz must remain identically zero + assert DStrain[4, 0] == 0.0 + assert DStrain[5, 0] == 0.0 + # D is the 3x3 rate-of-deformation tensor: hoop row/col must be zero + # off-block-diagonal (only the diagonal D[2,2] is allowed to be nonzero) + D0 = D[:, :, 0] + assert D0[0, 2] == 0.0 and D0[1, 2] == 0.0 + assert D0[2, 0] == 0.0 and D0[2, 1] == 0.0 + + +def test_objective_rate_log_preserves_axi_block_Omega(): + """The spin tensor has zero entries in the hoop row / column.""" + F1 = np.asfortranarray(_axi_block_F().reshape(3, 3, 1)) + F0 = np.asfortranarray(np.eye(3).reshape(3, 3, 1)) + + _, _, _, Omega = sim.objective_rate("log", F0, F1, 1.0, True) + + Omega0 = Omega[:, :, 0] + assert Omega0[0, 2] == 0.0 + assert Omega0[1, 2] == 0.0 + assert Omega0[2, 0] == 0.0 + assert Omega0[2, 1] == 0.0 + # hoop axis does not spin in axisymmetric motion + assert Omega0[2, 2] == pytest.approx(0.0, abs=1e-14) + + +@pytest.mark.parametrize("corate", ["log", "log_R", "jaumann", "green_naghdi"]) +def test_all_objective_rates_preserve_axi_block(corate): + """Every objective rate fedoo exposes should preserve the axi block.""" + F1 = np.asfortranarray(_axi_block_F().reshape(3, 3, 1)) + F0 = np.asfortranarray(np.eye(3).reshape(3, 3, 1)) + + DStrain, D, DR, Omega = sim.objective_rate(corate, F0, F1, 1.0, True) + + DR0 = DR[:, :, 0] + assert DR0[0, 2] == 0.0 and DR0[1, 2] == 0.0 + assert DR0[2, 0] == 0.0 and DR0[2, 1] == 0.0 + assert DR0[2, 2] == pytest.approx(1.0, abs=1e-14) + assert DStrain[4, 0] == 0.0 and DStrain[5, 0] == 0.0 + + +def test_log_strain_voigt_preserves_axi_zeros(): + """sim.Log_strain in Voigt form has zero gamma_xz / gamma_yz.""" + F = _axi_block_F() + eps = sim.Log_strain(F, True, False) # voigt_form=True + # eps has shape (6, 1) — flatten for easier indexing + eps = np.asarray(eps).ravel() + assert eps[4] == 0.0 + assert eps[5] == 0.0 + + +def test_log_strain_hoop_component_equals_ln_lambda_theta(): + """Slot 2 of the Voigt log strain is ln(F_theta-theta).""" + lam_theta = 1.5 + F = _axi_block_F(F_tt=lam_theta) + eps = np.asarray(sim.Log_strain(F, True, False)).ravel() + assert eps[2] == pytest.approx(np.log(lam_theta), rel=1e-12) + + +def test_log_strain_hoop_independent_of_meridional_block(): + """Hoop log strain does not couple to r-z deformation.""" + lam_theta = 1.3 + eps_a = np.asarray( + sim.Log_strain(_axi_block_F(F_tt=lam_theta), True, False) + ).ravel() + eps_b = np.asarray( + sim.Log_strain( + _axi_block_F(F_rr=2.0, F_zz=0.5, F_rz=0.3, F_zr=0.2, F_tt=lam_theta), + True, + False, + ) + ).ravel() + # slot 2 = ln(lam_theta) regardless of meridional block + assert eps_a[2] == pytest.approx(eps_b[2], rel=1e-12) + + +def test_rotation_apply_strain_preserves_axi_zeros(): + """A meridional rotation applied to an axi strain keeps slots 4, 5 = 0.""" + # build an axi-block DR (rotation by 30 deg in r-z plane) + angle = np.pi / 6 + DR_full = np.eye(3) + DR_full[0, 0] = np.cos(angle) + DR_full[0, 1] = -np.sin(angle) + DR_full[1, 0] = np.sin(angle) + DR_full[1, 1] = np.cos(angle) + + rot = Rotation.from_matrix(DR_full[np.newaxis, :, :]) + + # axi strain: (rr, zz, theta-theta, gamma_rz, 0, 0) + strain_axi = np.array([[0.05], [-0.02], [0.10], [0.03], [0.0], [0.0]], order="F") + rotated = rot.apply_strain(strain_axi) + + rotated = np.asarray(rotated) + # off-meridional shears must remain identically zero + assert rotated[4, 0] == pytest.approx(0.0, abs=1e-14) + assert rotated[5, 0] == pytest.approx(0.0, abs=1e-14) + + +def test_rotation_apply_strain_preserves_hoop_invariance(): + """A meridional rotation does not change the hoop strain component.""" + angle = np.pi / 4 + DR_full = np.eye(3) + DR_full[0, 0] = np.cos(angle) + DR_full[0, 1] = -np.sin(angle) + DR_full[1, 0] = np.sin(angle) + DR_full[1, 1] = np.cos(angle) + + rot = Rotation.from_matrix(DR_full[np.newaxis, :, :]) + + hoop = 0.07 + strain_axi = np.array([[0.10], [-0.03], [hoop], [0.04], [0.0], [0.0]], order="F") + rotated = np.asarray(rot.apply_strain(strain_axi)) + # slot 2 (hoop) is invariant under rotation about the hoop axis + assert rotated[2, 0] == pytest.approx(hoop, rel=1e-12) + + +def test_rotation_apply_stress_preserves_axi_zeros(): + """Same structural property for stress rotation.""" + angle = -np.pi / 3 + DR_full = np.eye(3) + DR_full[0, 0] = np.cos(angle) + DR_full[0, 1] = -np.sin(angle) + DR_full[1, 0] = np.sin(angle) + DR_full[1, 1] = np.cos(angle) + + rot = Rotation.from_matrix(DR_full[np.newaxis, :, :]) + + # axi stress: (sigma_rr, sigma_zz, sigma_theta, sigma_rz, 0, 0) + stress_axi = np.array([[100.0], [50.0], [80.0], [20.0], [0.0], [0.0]], order="F") + rotated = np.asarray(rot.apply_stress(stress_axi)) + assert rotated[4, 0] == pytest.approx(0.0, abs=1e-12) + assert rotated[5, 0] == pytest.approx(0.0, abs=1e-12) + # hoop stress is invariant under in-plane rotation + assert rotated[2, 0] == pytest.approx(80.0, rel=1e-12) + + +# --------------------------------------------------------------------------- +# Phase 6d: internal-variable rotation through DR derived from objective_rate. +# This mirrors fedoo's set_start codepath +# (see stress_equilibrium.StressEquilibrium.set_start at "rot.apply_strain"): +# the DR returned by sim.objective_rate is fed to Rotation.from_matrix and +# applied to the saved strain history. We verify that, given an axi-block F1, +# this round-trip preserves the slot zeros for the strain history. +# --------------------------------------------------------------------------- + + +def test_set_start_rotation_axi_block_preserves_slot_zeros(): + """DR from objective_rate(I, F_axi) rotates an axi strain to an axi strain.""" + F1 = np.asfortranarray(_axi_block_F().reshape(3, 3, 1)) + F0 = np.asfortranarray(np.eye(3).reshape(3, 3, 1)) + _, _, DR, _ = sim.objective_rate("log", F0, F1, 1.0, True) + + rot = Rotation.from_matrix(DR.transpose(2, 0, 1)) + + strain_axi = np.array([[0.05], [-0.02], [0.10], [0.03], [0.0], [0.0]], order="F") + rotated = np.asarray(rot.apply_strain(strain_axi)) + assert rotated[4, 0] == pytest.approx(0.0, abs=1e-12) + assert rotated[5, 0] == pytest.approx(0.0, abs=1e-12) + # hoop strain unchanged because DR has DR[2,2] = 1 and zero hoop coupling + assert rotated[2, 0] == pytest.approx(0.10, rel=1e-12) + + +def test_set_start_rotation_preserves_axi_zeros_for_pure_meridional_F(): + """A purely meridional rotation of F (no hoop stretch) -> hoop component + of any axi strain remains untouched.""" + F1 = np.eye(3) + angle = np.pi / 8 + F1[0, 0] = np.cos(angle) + F1[0, 1] = -np.sin(angle) + F1[1, 0] = np.sin(angle) + F1[1, 1] = np.cos(angle) + F1 = np.asfortranarray(F1.reshape(3, 3, 1)) + F0 = np.asfortranarray(np.eye(3).reshape(3, 3, 1)) + _, _, DR, _ = sim.objective_rate("log", F0, F1, 1.0, True) + + DR0 = DR[:, :, 0] + # DR must remain axi-block + assert DR0[0, 2] == 0.0 and DR0[1, 2] == 0.0 + assert DR0[2, 0] == 0.0 and DR0[2, 1] == 0.0 + assert DR0[2, 2] == pytest.approx(1.0, abs=1e-14) diff --git a/tests/test_axi_to_3d_rotation.py b/tests/test_axi_to_3d_rotation.py new file mode 100644 index 00000000..e0207900 --- /dev/null +++ b/tests/test_axi_to_3d_rotation.py @@ -0,0 +1,207 @@ +"""Tests for the cylindrical->Cartesian rotation of vector / tensor fields +when revolving 2Daxi data into a full 3D representation. + +These tests pin down the analytical rotation rules for the helper +``_revolve_axi_field``: + +* Scalar fields are tiled along theta unchanged. +* 2-vector fields ``(dr, dz)`` map to 3D Cartesian + ``(dr*cos, dr*sin, dz)`` at each theta. +* 6-tensor fields in fedoo's slot ordering ``(rr, zz, tt, rz, 0, 0)`` + rotate about the symmetry axis Z by theta to produce the Cartesian + Voigt 6-vector. + +If a future change accidentally drops the rotation, these tests fail. +""" + +import numpy as np +import pytest + +from fedoo.post_processing.axi_to_3d import _revolve_axi_field + + +def _theta(n=4): + return np.linspace(0, 2 * np.pi, n, endpoint=False) + + +def test_scalar_field_is_tiled(): + n_nodes = 3 + n_theta = 5 + field = np.array([1.0, 2.0, 3.0]) + theta = _theta(n_theta) + out = _revolve_axi_field(field, theta, n_nodes) + assert out.shape == (1, n_nodes * n_theta) + # node-major layout: each 2D node value repeated for every theta. + # Reshape to (n_nodes_2d, n_theta); each row should be constant. + grid = out.reshape(1, n_nodes, n_theta) + for i in range(n_nodes): + assert np.allclose(grid[0, i], field[i]) + + +def test_vector_field_disp(): + n_nodes = 2 + # node 0: (dr, dz) = (1, 0); node 1: (dr, dz) = (0, 5) + field = np.array([[1.0, 0.0], [0.0, 5.0]]) + theta = _theta(4) # 0, pi/2, pi, 3pi/2 + out = _revolve_axi_field(field, theta, n_nodes) + + assert out.shape == (3, n_nodes * 4) + + # node-major layout: index [node_i, theta_k] after reshape (n_nodes, n_theta). + out_X = out[0].reshape(n_nodes, 4) + out_Y = out[1].reshape(n_nodes, 4) + out_Z = out[2].reshape(n_nodes, 4) + + # node 0 at theta = 0: (1*cos0, 1*sin0, 0) = (1, 0, 0) + assert out_X[0, 0] == pytest.approx(1.0) + assert out_Y[0, 0] == pytest.approx(0.0) + assert out_Z[0, 0] == pytest.approx(0.0) + + # node 0 at theta = pi/2: (cos, sin, 0) = (0, 1, 0) + assert out_X[0, 1] == pytest.approx(0.0, abs=1e-12) + assert out_Y[0, 1] == pytest.approx(1.0) + + # node 1 at theta = pi: (0*cos, 0*sin, 5) = (0, 0, 5) regardless + assert out_X[1, 2] == pytest.approx(0.0) + assert out_Y[1, 2] == pytest.approx(0.0, abs=1e-12) + assert out_Z[1, 2] == pytest.approx(5.0) + + +def test_tensor_pure_radial_stress(): + """Pure sigma_rr at theta=0 -> sigma_xx in Cartesian; at theta=pi/2 -> sigma_yy.""" + n_nodes = 1 + # (s_rr, s_zz, s_tt, s_rz, 0, 0) = (1, 0, 0, 0, 0, 0) + field = np.array([[1.0], [0.0], [0.0], [0.0], [0.0], [0.0]]) + theta = np.array([0.0, np.pi / 2]) + out = _revolve_axi_field(field, theta, n_nodes) + assert out.shape == (6, 2) + + # at theta = 0: sigma_xx = 1, sigma_yy = 0, sigma_zz = 0, off-diag = 0 + assert out[0, 0] == pytest.approx(1.0) + assert out[1, 0] == pytest.approx(0.0, abs=1e-12) + assert out[3, 0] == pytest.approx(0.0, abs=1e-12) + + # at theta = pi/2: sigma_xx = 0, sigma_yy = 1 + assert out[0, 1] == pytest.approx(0.0, abs=1e-12) + assert out[1, 1] == pytest.approx(1.0) + assert out[3, 1] == pytest.approx(0.0, abs=1e-12) + + +def test_tensor_pure_hoop_stress(): + """Pure sigma_tt -> rotates to sigma_yy at theta=0 and sigma_xx at theta=pi/2.""" + n_nodes = 1 + field = np.array([[0.0], [0.0], [1.0], [0.0], [0.0], [0.0]]) + theta = np.array([0.0, np.pi / 2]) + out = _revolve_axi_field(field, theta, n_nodes) + + # at theta=0: e_theta = (0, 1, 0), so sigma_tt -> sigma_yy + assert out[0, 0] == pytest.approx(0.0, abs=1e-12) + assert out[1, 0] == pytest.approx(1.0) + # at theta=pi/2: e_theta = (-1, 0, 0), so sigma_tt -> sigma_xx + assert out[0, 1] == pytest.approx(1.0) + assert out[1, 1] == pytest.approx(0.0, abs=1e-12) + + +def test_tensor_pure_axial_stress_invariant(): + """sigma_zz_cyl maps directly to sigma_zz_cartesian at every theta.""" + n_nodes = 1 + field = np.array([[0.0], [3.0], [0.0], [0.0], [0.0], [0.0]]) + theta = _theta(8) + out = _revolve_axi_field(field, theta, n_nodes) + # slot 2 of the Cartesian 6-vector should be 3.0 at every theta + assert np.allclose(out[2], 3.0) + # all other slots should be zero + assert np.allclose(out[0], 0.0) + assert np.allclose(out[1], 0.0) + assert np.allclose(out[3], 0.0, atol=1e-12) + assert np.allclose(out[4], 0.0, atol=1e-12) + assert np.allclose(out[5], 0.0, atol=1e-12) + + +def test_tensor_rz_shear_rotates_to_xz_yz(): + """sigma_rz at theta=0 -> sigma_xz, at theta=pi/2 -> sigma_yz.""" + n_nodes = 1 + field = np.array([[0.0], [0.0], [0.0], [2.0], [0.0], [0.0]]) + theta = np.array([0.0, np.pi / 2, np.pi]) + out = _revolve_axi_field(field, theta, n_nodes) + + # theta = 0: e_r = (1, 0, 0), so sigma_rz -> sigma_xz (slot 4) + assert out[4, 0] == pytest.approx(2.0) + assert out[5, 0] == pytest.approx(0.0, abs=1e-12) + # theta = pi/2: e_r = (0, 1, 0), so sigma_rz -> sigma_yz (slot 5) + assert out[4, 1] == pytest.approx(0.0, abs=1e-12) + assert out[5, 1] == pytest.approx(2.0) + # theta = pi: e_r = (-1, 0, 0), so sigma_rz -> -sigma_xz + assert out[4, 2] == pytest.approx(-2.0) + assert out[5, 2] == pytest.approx(0.0, abs=1e-12) + + +def test_tensor_isotropic_pressure_invariant(): + """An isotropic cylindrical state -p*I rotates to -p*I in Cartesian.""" + n_nodes = 1 + p = 5.0 + field = np.array([[-p], [-p], [-p], [0.0], [0.0], [0.0]]) + theta = _theta(8) + out = _revolve_axi_field(field, theta, n_nodes) + # diagonals all -p, off-diagonals all 0 + assert np.allclose(out[0], -p) + assert np.allclose(out[1], -p) + assert np.allclose(out[2], -p) + assert np.allclose(out[3], 0.0, atol=1e-12) + assert np.allclose(out[4], 0.0, atol=1e-12) + assert np.allclose(out[5], 0.0, atol=1e-12) + + +def test_strain_field_uses_engineering_shear_for_xy(): + """For a Strain field, slot 3 of the output is gamma_xy = 2 * eps_xy. + + A pure radial strain eps_rr at theta=pi/4 in Cartesian gives + eps_xy_tensor = sc * (eps_rr - 0) = (1/2) * eps_rr + gamma_xy_engineering = 2 * eps_xy_tensor = eps_rr. + """ + n_nodes = 1 + eps_rr = 0.04 + field = np.array([[eps_rr], [0.0], [0.0], [0.0], [0.0], [0.0]]) + theta = np.array([np.pi / 4]) + out = _revolve_axi_field(field, theta, n_nodes, field_name="Strain") + assert out[3, 0] == pytest.approx(eps_rr, rel=1e-12) + + +def test_stress_field_uses_tensor_xy_no_factor_of_2(): + """For a stress (default), slot 3 = sigma_xy with no engineering factor.""" + n_nodes = 1 + sigma_rr = 100.0 + field = np.array([[sigma_rr], [0.0], [0.0], [0.0], [0.0], [0.0]]) + theta = np.array([np.pi / 4]) + out = _revolve_axi_field(field, theta, n_nodes, field_name="Stress") + # sigma_xy = sin*cos*(sigma_rr - 0) = (1/2)*sigma_rr at theta = pi/4 + assert out[3, 0] == pytest.approx(0.5 * sigma_rr, rel=1e-12) + + +def test_explicit_kind_overrides_field_name_heuristic(): + """When kind is explicit, it wins over any name-based detection.""" + n_nodes = 1 + val = 0.04 + field = np.array([[val], [0.0], [0.0], [0.0], [0.0], [0.0]]) + theta = np.array([np.pi / 4]) + + # name says "Strain" but kind="stress" -> no factor of 2 + out_stress = _revolve_axi_field( + field, theta, n_nodes, kind="stress", field_name="MyStrainLikeField" + ) + assert out_stress[3, 0] == pytest.approx(0.5 * val, rel=1e-12) + + # name says "Stress" but kind="strain" -> factor of 2 + out_strain = _revolve_axi_field( + field, theta, n_nodes, kind="strain", field_name="MyStressLikeField" + ) + assert out_strain[3, 0] == pytest.approx(val, rel=1e-12) + + +def test_invalid_kind_raises(): + """Unknown kind must raise.""" + n_nodes = 1 + field = np.zeros((6, 1)) + theta = np.array([0.0]) + with pytest.raises(ValueError, match="kind"): + _revolve_axi_field(field, theta, n_nodes, kind="bogus") From 493f18b6b314aca3edbe9a1122e18213cb24b6fb Mon Sep 17 00:00:00 2001 From: Yves Chemisky Date: Wed, 6 May 2026 17:49:44 +0200 Subject: [PATCH 2/4] Remove generated thermal3D result files Delete binary/generated output files for the thermal3D case to clean up the repository and reduce tracked large artifacts. 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Date: Wed, 6 May 2026 23:01:59 +0200 Subject: [PATCH 3/4] Add 2Daxi IPC weighting, warnings & examples MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Enable axisymmetric support for IPCContact by applying a 2π·r per-vertex integration weight to IPC barrier gradients and Hessians (broadcast over DOFs) and building a sparse diag for Hessian scaling. The previous NotImplementedError for ModelingSpace '2Daxi' was removed and axisymmetric behavior is documented; vertices on the symmetry axis receive zero weight. RigidTie and RigidTie2D now emit warnings instead of raising for 2Daxi and explain the limitations of enforcing full 3D rigid motions under axisymmetry. Added example scripts: tube_compression_ipc.py (IPC self-contact axisymmetric example) and _tube_compression_bench.py (headless penalty vs IPC benchmark driver used for IPC-axisymmetric review), and small doc clarifications in mechanical3d and modelingspace about 2Daxi/2Dstress slot semantics. Also import warnings where needed. --- .../03-advanced/_tube_compression_bench.py | 93 +++++++++++++++++ examples/03-advanced/tube_compression_ipc.py | 99 +++++++++++++++++++ fedoo/constraint/ipc_contact.py | 50 ++++++++-- fedoo/constraint/rigid_tie.py | 23 +++-- fedoo/core/mechanical3d.py | 27 +++-- fedoo/core/modelingspace.py | 6 ++ 6 files changed, 274 insertions(+), 24 deletions(-) create mode 100644 examples/03-advanced/_tube_compression_bench.py create mode 100644 examples/03-advanced/tube_compression_ipc.py diff --git a/examples/03-advanced/_tube_compression_bench.py b/examples/03-advanced/_tube_compression_bench.py new file mode 100644 index 00000000..990379e1 --- /dev/null +++ b/examples/03-advanced/_tube_compression_bench.py @@ -0,0 +1,93 @@ +"""Headless benchmark driver: runs tube_compression with penalty and IPC, +then prints reduced metrics. Generated for PR #31 IPC-axisymmetric review. +Skips all plot/gif generation.""" + +import os +import time + +import fedoo as fd +import numpy as np + +os.chdir(os.path.dirname(os.path.abspath(__file__)) or ".") +if not os.path.isdir("results"): + os.mkdir("results") + +# ---- Material & mesh shared by both runs ---- +sigma_y, k_h, m_h = 300, 1000, 0.3 +E, nu = 200e3, 0.3 +props = np.array([E, nu, 1e-5, sigma_y, k_h, m_h]) +NLGEOM = "UL" + + +def _setup(): + fd.ModelingSpace("2Daxi") + mesh = fd.mesh.rectangle_mesh(5, 240, 23, 25, 0, 180) + material = fd.constitutivelaw.Simcoon("EPICP", props) + wf = fd.weakform.StressEquilibrium(material, nlgeom=NLGEOM) + solid = fd.Assembly.create(wf, mesh) + return mesh, solid + + +def run_penalty(): + mesh, solid = _setup() + surf = fd.mesh.extract_surface(mesh) + contact = fd.constraint.contact.SelfContact(surf) + contact.contact_search_once = True + contact.eps_n = 1e4 + contact.max_dist = 1.0 + + pb = fd.problem.NonLinear(solid + contact, nlgeom=NLGEOM) + pb.set_nr_criterion( + "Displacement", tol=1e-2, max_subiter=20, adaptive_stiffness=True + ) + res = pb.add_output( + "results/tube_compressoin", solid, ["Disp", "Stress", "Strain", "P"] + ) + pb.bc.add("Dirichlet", mesh.node_sets["bottom"], "Disp", 0) + pb.bc.add("Dirichlet", mesh.node_sets["top"], "Disp", [0, -150]) + pb.add_line_search() + t0 = time.time() + pb.nlsolve(dt=0.01, tmax=1, update_dt=True, print_info=1, dt_min=1e-8) + return res, time.time() - t0 + + +def run_ipc(): + mesh, solid = _setup() + contact = fd.constraint.IPCSelfContact( + mesh, dhat=1e-3, dhat_is_relative=True, use_ccd=True + ) + pb = fd.problem.NonLinear(fd.Assembly.sum(solid, contact), nlgeom=NLGEOM) + pb.set_nr_criterion( + "Displacement", tol=1e-2, max_subiter=20, adaptive_stiffness=True + ) + res = pb.add_output( + "results/tube_compression_ipc", solid, ["Disp", "Stress", "Strain", "P"] + ) + pb.bc.add("Dirichlet", mesh.node_sets["bottom"], "Disp", 0) + pb.bc.add("Dirichlet", mesh.node_sets["top"], "Disp", [0, -150]) + pb.add_line_search() + t0 = time.time() + pb.nlsolve(dt=0.01, tmax=1, update_dt=True, print_info=1, dt_min=1e-8) + return res, time.time() - t0 + + +def summarise(res, label, runtime): + res.load(-1) + s_yy = np.asarray(res.get_data("Stress", component="YY", data_type="Node")) + p = np.asarray(res.get_data("P", data_type="Node")) + d_y = np.asarray(res.get_data("Disp", component="Y", data_type="Node")) + print(f"--- {label} (runtime {runtime:.1f}s) ---") + print(f" peak |Stress YY| = {np.abs(s_yy).max():.4e}") + print(f" peak P (eq. plastic) = {p.max():.4e}") + print(f" min Disp Y = {d_y.min():.4e}") + print(f" max Disp Y = {d_y.max():.4e}") + + +if __name__ == "__main__": + print(">> running PENALTY (tube_compression reference) ...", flush=True) + res_p, dt_p = run_penalty() + print(">> running IPC (tube_compression_ipc) ...", flush=True) + res_i, dt_i = run_ipc() + print() + summarise(res_p, "Penalty", dt_p) + summarise(res_i, "IPC", dt_i) diff --git a/examples/03-advanced/tube_compression_ipc.py b/examples/03-advanced/tube_compression_ipc.py new file mode 100644 index 00000000..408aee5e --- /dev/null +++ b/examples/03-advanced/tube_compression_ipc.py @@ -0,0 +1,99 @@ +""" +Compression of a tube using 2D axisymmetric model — IPC self-contact +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +Same problem as ``tube_compression.py`` but with ``IPCSelfContact`` +instead of the penalty ``SelfContact``. Used to benchmark the +2π·r-weighted IPC formulation against the penalty reference. + +Run after ``tube_compression.py`` so both result folders exist; this +script prints reduced metrics from each run for side-by-side +comparison. +""" + +import os + +import fedoo as fd +import numpy as np + +os.chdir(os.path.dirname(os.path.abspath(__file__)) or ".") + +fd.ModelingSpace("2Daxi") +mesh = fd.mesh.rectangle_mesh(5, 240, 23, 25, 0, 180) + +sigma_y = 300 +k = 1000 +m = 0.3 +E = 200e3 +nu = 0.3 +props = np.array([E, nu, 1e-5, sigma_y, k, m]) +material = fd.constitutivelaw.Simcoon("EPICP", props) + +NLGEOM = "UL" +wf = fd.weakform.StressEquilibrium(material, nlgeom=NLGEOM) +solid_assembly = fd.Assembly.create(wf, mesh) + +# --- IPC self-contact (replaces penalty SelfContact) --- +contact = fd.constraint.IPCSelfContact( + mesh, + dhat=1e-3, + dhat_is_relative=True, + use_ccd=True, +) + +assembly = fd.Assembly.sum(solid_assembly, contact) + +pb = fd.problem.NonLinear(assembly, nlgeom=NLGEOM) +pb.set_nr_criterion( + "Displacement", + tol=1e-2, + max_subiter=20, + adaptive_stiffness=True, +) + +if not os.path.isdir("results"): + os.mkdir("results") +res_ipc = pb.add_output( + "results/tube_compression_ipc", + solid_assembly, + ["Disp", "Stress", "Strain", "P"], +) + +bottom = mesh.node_sets["bottom"] +top = mesh.node_sets["top"] + +pb.bc.add("Dirichlet", bottom, "Disp", 0) +pb.bc.add("Dirichlet", top, "Disp", [0, -150]) +pb.add_line_search() +pb.nlsolve(dt=0.01, tmax=1, update_dt=True, print_info=0, dt_min=1e-8) + +############################################################################### +# Reduced numeric metrics — peak axial stress, peak equivalent plastic strain, +# and final top displacement at the last saved iteration. + + +def _summarise(res, label): + res.load(-1) + stress_yy = np.asarray(res.get_data("Stress", component="YY", data_type="Node")) + p = np.asarray(res.get_data("P", data_type="Node")) + disp_y = np.asarray(res.get_data("Disp", component="Y", data_type="Node")) + print(f"--- {label} ---") + print(f" peak |Stress YY| = {np.abs(stress_yy).max():.4e}") + print(f" peak P (eq. plastic) = {p.max():.4e}") + print(f" min Disp Y = {disp_y.min():.4e}") + print(f" max Disp Y = {disp_y.max():.4e}") + + +print() +_summarise(res_ipc, "IPC (this run)") + +# Compare against the penalty reference if it has been run. +penalty_path = "results/tube_compressoin.fdz" # original spelling kept as in ref script +if os.path.isfile(penalty_path): + res_penalty = fd.DataSet.read(penalty_path) + _summarise(res_penalty, "Penalty (reference)") +else: + print( + f"\n(Penalty reference not found at '{penalty_path}'. Run " + "tube_compression.py first to populate it for comparison.)" + ) diff --git a/fedoo/constraint/ipc_contact.py b/fedoo/constraint/ipc_contact.py index 4d4bbc39..c4d6c8c1 100644 --- a/fedoo/constraint/ipc_contact.py +++ b/fedoo/constraint/ipc_contact.py @@ -77,6 +77,20 @@ class IPCContact(AssemblyBase): nodes must use ``use_ccd=True`` instead. An error is raised at initialization if ``use_ogc=True`` is used with a solid mesh. + **Axisymmetric (2Daxi)** — Under a ``"2Daxi"`` ModelingSpace the + barrier gradient and hessian returned by ipctk are scaled by the + circumferential integration weight ``2*pi*r`` per surface vertex + before being scattered into the global system. This is the IPC + analogue of fedoo's per-Gauss-point ``axi_volume_weight`` for weak + forms. The scaling is applied per vertex (using the reference + radius ``R₀``); it is exact when both endpoints of a contact pair + sit at similar radii, and slightly asymmetric otherwise. Vertices + on the symmetry axis (r = 0) get weight 0, which is geometrically + correct (a "ring" of zero radius collapses to a point). In 2Daxi + the planar (r, z) distance equals the true 3D minimum distance + between the corresponding circles (closest points share the + azimuth), so the barrier distance and PSD projection are unchanged. + Parameters ---------- mesh : fedoo.Mesh @@ -184,13 +198,6 @@ def __init__( if space is None: space = ModelingSpace.get_active() - if space.is_axisymmetric: - raise NotImplementedError( - "IPCContact does not support the '2Daxi' ModelingSpace: " - "the IPC barrier formulation lacks the 2*pi*r circumferential " - "weighting required for axisymmetric problems. " - "Use fedoo.constraint.Contact (penalty) instead." - ) AssemblyBase.__init__(self, name, space) self.mesh = mesh @@ -241,6 +248,10 @@ def __init__( self._ogc_trust_region = None self._ogc_vertices_at_start = None + # Axisymmetric (2Daxi) integration weights — built in initialize() + self._axi_weight = None # 1D array (n_surf*ndim,) interleaved 2*pi*r + self._axi_diag = None # sparse diag(_axi_weight) for hessian scaling + self.sv = {} self.sv_start = {} @@ -417,6 +428,12 @@ def _compute_ipc_contributions(self, vertices, compute="all"): global_vector = P @ ipctk_gradient global_matrix = P @ ipctk_hessian @ P.T + Under a 2Daxi ModelingSpace, the per-surface-DOF gradient/hessian + are first scaled by ``2*pi*r`` (per surface vertex, broadcast over + coordinates) so that the planar barrier energy is integrated + around the symmetry axis — the IPC analogue of fedoo's + ``axi_volume_weight`` for weak forms. + Sets self.global_matrix and self.global_vector. """ n_mesh_dof = self.space.nvar * self.mesh.n_nodes @@ -428,12 +445,16 @@ def _compute_ipc_contributions(self, vertices, compute="all"): ipctk = _import_ipctk() P = self._scatter_matrix + axi_w = self._axi_weight # None outside 2Daxi + axi_D = self._axi_diag # None outside 2Daxi # Barrier contributions if compute != "matrix": grad_surf = self._barrier_potential.gradient( self._collisions, self._collision_mesh, vertices ) + if axi_w is not None: + grad_surf = axi_w * grad_surf # ipctk gradient points toward increasing barrier (toward contact). # The repulsive force is -gradient. In fedoo, global_vector is # added to RHS: K*dX = B + D, so D = -kappa * gradient. @@ -456,6 +477,8 @@ def _compute_ipc_contributions(self, vertices, compute="all"): vertices, project_hessian_to_psd=ipctk.PSDProjectionMethod.NONE, ) + if axi_D is not None: + hess_surf = axi_D @ hess_surf @ axi_D self.global_matrix = self._kappa * (P @ hess_surf @ P.T) # Friction contributions @@ -470,6 +493,8 @@ def _compute_ipc_contributions(self, vertices, compute="all"): self._collision_mesh, vertices, ) + if axi_w is not None: + fric_grad_surf = axi_w * fric_grad_surf self.global_vector += -(P @ fric_grad_surf) if compute != "vector": @@ -479,6 +504,8 @@ def _compute_ipc_contributions(self, vertices, compute="all"): vertices, project_hessian_to_psd=ipctk.PSDProjectionMethod.CLAMP, ) + if axi_D is not None: + fric_hess_surf = axi_D @ fric_hess_surf @ axi_D self.global_matrix += P @ fric_hess_surf @ P.T # Pad with zeros to account for extra global DOFs (e.g. PeriodicBC) @@ -810,6 +837,15 @@ def initialize(self, pb): self._rest_positions.max(axis=0) - self._rest_positions.min(axis=0) ) + # Build axisymmetric (2π·r) integration weight on surface DOFs. + # Applied per surface vertex, broadcast over the ipctk interleaved + # layout [x0, y0, x1, y1, ...]. Reference radius R₀ is used, + # consistent with the rest of the 2Daxi pipeline. + if self.space.is_axisymmetric: + r_surf = self._rest_positions[:, 0] + self._axi_weight = np.repeat(2.0 * np.pi * r_surf, ndim) + self._axi_diag = sparse.diags(self._axi_weight) + # Compute actual dhat if self._dhat_is_relative: self._actual_dhat = self._dhat * self._bbox_diag diff --git a/fedoo/constraint/rigid_tie.py b/fedoo/constraint/rigid_tie.py index 8975ef20..9e42dd3d 100644 --- a/fedoo/constraint/rigid_tie.py +++ b/fedoo/constraint/rigid_tie.py @@ -1,5 +1,7 @@ """Rigid Tie constraint.""" +import warnings + import numpy as np from fedoo.core.boundary_conditions import BCBase, MPC, ListBC @@ -99,10 +101,14 @@ def __repr__(self): def initialize(self, problem): if problem.space.is_axisymmetric: - raise NotImplementedError( - "RigidTie does not support the '2Daxi' ModelingSpace: " - "a 3D rigid body has rotational degrees of freedom that " - "are not expressible in a 2D axisymmetric space." + warnings.warn( + "RigidTie under the '2Daxi' ModelingSpace: the constraint " + "is applied as pure-kinematics MPCs and will function, but " + "only rigid motions consistent with axisymmetry (axial " + "translation along the symmetry axis) preserve the " + "axisymmetric assumption. Radial translation and any " + "rotation around the in-plane axes break it.", + stacklevel=2, ) if self.center is None: # initialize the rotation center at center of rigid nodes bounding box @@ -347,9 +353,12 @@ def __repr__(self): def initialize(self, problem): if problem.space.is_axisymmetric: - raise NotImplementedError( - "RigidTie2D does not support the '2Daxi' ModelingSpace: " - "rigid-body rotations break axisymmetry." + warnings.warn( + "RigidTie2D under the '2Daxi' ModelingSpace: the constraint " + "is applied as pure-kinematics MPCs and will function, but " + "only axial (z) translation preserves axisymmetry. Radial " + "translation and the in-plane RigidRotZ rotation break it.", + stacklevel=2, ) if self.center is None: # initialize the rotation center at center of rigid nodes bounding box diff --git a/fedoo/core/mechanical3d.py b/fedoo/core/mechanical3d.py index 3e612be8..711be31e 100644 --- a/fedoo/core/mechanical3d.py +++ b/fedoo/core/mechanical3d.py @@ -14,16 +14,23 @@ class Mechanical3D(ConstitutiveLaw): Strains and stresses are stored as 6-vectors (Voigt-like) at every Gauss point. The slot interpretation depends on the active ``ModelingSpace``: - ========= =================== =================== =================== - slot 3D 2D plane / plane-σ 2Daxi - ========= =================== =================== =================== - 0 ε_xx ε_xx ε_rr - 1 ε_yy ε_yy ε_zz (z = Y axis) - 2 ε_zz 0 (unused) ε_θθ (= u_r / R) - 3 γ_xy γ_xy γ_rz - 4 γ_xz 0 0 (γ_rθ = 0 by sym.) - 5 γ_yz 0 0 (γ_θz = 0 by sym.) - ========= =================== =================== =================== + ========= =================== =========================== =================== + slot 3D 2Dplane (plane strain) 2Daxi + ========= =================== =========================== =================== + 0 ε_xx ε_xx ε_rr + 1 ε_yy ε_yy ε_zz (z = Y axis) + 2 ε_zz 0 (unused) ε_θθ (= u_r / R) + 3 γ_xy γ_xy γ_rz + 4 γ_xz 0 0 (γ_rθ = 0 by sym.) + 5 γ_yz 0 0 (γ_θz = 0 by sym.) + ========= =================== =========================== =================== + + For ``2Dstress`` (plane stress), the slot layout is the same as + ``2Dplane``, but the constitutive law internally computes a nonzero + out-of-plane strain ε_zz so that σ_zz = 0 — the symbolic strain + operator places 0 in slot 2, but post-processed strain output from + a constitutive law that relaxes σ_zz may have a nonzero ε_zz that + is not reflected in slot 2. Rationale for the 2Daxi mapping ------------------------------- diff --git a/fedoo/core/modelingspace.py b/fedoo/core/modelingspace.py index 01332e06..ab9a33d7 100644 --- a/fedoo/core/modelingspace.py +++ b/fedoo/core/modelingspace.py @@ -301,6 +301,12 @@ def op_strain(self, InitialGradDisp=None): ``get_weak_equation`` (see e.g. ``StressEquilibrium``) using ``assembly.sv["_R_gausspoints"]``. In 2D plane strain / plane stress slot 2 stays 0. + + Note for plane stress (``2Dstress``): the symbolic slot 2 is 0 + (kinematic zero), but the constitutive law may compute a + nonzero out-of-plane ε_zz when enforcing the plane-stress + condition σ_zz = 0. Post-processed strain output from such a + law is therefore not guaranteed to have slot 2 = 0. """ # InitialGradDisp = StrainOperator.__InitialGradDisp From 9c654ee47bc6013ba0adca1b88a621aeb5e97624 Mon Sep 17 00:00:00 2001 From: Yves Chemisky Date: Thu, 7 May 2026 09:58:07 +0200 Subject: [PATCH 4/4] Remove headless tube compression benchmark Delete examples/03-advanced/_tube_compression_bench.py, a headless benchmark driver that ran penalty and IPC variants and printed reduced metrics. Also remove the os.chdir call from examples/03-advanced/tube_compression_ipc.py to avoid changing the process working directory when running or importing the example. --- .../03-advanced/_tube_compression_bench.py | 93 ------------------- examples/03-advanced/tube_compression_ipc.py | 2 - 2 files changed, 95 deletions(-) delete mode 100644 examples/03-advanced/_tube_compression_bench.py diff --git a/examples/03-advanced/_tube_compression_bench.py b/examples/03-advanced/_tube_compression_bench.py deleted file mode 100644 index 990379e1..00000000 --- a/examples/03-advanced/_tube_compression_bench.py +++ /dev/null @@ -1,93 +0,0 @@ -"""Headless benchmark driver: runs tube_compression with penalty and IPC, -then prints reduced metrics. Generated for PR #31 IPC-axisymmetric review. -Skips all plot/gif generation.""" - -import os -import time - -import fedoo as fd -import numpy as np - -os.chdir(os.path.dirname(os.path.abspath(__file__)) or ".") -if not os.path.isdir("results"): - os.mkdir("results") - -# ---- Material & mesh shared by both runs ---- -sigma_y, k_h, m_h = 300, 1000, 0.3 -E, nu = 200e3, 0.3 -props = np.array([E, nu, 1e-5, sigma_y, k_h, m_h]) -NLGEOM = "UL" - - -def _setup(): - fd.ModelingSpace("2Daxi") - mesh = fd.mesh.rectangle_mesh(5, 240, 23, 25, 0, 180) - material = fd.constitutivelaw.Simcoon("EPICP", props) - wf = fd.weakform.StressEquilibrium(material, nlgeom=NLGEOM) - solid = fd.Assembly.create(wf, mesh) - return mesh, solid - - -def run_penalty(): - mesh, solid = _setup() - surf = fd.mesh.extract_surface(mesh) - contact = fd.constraint.contact.SelfContact(surf) - contact.contact_search_once = True - contact.eps_n = 1e4 - contact.max_dist = 1.0 - - pb = fd.problem.NonLinear(solid + contact, nlgeom=NLGEOM) - pb.set_nr_criterion( - "Displacement", tol=1e-2, max_subiter=20, adaptive_stiffness=True - ) - res = pb.add_output( - "results/tube_compressoin", solid, ["Disp", "Stress", "Strain", "P"] - ) - pb.bc.add("Dirichlet", mesh.node_sets["bottom"], "Disp", 0) - pb.bc.add("Dirichlet", mesh.node_sets["top"], "Disp", [0, -150]) - pb.add_line_search() - t0 = time.time() - pb.nlsolve(dt=0.01, tmax=1, update_dt=True, print_info=1, dt_min=1e-8) - return res, time.time() - t0 - - -def run_ipc(): - mesh, solid = _setup() - contact = fd.constraint.IPCSelfContact( - mesh, dhat=1e-3, dhat_is_relative=True, use_ccd=True - ) - pb = fd.problem.NonLinear(fd.Assembly.sum(solid, contact), nlgeom=NLGEOM) - pb.set_nr_criterion( - "Displacement", tol=1e-2, max_subiter=20, adaptive_stiffness=True - ) - res = pb.add_output( - "results/tube_compression_ipc", solid, ["Disp", "Stress", "Strain", "P"] - ) - pb.bc.add("Dirichlet", mesh.node_sets["bottom"], "Disp", 0) - pb.bc.add("Dirichlet", mesh.node_sets["top"], "Disp", [0, -150]) - pb.add_line_search() - t0 = time.time() - pb.nlsolve(dt=0.01, tmax=1, update_dt=True, print_info=1, dt_min=1e-8) - return res, time.time() - t0 - - -def summarise(res, label, runtime): - res.load(-1) - s_yy = np.asarray(res.get_data("Stress", component="YY", data_type="Node")) - p = np.asarray(res.get_data("P", data_type="Node")) - d_y = np.asarray(res.get_data("Disp", component="Y", data_type="Node")) - print(f"--- {label} (runtime {runtime:.1f}s) ---") - print(f" peak |Stress YY| = {np.abs(s_yy).max():.4e}") - print(f" peak P (eq. plastic) = {p.max():.4e}") - print(f" min Disp Y = {d_y.min():.4e}") - print(f" max Disp Y = {d_y.max():.4e}") - - -if __name__ == "__main__": - print(">> running PENALTY (tube_compression reference) ...", flush=True) - res_p, dt_p = run_penalty() - print(">> running IPC (tube_compression_ipc) ...", flush=True) - res_i, dt_i = run_ipc() - print() - summarise(res_p, "Penalty", dt_p) - summarise(res_i, "IPC", dt_i) diff --git a/examples/03-advanced/tube_compression_ipc.py b/examples/03-advanced/tube_compression_ipc.py index 408aee5e..1a2b3d0f 100644 --- a/examples/03-advanced/tube_compression_ipc.py +++ b/examples/03-advanced/tube_compression_ipc.py @@ -16,8 +16,6 @@ import fedoo as fd import numpy as np -os.chdir(os.path.dirname(os.path.abspath(__file__)) or ".") - fd.ModelingSpace("2Daxi") mesh = fd.mesh.rectangle_mesh(5, 240, 23, 25, 0, 180)