Index

A

a (Hosford attribute) AbstractBehavior (class in jaxmat.materials.behavior) AbstractKinematicHardening (class in jaxmat.materials.viscoplastic_flows) AbstractLinearElastic (class in jaxmat.materials.elasticity) AbstractPlasticSurface (class in jaxmat.materials.plastic_surfaces) AbstractState (class in jaxmat.state) add() (AbstractState method) adjoint (AbstractBehavior attribute) AFInternalState (class in jaxmat.materials.viscoplasticity) alpha (CompressibleOgden attribute) (DruckerPrager attribute) (GeneralHardeningInternalState attribute)

AmrstrongFrederickViscoplasticity (class in jaxmat.materials.viscoplasticity) ArmstrongFrederickHardening (class in jaxmat.materials.viscoplastic_flows) array (Tensor property) array_shape (SymmetricTensor2 property) (SymmetricTensor4 property) (Tensor property) atol (BFGSLinearTrustRegion attribute) axl() (in module jaxmat.tensors.tensor_utils)

B

b (VoceHardening attribute) basis (IsotropicTensor4 property) batched_constitutive_update() (AbstractBehavior method)

be_bar (InternalState attribute) beta (VolumetricPart attribute) BFGSLinearTrustRegion (class in jaxmat.solvers.custom_optimistix_solvers)

C

C (AbstractLinearElastic property) (ArmstrongFrederickHardening attribute) (LinearElasticIsotropic property) c1 (CompressibleGhentMooneyRivlin attribute) (CompressibleMooneyRivlin attribute) c2 (CompressibleGhentMooneyRivlin attribute) (CompressibleMooneyRivlin attribute) Cauchy (FiniteStrainState property) Cauchy() (HyperelasticPotential method) coeffs (IsotropicTensor4 property) combined_hardening (GeneralHardening attribute) CompressibleGhentMooneyRivlin (class in jaxmat.materials.hyperelasticity) CompressibleMooneyRivlin (class in jaxmat.materials.hyperelasticity) CompressibleNeoHookean (class in jaxmat.materials.hyperelasticity)

CompressibleOgden (class in jaxmat.materials.hyperelasticity) constitutive_update() (AbstractBehavior method) (AmrstrongFrederickViscoplasticity method) (ElasticBehavior method) (FeFpJ2Plasticity method) (FiniteStrainBehavior method) (GeneralHardening method) (GeneralIsotropicHardening method) (GeneralizedMaxwell method) (GeneralizedStandardMaterial method) (GenericViscoplasticity method) (Hyperelasticity method) (SmallStrainBehavior method) (StandardLinearSolid method) (vonMisesIsotropicHardening method)

D

descent (BFGSLinearTrustRegion attribute) det33() (in module jaxmat.tensors.linear_algebra) dev() (in module jaxmat.tensors.linear_algebra) (in module jaxmat.tensors.tensor_utils) dev_vect() (in module jaxmat.tensors.tensor_utils)

dim (SymmetricTensor4 attribute) (Tensor attribute) (Tensor2 attribute) dim() (in module jaxmat.tensors.linear_algebra) dissipation_potential (GeneralizedStandardMaterial attribute) DruckerPrager (class in jaxmat.materials.plastic_surfaces)

E

E (LinearElasticIsotropic attribute) eig33() (in module jaxmat.tensors.linear_algebra) eigenvalues (Tensor2 property) eigenvalues_jvp() (in module jaxmat.tensors.tensor_utils) ElasticBehavior (class in jaxmat.materials.elasticity) elasticity (AmrstrongFrederickViscoplasticity attribute) (ElasticBehavior attribute) (FeFpJ2Plasticity attribute) (GeneralHardening attribute) (GeneralIsotropicHardening attribute) (GeneralizedMaxwell attribute) (GenericViscoplasticity attribute) (StandardLinearSolid attribute) (vonMisesIsotropicHardening attribute)

eps (SmallStrainState property) eps_vals (ImposedLoading attribute) epsp (AFInternalState attribute) (GeneralHardeningInternalState attribute) (GenericInternalState attribute) (InternalState attribute) epsv (GeneralizedMaxwellState attribute) (SLSState attribute) eval() (IsotropicTensor4 method) expm() (in module jaxmat.tensors.linear_algebra)

F

F (FiniteStrainState property) FeFpJ2Plasticity (class in jaxmat.materials.fe_fp_elastoplasticity) FiniteStrainBehavior (class in jaxmat.materials.behavior)

FiniteStrainState (class in jaxmat.state) FischerBurmeister() (in module jaxmat.tensors.utils) free_energy (GeneralizedStandardMaterial attribute)

G

gamma (ArmstrongFrederickHardening attribute) GaussNewtonTrustRegion (class in jaxmat.solvers.custom_optimistix_solvers) GeneralHardening (class in jaxmat.materials.elastoplasticity) GeneralHardeningInternalState (class in jaxmat.materials.elastoplasticity) GeneralIsotropicHardening (class in jaxmat.materials.elastoplasticity) GeneralizedMaxwell (class in jaxmat.materials.viscoelasticity)

GeneralizedMaxwellState (class in jaxmat.materials.viscoelasticity) GeneralizedStandardMaterial (class in jaxmat.materials.generalized_standard) GenericInternalState (class in jaxmat.materials.viscoplasticity) GenericViscoplasticity (class in jaxmat.materials.viscoplasticity) get_path() (in module jaxmat) global_solve() (in module jaxmat.loader)

H

H (LinearKinematicHardening attribute) Hosford (class in jaxmat.materials.plastic_surfaces)

Hyperelasticity (class in jaxmat.materials.hyperelasticity) HyperelasticPotential (class in jaxmat.materials.hyperelasticity)

I

identity() (SymmetricTensor4 class method) (Tensor2 class method) ImposedLoading (class in jaxmat.loader) incremental_potential() (GeneralizedStandardMaterial method) init_state() (FiniteStrainBehavior method) (SmallStrainBehavior method) internal (AbstractBehavior attribute) (AmrstrongFrederickViscoplasticity attribute) (ElasticBehavior attribute) (FeFpJ2Plasticity attribute) (FiniteStrainState attribute), [1] (GeneralHardening attribute) (GeneralIsotropicHardening attribute) (GeneralizedMaxwell attribute) (GeneralizedStandardMaterial attribute) (GenericViscoplasticity attribute) (Hyperelasticity attribute) (SmallStrainState attribute), [1] (StandardLinearSolid attribute) (vonMisesIsotropicHardening attribute)

InternalState (class in jaxmat.materials.elastoplasticity) (class in jaxmat.materials.fe_fp_elastoplasticity) inv (IsotropicTensor4 property) (SymmetricTensor4 property) (Tensor2 property) inv33() (in module jaxmat.tensors.linear_algebra) inv_sqrtm() (in module jaxmat.tensors.linear_algebra) is_symmetric() (SymmetricTensor2 method) (SymmetricTensor4 method) isotropic_function() (in module jaxmat.tensors.linear_algebra) IsotropicTensor4 (class in jaxmat.tensors.generic_tensors)

J

J() (SymmetricTensor4 class method) jaxmat module jaxmat.loader module jaxmat.materials module jaxmat.materials.behavior module jaxmat.materials.elasticity module jaxmat.materials.elastoplasticity module jaxmat.materials.fe_fp_elastoplasticity module jaxmat.materials.generalized_standard module jaxmat.materials.hyperelasticity module jaxmat.materials.plastic_surfaces module jaxmat.materials.viscoelasticity module

jaxmat.materials.viscoplastic_flows module jaxmat.materials.viscoplasticity module jaxmat.solvers module jaxmat.solvers.custom_newton module jaxmat.solvers.custom_optimistix_solvers module jaxmat.state module jaxmat.tensors module jaxmat.tensors.generic_tensors module jaxmat.tensors.linear_algebra module jaxmat.tensors.tensor_utils module jaxmat.tensors.utils module Jm (CompressibleGhentMooneyRivlin attribute)

K

K (NortonFlow attribute) K() (SymmetricTensor4 class method) kappa (CompressibleGhentMooneyRivlin attribute) (CompressibleMooneyRivlin attribute) (CompressibleNeoHookean attribute) (CompressibleOgden attribute) (IsotropicTensor4 attribute) (LinearElasticIsotropic property)

kinematic_hardening (AmrstrongFrederickViscoplasticity attribute) (GenericViscoplasticity attribute)

L

LinearElasticIsotropic (class in jaxmat.materials.elasticity) LinearKinematicHardening (class in jaxmat.materials.viscoplastic_flows)

lmbda (LinearElasticIsotropic property) logm() (in module jaxmat.tensors.linear_algebra)

M

m (NortonFlow attribute) main_invariants() (in module jaxmat.tensors.linear_algebra) make_batched() (in module jaxmat.state) maxwell_stiffness (StandardLinearSolid attribute) maxwell_viscosity (StandardLinearSolid attribute) minimisation_solver (GeneralizedStandardMaterial attribute) module jaxmat jaxmat.loader jaxmat.materials jaxmat.materials.behavior jaxmat.materials.elasticity jaxmat.materials.elastoplasticity jaxmat.materials.fe_fp_elastoplasticity jaxmat.materials.generalized_standard jaxmat.materials.hyperelasticity jaxmat.materials.plastic_surfaces jaxmat.materials.viscoelasticity jaxmat.materials.viscoplastic_flows jaxmat.materials.viscoplasticity jaxmat.solvers jaxmat.solvers.custom_newton jaxmat.solvers.custom_optimistix_solvers jaxmat.state jaxmat.tensors jaxmat.tensors.generic_tensors jaxmat.tensors.linear_algebra jaxmat.tensors.tensor_utils jaxmat.tensors.utils

mu (CompressibleNeoHookean attribute) (CompressibleOgden attribute) (IsotropicTensor4 attribute) (LinearElasticIsotropic property)

N

Nbranch (GeneralizedMaxwellState attribute) newton_solve_jittable() (in module jaxmat.solvers.custom_newton) NewtonTrustRegion (class in jaxmat.solvers.custom_optimistix_solvers) norm() (BFGSLinearTrustRegion method) normal() (AbstractPlasticSurface method) NortonFlow (class in jaxmat.materials.viscoplastic_flows)

nu (LinearElasticIsotropic attribute) nvar (GeneralHardening attribute) (GeneralHardeningInternalState attribute) nvars (AbstractKinematicHardening attribute) (ArmstrongFrederickHardening attribute) (LinearKinematicHardening attribute) nX (GenericInternalState attribute)

P

p (AFInternalState attribute) (GeneralHardeningInternalState attribute) (GenericInternalState attribute) (InternalState attribute), [1] PK1 (FiniteStrainState property) PK1() (HyperelasticPotential method) PK1_to_Cauchy() (in module jaxmat.state) PK1_to_PK2() (in module jaxmat.state) PK2 (FiniteStrainState property) PK2() (HyperelasticPotential method)

plastic_surface (AmrstrongFrederickViscoplasticity attribute) (FeFpJ2Plasticity attribute) (GeneralHardening attribute) (GeneralIsotropicHardening attribute) (GenericViscoplasticity attribute) (vonMisesIsotropicHardening attribute) polar() (in module jaxmat.tensors.tensor_utils) potential (Hyperelasticity attribute) powm() (in module jaxmat.tensors.linear_algebra) pq_invariants() (in module jaxmat.tensors.linear_algebra) principal_invariants() (in module jaxmat.tensors.linear_algebra)

R

rank (SymmetricTensor4 attribute) (Tensor attribute) (Tensor2 attribute)

relaxation_times (GeneralizedMaxwell attribute) residual() (in module jaxmat.loader) rtol (BFGSLinearTrustRegion attribute)

S

S (AbstractLinearElastic property) safe_fun() (in module jaxmat.tensors.utils) safe_norm() (in module jaxmat.tensors.utils) safe_sqrt() (in module jaxmat.tensors.utils) safe_zero() (in module jaxmat.materials.plastic_surfaces) search (BFGSLinearTrustRegion attribute) shape (Tensor property) sig (FiniteStrainState property) (SmallStrainState property) sig0 (VoceHardening attribute) sig_eff() (AbstractKinematicHardening method) (ArmstrongFrederickHardening method) (LinearKinematicHardening method) sig_vals (ImposedLoading attribute) sigu (VoceHardening attribute) sigv (GeneralizedMaxwellState attribute) skew() (in module jaxmat.tensors.tensor_utils) SLSState (class in jaxmat.materials.viscoelasticity) SmallStrainBehavior (class in jaxmat.materials.behavior)

SmallStrainState (class in jaxmat.state) solve_mechanical_state() (in module jaxmat.loader) solver (AbstractBehavior attribute) (FeFpJ2Plasticity attribute) sqrtm() (in module jaxmat.tensors.linear_algebra) SquaredVolumetric (class in jaxmat.materials.hyperelasticity) stack_loadings() (in module jaxmat.loader) StandardLinearSolid (class in jaxmat.materials.viscoelasticity) strain (FiniteStrainState attribute), [1] (SmallStrainState attribute), [1] strain_energy() (AbstractLinearElastic method) strain_mask (ImposedLoading attribute) stress (FiniteStrainState attribute), [1] (SmallStrainState attribute), [1] stretch_tensor() (in module jaxmat.tensors.tensor_utils) sym (Tensor2 property) sym() (in module jaxmat.tensors.tensor_utils) symmetric_kelvin_mandel_index_map() (in module jaxmat.tensors.generic_tensors) SymmetricTensor2 (class in jaxmat.tensors.generic_tensors) SymmetricTensor4 (class in jaxmat.tensors.generic_tensors)

T

T (Tensor property) (Tensor2 property) Tensor (class in jaxmat.tensors.generic_tensors) tensor (Tensor property)

Tensor2 (class in jaxmat.tensors.generic_tensors) tr() (in module jaxmat.tensors.linear_algebra) (in module jaxmat.tensors.tensor_utils) Tresca (class in jaxmat.materials.plastic_surfaces)

U

update() (AbstractState method)

use_inverse (BFGSLinearTrustRegion attribute)

V

verbose (BFGSLinearTrustRegion attribute) viscous_branches (GeneralizedMaxwell attribute) viscous_flow (AmrstrongFrederickViscoplasticity attribute) (GenericViscoplasticity attribute) VoceHardening (class in jaxmat.materials.viscoplastic_flows) volumetric (CompressibleGhentMooneyRivlin attribute) (CompressibleMooneyRivlin attribute) (CompressibleNeoHookean attribute) (CompressibleOgden attribute)

VolumetricPart (class in jaxmat.materials.hyperelasticity) vonMises (class in jaxmat.materials.plastic_surfaces) vonMisesIsotropicHardening (class in jaxmat.materials.elastoplasticity)

W

W_lamb() (CompressibleOgden method)

X

X (AFInternalState attribute) (GenericInternalState attribute)

Y

yield_stress (AmrstrongFrederickViscoplasticity attribute) (FeFpJ2Plasticity attribute) (GeneralHardening attribute) (GeneralIsotropicHardening attribute) (GenericViscoplasticity attribute) (vonMisesIsotropicHardening attribute)