optimism.material package

Subpackages

• optimism.material.test package
  • Submodules
  • optimism.material.test.plotJ2Plastic module
  • optimism.material.test.test_Gent module
    • TestGentMaterial
      • TestGentMaterial._classSetupFailed
      • TestGentMaterial._class_cleanups
      • TestGentMaterial.setUp()
      • TestGentMaterial.test_correspondence_with_linear_elasticity()
      • TestGentMaterial.test_finite_extensibility()
      • TestGentMaterial.test_frame_indifference()
      • TestGentMaterial.test_zero_point()
  • optimism.material.test.test_Hardening module
    • PowerLawHardeningTestFixture
      • PowerLawHardeningTestFixture._classSetupFailed
      • PowerLawHardeningTestFixture._class_cleanups
      • PowerLawHardeningTestFixture.setUp()
      • PowerLawHardeningTestFixture.test_power_law_hardening_slope_is_finite_at_origin()
      • PowerLawHardeningTestFixture.test_power_law_hardening_yield_strength()
      • PowerLawHardeningTestFixture.test_power_law_hardening_zero_point()
      • PowerLawHardeningTestFixture.test_power_law_strength_increases()
    • VoceHardeningTestFixture
      • VoceHardeningTestFixture._classSetupFailed
      • VoceHardeningTestFixture._class_cleanups
      • VoceHardeningTestFixture.setUp()
      • VoceHardeningTestFixture.test_voce_hardening_saturates_to_correct_value()
      • VoceHardeningTestFixture.test_voce_hardening_yield_strength()
      • VoceHardeningTestFixture.test_voce_hardening_zero_point()
  • optimism.material.test.test_HyperVisco module
    • HyperViscoModelFixture
      • HyperViscoModelFixture._classSetupFailed
      • HyperViscoModelFixture._class_cleanups
      • HyperViscoModelFixture.setUp()
    • HyperViscoUniaxialStrain
      • HyperViscoUniaxialStrain._classSetupFailed
      • HyperViscoUniaxialStrain._class_cleanups
      • HyperViscoUniaxialStrain.test_loading_only()
  • optimism.material.test.test_J2Plastic module
    • GradOfPlasticityModelFixture
      • GradOfPlasticityModelFixture._classSetupFailed
      • GradOfPlasticityModelFixture._class_cleanups
      • GradOfPlasticityModelFixture.setUp()
      • GradOfPlasticityModelFixture.test_elastic_energy()
      • GradOfPlasticityModelFixture.test_elastic_strain_path()
      • GradOfPlasticityModelFixture.test_plastic_strain_path()
      • GradOfPlasticityModelFixture.test_zero_point()
    • J2PlasticUniaxial
      • J2PlasticUniaxial._classSetupFailed
      • J2PlasticUniaxial._class_cleanups
      • J2PlasticUniaxial.setUp()
      • J2PlasticUniaxial.test_uniaxial()
    • J2UpdateFixture
      • J2UpdateFixture._classSetupFailed
      • J2UpdateFixture._class_cleanups
      • J2UpdateFixture.setUp()
      • J2UpdateFixture.test_update_only_happens_once()
    • PlasticityOnMesh
      • PlasticityOnMesh._classSetupFailed
      • PlasticityOnMesh._class_cleanups
      • PlasticityOnMesh.test_plasticity_with_mesh()
    • make_disp_grad_from_strain()
  • optimism.material.test.test_LinearElastic module
    • TestLinearElasticMaterial
      • TestLinearElasticMaterial._classSetupFailed
      • TestLinearElasticMaterial._class_cleanups
      • TestLinearElasticMaterial.setUp()
      • TestLinearElasticMaterial.test_finite_deformation_frame_indifference()
      • TestLinearElasticMaterial.test_internal_state_update()
      • TestLinearElasticMaterial.test_zero_point()
  • optimism.material.test.test_MaterialUniaxialSimulator module
    • MaterialUniaxialSimulatorFixture
      • MaterialUniaxialSimulatorFixture._classSetupFailed
      • MaterialUniaxialSimulatorFixture._class_cleanups
      • MaterialUniaxialSimulatorFixture.test_uniaxial_state_achieved()
  • optimism.material.test.test_RateSensitivity module
    • RateSensitivityFixture
      • RateSensitivityFixture._classSetupFailed
      • RateSensitivityFixture._class_cleanups
      • RateSensitivityFixture.test_power_law_scales_correctly()
      • RateSensitivityFixture.test_property_parsing()
    • RateSentivityInsideJ2
      • RateSentivityInsideJ2._classSetupFailed
      • RateSentivityInsideJ2._class_cleanups
      • RateSentivityInsideJ2.test_kinetic_potential_works_inside_J2()
  • Module contents

Submodules

optimism.material.Gent module

optimism.material.Gent._gent_3D_energy_density(dispGrad, props)

optimism.material.Gent._make_properties(K, mu, Jm)

optimism.material.Gent.create_material_functions(properties)

optimism.material.Gent.make_initial_state()

optimism.material.Hardening module

class optimism.material.Hardening.HardeningModel(compute_hardening_energy_density, compute_flow_stress)

Bases: tuple

_asdict()

Return a new dict which maps field names to their values.

_field_defaults = {}

_fields = ('compute_hardening_energy_density', 'compute_flow_stress')

classmethod _make(iterable)

Make a new HardeningModel object from a sequence or iterable

_replace(**kwds)

Return a new HardeningModel object replacing specified fields with new values

compute_flow_stress

Alias for field number 1

compute_hardening_energy_density

Alias for field number 0

class optimism.material.Hardening.RateSensitivityModel(compute_potential, compute_overstress)

Bases: tuple

_asdict()

Return a new dict which maps field names to their values.

_field_defaults = {}

_fields = ('compute_potential', 'compute_overstress')

classmethod _make(iterable)

Make a new RateSensitivityModel object from a sequence or iterable

_replace(**kwds)

Return a new RateSensitivityModel object replacing specified fields with new values

compute_overstress

Alias for field number 1

compute_potential

Alias for field number 0

optimism.material.Hardening.create_hardening_model(properties)

optimism.material.Hardening.linear(eqps, Y0, H)

optimism.material.Hardening.power_law(eqps, Y0, n, eps0)

optimism.material.Hardening.power_law_rate_sensitivity(eqps, eqpsOld, dt, S, m, epsDot0)

optimism.material.Hardening.voce(eqps, Y0, Ysat, eps0)

optimism.material.HyperViscoelastic module

optimism.material.HyperViscoelastic._compute_dissipated_energy(dispGrad, state, dt, props)

optimism.material.HyperViscoelastic._compute_elastic_logarithmic_strain(dispGrad, stateOld)

optimism.material.HyperViscoelastic._compute_state_increment(elasticStrain, dt, props)

optimism.material.HyperViscoelastic._compute_state_new(dispGrad, stateOld, dt, props)

optimism.material.HyperViscoelastic._dissipation_potential(Dv, props)

optimism.material.HyperViscoelastic._energy_density(dispGrad, state, dt, props)

optimism.material.HyperViscoelastic._eq_strain_energy(dispGrad, props)

optimism.material.HyperViscoelastic._make_properties(properties)

optimism.material.HyperViscoelastic._neq_strain_energy(elasticStrain, props)

optimism.material.HyperViscoelastic.create_material_model_functions(properties)

optimism.material.J2Plastic module

optimism.material.J2Plastic._compute_dissipation(dispGrad, stateOld, dt, props, hardeningModel)

optimism.material.J2Plastic._energy_density(elStrain, state, dt, props, hardening_model)

optimism.material.J2Plastic.compute_elastic_linear_strain(dispGrad, state)

optimism.material.J2Plastic.compute_elastic_logarithmic_strain(dispGrad, state)

optimism.material.J2Plastic.compute_elastic_seth_hill_strain(dispGrad, state)

optimism.material.J2Plastic.compute_flow_direction(elasticStrain)

optimism.material.J2Plastic.compute_state_increment(elasticStrain, state, dt, props, hardening_model)

optimism.material.J2Plastic.compute_state_new_finite_deformations(dispGrad, stateOld, dt, props, hardening_model)

optimism.material.J2Plastic.compute_state_new_seth_hill(dispGrad, stateOld, dt, props, hardening_model)

optimism.material.J2Plastic.compute_state_new_small_deformations(dispGrad, stateOld, dt, props, hardening_model)

optimism.material.J2Plastic.create_material_model_functions(properties)

optimism.material.J2Plastic.elastic_deviatoric_free_energy(elasticStrain, props)

optimism.material.J2Plastic.elastic_free_energy(elasticStrain, props)

optimism.material.J2Plastic.elastic_volumetric_free_energy(strain, props)

optimism.material.J2Plastic.incremental_potential(elasticTrialStrain, eqps, eqpsOld, dt, props, hardening_model)

optimism.material.J2Plastic.make_initial_state_finite_deformations(shape=(1,))

optimism.material.J2Plastic.make_initial_state_small_deformations(shape=(1,))

optimism.material.J2Plastic.make_properties(E, nu, Y0)

optimism.material.J2Plastic.r(elasticTrialStrain, eqps, eqpsOld, dt, props, hardening_model)

Jacobian of incremental_potential with respect to positional argument(s) 1. Takes the same arguments as incremental_potential but returns the jacobian of the output with respect to the arguments at positions 1.

optimism.material.J2Plastic.update_state(elasticTrialStrain, stateOld, dt, props, hardening_model)

optimism.material.LinearElastic module

optimism.material.LinearElastic._linear_elastic_energy_density(strain, props)

optimism.material.LinearElastic._make_properties(E, nu)

optimism.material.LinearElastic.compute_state_new(dispGrad, internalVars, dt)

optimism.material.LinearElastic.create_material_model_functions(properties)

optimism.material.LinearElastic.green_lagrange_strain(dispGrad)

optimism.material.LinearElastic.linear_strain(dispGrad)

optimism.material.LinearElastic.log_strain(dispGrad)

optimism.material.LinearElastic.make_initial_state()

optimism.material.MaterialModel module

class optimism.material.MaterialModel.MatProps(props, num_props, num_states)

Bases: tuple

_asdict()

Return a new dict which maps field names to their values.

_field_defaults = {}

_fields = ('props', 'num_props', 'num_states')

classmethod _make(iterable)

Make a new MatProps object from a sequence or iterable

_replace(**kwds)

Return a new MatProps object replacing specified fields with new values

num_props

Alias for field number 1

num_states

Alias for field number 2

props

Alias for field number 0

class optimism.material.MaterialModel.MaterialModel(compute_energy_density, compute_initial_state, compute_state_new, compute_material_qoi, density)

Bases: tuple

_asdict()

Return a new dict which maps field names to their values.

_field_defaults = {'compute_material_qoi': 0.0, 'density': None}

_fields = ('compute_energy_density', 'compute_initial_state', 'compute_state_new', 'compute_material_qoi', 'density')

classmethod _make(iterable)

Make a new MaterialModel object from a sequence or iterable

_replace(**kwds)

Return a new MaterialModel object replacing specified fields with new values

compute_energy_density

Alias for field number 0

compute_initial_state

Alias for field number 1

compute_material_qoi

Alias for field number 3

compute_state_new

Alias for field number 2

density

Alias for field number 4

optimism.material.MaterialUniaxialSimulator module

class optimism.material.MaterialUniaxialSimulator.UniaxialOutput(time, strainHistory, stressHistory, energyHistory, internalVariableHistory)

Bases: tuple

Output from a uniaxial tension test on a material.

time

discrete time points in the unixial data

Type:

array

strainHistory

displacement gradient tensor at each time point

Type:

array

stressHistory

Piola stress tensor at each time point

Type:

array

energyHistory

Potential function value at each time point

Type:

array

internalVariableHistory

Collection of internal variables for the given material at each time point.

Type:

array

_asdict()

Return a new dict which maps field names to their values.

_field_defaults = {}

_fields = ('time', 'strainHistory', 'stressHistory', 'energyHistory', 'internalVariableHistory')

classmethod _make(iterable)

Make a new UniaxialOutput object from a sequence or iterable

_replace(**kwds)

Return a new UniaxialOutput object replacing specified fields with new values

energyHistory

Alias for field number 3

internalVariableHistory

Alias for field number 4

strainHistory

Alias for field number 1

stressHistory

Alias for field number 2

time

Alias for field number 0

optimism.material.MaterialUniaxialSimulator.makeStrainTensor_(freeStrains, p)

optimism.material.MaterialUniaxialSimulator.run(materialModel, strain_history, maxTime, steps=10, tol=0.001)

Generates the uniaxial response of a given material :param materialModel: Material to subject to uniaxial stress test :type materialModel: MaterialModel object :param strain_history: The tensile strain as a function of time :type strain_history: callable (float) -> float :param maxTime: Upper limit of the time interval :type maxTime: float :param steps: Number of time steps to take :type steps: int

Returns:

UniaxialOutput

Return type:

named tuple of constitutive output

optimism.material.Neohookean module

optimism.material.Neohookean._adagio_neohookean(dispGrad, internalVariables, props)

optimism.material.Neohookean._compute_state_new(dispGrad, internalVars, props)

optimism.material.Neohookean._make_properties(E, nu)

optimism.material.Neohookean._neohookean_3D_energy_density(dispGrad, internalVariables, props)

optimism.material.Neohookean.create_material_model_functions(properties)

optimism.material.Neohookean.make_initial_state()

Module contents