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ANYsolver finite-element solver

anysolver is a headless structural FE solver for beam, shell, stiffened-panel, and cylindrical-shell analysis. It is an engineering solver with an explicit qualification scope, not a general-purpose CAD, contact, or fracture platform.

Install the released package with:

python -m pip install ANYsolver

For coordinated local development across sibling repositories, install the checkouts first:

python -m pip install -e C:\Github\ANYmaterial
python -m pip install -e C:\Github\ANYmesh
python -m pip install -e C:\Github\ANYfileIO
python -m pip install -e C:\Github\ANYsolver

Release order for the 0.3 line

ANYsolver 0.3 depends on compatible extracted packages. Publish them to the same target index in this order:

  1. ANYmaterial and ANYmesher (either order).
  2. ANYfileio, which depends on both.
  3. ANYsolver 0.3.x, which depends on all three.

Apply that order separately to TestPyPI and PyPI. The compatible sibling releases are available on PyPI. The publish workflow checks the selected target index and refuses to build or upload ANYsolver unless ANYmaterial>=0.1,<0.2, ANYmesher>=0.1,<0.3, and ANYfileio>=0.1,<0.3 can already be resolved there. CI also uses pinned sibling source checkouts to exercise the exact compatibility graph.

ANYsolver uses the neutral mesh, panel-generation, quality, and section APIs available in ANYmesher 0.1 and retains compatibility with the additive 0.2 line. The strict <0.3 cap prevents an unqualified major contract change. The endpoint compatibility job exercises pinned 0.1.0 and 0.2.1 installed wheels on Windows AMD64 CPython 3.13; that focused job is not a wider platform or interpreter qualification claim.

Core analyses and the solver-owned generated-geometry workflow are available directly from anysolver; the lightweight normalized flat-panel and cylinder facade is exposed through anysolver.runtime:

from anysolver import (
    FEModel,
    GeneratedGeometryFEMConfig,
    LoadCase,
    run_generated_geometry_fem,
    solve_linear,
)
from anysolver.runtime import (
    LightweightFEMConfig,
    resolve_runtime_analysis,
    run_production_fem,
)

The runtime facade applies its normalized axial force, bending moment, shear force, torsional moment, and pressure inputs to the generated model. Set LightweightFEMConfig.follower_pressure=True only for nonlinear static or arc-length analysis using the static only or nonlinear static runtime path; incompatible linear, stepwise eigenvalue-buckling, transient, collision, and structured-capacity paths return an explicit invalid_follower_pressure status. Arc length retains the requested von Karman or corotational kinematics. Production runtime failures remain failures rather than being replaced by an estimator.

Application integrations should use resolve_runtime_analysis(config) to reflect the solver's effective nonlinear/material/control/kinematics choices; the normalization helpers with leading underscores are implementation details.

The generic GeneratedGeometryFEM* names are the preferred workflow API. Historical AnyStructureFEM* aliases remain available only for downstream compatibility. Material selection is owned by ANYmaterial; the root-level dnv_c208_steel_properties() and dnv_c208_steel_curve() names are temporary compatibility imports over its canonical table and validation.

The source code and tests are authoritative. Generated reports under reports/ are dated evidence snapshots and must be regenerated after solver changes before making release claims.

Functional overview

Area Implemented functionality
Model Six DOFs per node; SI units; materials, density, nodal mass, shell/beam topology, supports, and MPC constraints. audit_constraints() reports equation provenance, feasibility, structural rank, dependency depth, and independent DOFs before assembly.
Materials Constitutive objects, elastic reductions, Hill-48 yield data, and DNV curves come from ANYmaterial; ANYsolver owns their use in element integration and nonlinear solution. Orthotropic shells support material direction/angle and Hill-48 plasticity; orthotropic beams use local material axes and an explicit section torsional rigidity.
Shells 3- and 6-node triangles; 4-node MITC-style and 8-node Mindlin-Reissner quadrilaterals; isotropic, rotated orthotropic, or pre-integrated generalized A/B/D/As section stiffness. Generalized sections retain membrane-bending coupling and recover exact strains/resultants without inventing ply stresses.
Beams 2-node and straight-sided 3-node Timoshenko beams with axial, biaxial bending, direction-dependent shear, torsion, consistent/lumped mass options, geometric stiffness, optional fiber-section plasticity, or a fully coupled local 6x6 generalized section law.
Coupling Coincident or eccentric beam-shell kinematics through explicit interpolated MPC transformations.
Loads Nodal force/moment, dead or current-area follower shell pressure, in-plane edge loads, acceleration/gravity, prescribed displacement, load combinations, proportional and staged nonlinear loads. Follower pressure includes its exact, generally nonsymmetric external-load tangent.
Linear analysis Static single- and multiple-RHS solves, reactions and MPC-force diagnostics, free-free rigid-body nullspace handling, sparse factorization reuse, and post-solve affine-constraint residual checks.
Modal and mass Consistent mass assembly, point masses, model mass/inertia properties, constrained and free-free vibration modes.
Buckling Linear eigenvalue buckling for beam axial force and shell Mindlin initial-stress resultants, including sparse shift-invert and repeated-mode diagnostics. A follower-load stiffness can be included when its constrained tangent is symmetric; a general nonsymmetric follower eigenproblem is outside scope.
Nonlinear static Incremental Newton solution, adaptive stepping, force or displacement control, dead or follower pressure, von Karman or opt-in corotational kinematics, rotated or consistent corotational tangent, layered shell J2 or orthotropic Hill-48 plasticity with safeguarded local solves and consistent tangents, beam fiber plasticity, stage-boundary commits, true preload/restart displacement control, and simplified element erosion.
Continuation Bounded Crisfield-style spherical arc-length tracing through a first limit point and a guarded descending branch, including current-area follower pressure and its load tangent.
Dynamics Newmark or HHT-alpha implicit transient response, Rayleigh damping, prescribed shell pressure patches, selected/envelope history storage, and memory preflight.
Impact/contact One rigid sphere with frictionless penalty contact against shells and opt-in beam-axis segments; event substepping, Aitken relaxation, nonlinear material response, and engineering damage/erosion options.
Imperfections Stress-free eigenmode, member-bow, plate-wave, flange-twist, explicit, and composite imperfection fields.
Initial fields Element-local shell membrane/bending stress or membrane/curvature prestrain, arbitrary configured beam-fiber stress/prestrain distributions, zero-external-load equilibration, admissibility checks, and provenance kept separate from geometric imperfections.
Workflows Normalized generated geometry to static/prestress/buckling; traceable static-to-buckling-to-imperfect nonlinear-capacity workflow.
Interchange ANYfileio owns SESAM/CalculiX parsing, validation, neutral semantics, and guarded writing. ANYsolver retains only neutral-record-to-FEModel adapters and the legacy compatibility imports introduced for the 0.2 line.
Results Result provenance; unified elastic or committed shell-layer/beam-fiber stress recovery; Gauss-point membrane-force and bending-moment resultants for generated-geometry prestress; guarded Zienkiewicz-Zhu-style patch recovery for qualified shell neighborhoods; selected recovery; reaction filtering; validation diagnostics; deterministic baselines; benchmarks; and generated qualification reports.
External verification Reproducible CalculiX model flattening, opt-in isolated execution, solver provenance, and tolerance-controlled analytical comparison, using ANYfileio for deck writing and FRD/DAT parsing. Deck-only reports remain explicitly not_executed and make no numerical-agreement claim.

StructuralMaterial is a runtime-checkable, ANYmaterial-owned protocol containing name, density, elastic_symmetry, and elastic_compliance_matrix() in engineering Voigt order [11, 22, 33, 23, 13, 12]. FEModel.register_material() accepts compatible external objects through that contract; FEModel.add_orthotropic_material() constructs the canonical OrthotropicMaterial.

ANYmesher owns neutral mesh topology, numbering, quality and coupling records; this package converts them into solver elements and exact constraints. ANYfileio owns SESAM and CalculiX syntax; this package converts neutral records to FEModel objects and retains execution and validation evidence.

Every production solver uses the same fixed/MPC preflight. Invalid or cyclic systems fail before assembly or factorization. Linear, modal, buckling, nonlinear, arc-length, transient, and impact results include a normalized constraint residual diagnostic. Modal and buckling modes correctly verify the homogeneous variation equations when the base model has prescribed offsets.

ResourceConfig(solver_threads=N, assembly_threads=M) now applies scoped native and Numba limits. Native pools are restored even after exceptions, and parallel Numba assembly suppresses nested BLAS/OpenMP pools to one thread. Diagnostics record requested limits, active runtime pools, the selected sparse backend, and any limiter/backend fallback. Omitting the resource policy retains the backend's existing unrestricted default.

GeneralizedShellSectionProtocol and GeneralizedBeamSectionContract are likewise solver-owned structural interfaces. The built-in GeneralizedShellSection(A, B, D, As, ...) accepts pre-integrated laminate or homogenized shell stiffness, while GeneralizedBeamSection(stiffness, ...) accepts a coupled 6x6 sectional law. They may be attached directly to elements or supplied inline/by name through generated geometry. Optional section mass data override the legacy homogeneous mass construction; otherwise the attached material, thickness, and legacy section geometry continue to define mass.

For shells, material_direction is projected into the shell plane and then material_angle_deg is applied right-handed about the positive shell normal; without a direction, the angle starts at shell-local x. For beams, material axes 1/2/3 are beam-local x/y/z. Orthotropic beam sections must provide a positive cross_section["torsional_rigidity"] in N*m^2; isotropic beams retain G*J.

Implemented does not automatically mean qualified for every geometry or load regime. The live capability matrix is produced by write_production_readiness_artifacts() and the verification manifest.

Production scope

The qualified target is thin flat or cylindrical shell structure, with beam stiffeners/girders represented through the documented coupling, inside the verified mesh, material, distortion, eccentricity, and load ranges.

Important limits:

  • no arbitrary CAD topology or automatic general-purpose meshing;
  • no arbitrary 3-D anisotropic material law, ply-stack integration, ply stress recovery, tension/compression-asymmetric composite failure, or progressive composite damage. Pre-integrated linear shell A/B/D/As and beam 6x6 section laws are supported, including their elastic couplings;
  • Q8R is experimental: its hourglass stabilization is not qualified for thin bending and it is deliberately excluded from nonlinear batch acceleration;
  • the 3-node quadratic beam is straight-sided; curved members must be represented by straight beam segments until a true curved formulation is implemented;
  • the shell initial-stress operator covers the in-plane N, M, and H stress moments acting on Mindlin midsurface translations and director gradients; it does not add drilling, transverse-normal-stress, or a geometrically exact finite-rotation shell/director formulation;
  • current-area follower pressure is supported in nonlinear static and arc-length analyses, with its exact load tangent. Linear/dead pressure remains the default. Linear buckling rejects a constrained nonsymmetric follower-pressure pencil because general complex nonconservative eigenanalysis is not implemented;
  • no general shell-shell, body-body, frictional, rolling, or self-contact;
  • no fluid-structure interaction, cavitation, or water-entry model;
  • no cohesive cracks, remeshing, material separation, or fracture-mechanics claim—the erosion models are engineering screens;
  • no unrestricted deep post-buckling or automatic bifurcation branch switching;
  • the consistent corotational tangent includes frame derivatives and is selected automatically for follower pressure, but its numerical frame-sensitivity evaluation is costlier than the rotated tangent used by default for ordinary corotational solves;
  • material-history-aware recovery requires retained, matching committed nonlinear layer/fiber states; missing or invalid state is reported and the affected components fall back explicitly to elastic reconstruction;
  • for legacy isotropic plastic histories, von_mises retains the established return-mapped shell in-plane or beam-fiber scope. Orthotropic results keep von_mises as the conventional invariant of the physical stress, including matching elastic transverse shear/torsion reconstruction, while equivalent_stress and hill_utilization remain explicitly scoped to the Hill-return-mapped components. mixed_reconstruction_von_mises and recovery provenance identify that mixed constitutive scope;
  • the guarded patch-recovery fit is qualified only for locally planar, consistently oriented, homogeneous, full-integration Q4 or Q8 shell neighborhoods. Discontinuities remain separate, and the optional normalized stress-L2 discrepancy is a diagnostic—not an energy-norm error estimate;
  • initial stress/prestrain fields are qualified only in element-local reference coordinates with kinematics="von_karman". Shell fields use the documented membrane/positive-face-bending convention, and beam fields require a configured fiber section. Input stress must be admissible for the supplied hardening state; equilibration may redistribute it and does not reconstruct the manufacturing history. A field-bearing restart also requires its matching converged displacement vector;
  • the analytical plane-stress tangent is branch-consistent. The numerical derivative remains an oracle and automatic invalid-row fallback; local yield-residual nonconvergence fails closed;
  • no unverified material laws or distortion ranges;
  • orthotropic and generalized-section shells use the general element/nonlinear paths and report deterministic fallback diagnostics; generalized beams use the general element path, while the existing accelerated shell kernels remain isotropic homogeneous-section only;
  • generalized-section recovery is resultants-only. CalculiX export rejects these sections because the current deck mapping cannot preserve their coupling; use analytical or a dedicated section-capable reference model;
  • SESAM FEModel export remains outside the supported interchange gate;
  • CalculiX comparison requires a compatible local executable and an explicit execution request. Deck generation alone is a reproducibility handoff, not external numerical evidence.

Use validate_production_model(), the analysis-specific preflight checks, and the generated production-scope artifacts before production use.

Documentation map

Basic verification

From the repository root:

python -m pytest tests -q -p no:cacheprovider
python run_qc.py --no-save
python scripts/run_fe_verification.py

The last command regenerates the canonical JSON and Markdown evidence under reports/verification/. Its default external-reference mode generates handoff decks with status not_executed; that status is not a pass or a claim of numerical agreement. To execute the comparisons, provide a compatible CalculiX executable on PATH, through ANYSOLVER_CALCULIX_EXECUTABLE, or with --calculix, and run:

python scripts/run_fe_verification.py --execute-calculix

An external case becomes passing evidence only after isolated execution, successful FRD/DAT parsing, and every declared comparison meeting its tolerance.

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