hookeai.simulators.fetorch.material.models.standard.von_mises.VonMises¶

class VonMises(strain_formulation, problem_type, model_parameters, is_su_float64=True, device_type='cpu')[source]¶

Bases: ConstitutiveModel

Von Mises constitutive model with isotropic strain hardening.

_name¶

Constitutive model name.

Type:: str

_strain_type¶

Material constitutive model strain formulation: infinitesimal strain formulation (‘infinitesimal’), finite strain formulation (‘finite’) or finite strain formulation through kinematic extension (‘finite-kinext’).

Type:: {‘infinitesimal’, ‘finite’, ‘finite-kinext’}

_model_parameters¶

Material constitutive model parameters.

Type:: dict

_n_dim¶

Problem number of spatial dimensions.

Type:: int

_comp_order_sym¶

Strain/Stress components symmetric order.

Type:: list

_comp_order_nsym¶

Strain/Stress components nonsymmetric order.

Type:: list

_is_su_float64¶

If True, then state update is locally computed in floating-point double precision. If False, then default floating-point precision is assumed.

Type:: bool

_device_type¶

Type of device on which torch.Tensor is allocated.

Type:: {‘cpu’, ‘cuda’}

_device¶

Device on which torch.Tensor is allocated.

Type:: torch.device

get_required_model_parameters()[source]¶: Get required material constitutive model parameters.

state_init(self)[source]¶: Get initialized material constitutive model state variables.

state_update(self, inc_strain, state_variables_old)[source]¶: Perform material constitutive model state update.

Constitutive model constructor.

Parameters:

strain_formulation ({'infinitesimal', 'finite'}) – Problem strain formulation.
problem_type (int) – Problem type: 2D plane strain (1), 2D plane stress (2), 2D axisymmetric (3) and 3D (4).
model_parameters (dict) – Material constitutive model parameters.
is_su_float64 (bool, default=True) – If True, then state update is locally computed in floating-point double precision. If False, then default floating-point precision is assumed.
device_type ({'cpu', 'cuda'}, default='cpu') – Type of device on which torch.Tensor is allocated.

List of Public Methods

`get_device`	Get device on which torch.Tensor is allocated.
`get_model_parameters`	Get material constitutive model parameters.
`get_name`	Get material constitutive model name.
`get_required_model_parameters`	Get required material constitutive model parameters.
`get_strain_type`	Get material constitutive model strain formulation.
`set_device`	Set device on which torch.Tensor is allocated.
`state_init`	Get initialized material constitutive model state variables.
`state_update`	Perform material constitutive model state update.

Methods

__init__(strain_formulation, problem_type, model_parameters, is_su_float64=True, device_type='cpu')[source]¶

Constitutive model constructor.

Parameters:

strain_formulation ({'infinitesimal', 'finite'}) – Problem strain formulation.
problem_type (int) – Problem type: 2D plane strain (1), 2D plane stress (2), 2D axisymmetric (3) and 3D (4).
model_parameters (dict) – Material constitutive model parameters.
is_su_float64 (bool, default=True) – If True, then state update is locally computed in floating-point double precision. If False, then default floating-point precision is assumed.
device_type ({'cpu', 'cuda'}, default='cpu') – Type of device on which torch.Tensor is allocated.

get_device()¶

Get device on which torch.Tensor is allocated.

Returns:

device_type ({‘cpu’, ‘cuda’}) – Type of device on which torch.Tensor is allocated.
device (torch.device) – Device on which torch.Tensor is allocated.

get_model_parameters()¶

Get material constitutive model parameters.

Returns:: model_parameters – Material constitutive model parameters.
Return type:: dict

get_name()¶

Get material constitutive model name.

Returns:: name – Material constitutive model name.
Return type:: str

static get_required_model_parameters()[source]¶

Get required material constitutive model parameters.

Model parameters:

‘elastic_symmetry’ : Elastic symmetry (str, {‘isotropic’, ‘transverse_isotropic’, ‘orthotropic’, ‘monoclinic’, ‘triclinic’});
‘elastic_moduli’ : Elastic moduli (dict, {‘Eijkl’: float});
‘euler_angles’Euler angles (degrees) sorted according with Bunge
convention (tuple[float]).
‘hardening_law’ : Isotropic hardening law (function)
‘hardening_parameters’ : Isotropic hardening law parameters (dict)

Returns:: model_parameters_names – Material constitutive model parameters names (str).
Return type:: tuple[str]

get_strain_type()¶

Get material constitutive model strain formulation.

Returns:: strain_type – Material constitutive model strain formulation: infinitesimal strain formulation (‘infinitesimal’), finite strain formulation (‘finite’) or finite strain formulation through kinematic extension (‘finite-kinext’).
Return type:: {‘infinitesimal’, ‘finite’, ‘finite-kinext’}

set_device(device_type)¶

Set device on which torch.Tensor is allocated.

Parameters:

device_type ({'cpu', 'cuda'}) – Type of device on which torch.Tensor is allocated.
device (torch.device) – Device on which torch.Tensor is allocated.

state_init()[source]¶

Get initialized material constitutive model state variables.

Constitutive model state variables:

e_strain_mf
- Infinitesimal strains: Elastic infinitesimal strain tensor (matricial form).
- Finite strains: Elastic spatial logarithmic strain tensor (matricial form).
- Symbol: \(\boldsymbol{\varepsilon^{e}}\) / \(\boldsymbol{\varepsilon^{e}}\)
acc_p_strain
- Accumulated plastic strain.
- Symbol: \(\bar{\varepsilon}^{p}\)
strain_mf
- Infinitesimal strains: Infinitesimal strain tensor (matricial form).
- Finite strains: Spatial logarithmic strain tensor (matricial form).
- Symbol: \(\boldsymbol{\varepsilon}\) / \(\boldsymbol{\varepsilon}\)
stress_mf
- Infinitesimal strains: Cauchy stress tensor (matricial form).
- Finite strains: Kirchhoff stress tensor (matricial form) within state_update(), first Piola-Kirchhoff stress tensor (matricial form) otherwise.
- Symbol: \(\boldsymbol{\sigma}\) / (\(\boldsymbol{\tau}\), \(\boldsymbol{P}\))
is_plastic
- Plastic step flag.
is_su_fail
- State update failure flag.

Returns:: state_variables_init – Initialized material constitutive model state variables.
Return type:: dict

state_update(inc_strain, state_variables_old)[source]¶

Perform material constitutive model state update.

Parameters:

inc_strain (torch.Tensor(2d)) – Incremental strain second-order tensor.
state_variables_old (dict) – Last converged constitutive model material state variables.

Returns:

state_variables (dict) – Material constitutive model state variables.
consistent_tangent_mf (torch.Tensor(2d)) – Material constitutive model consistent tangent modulus stored in matricial form.