sfepy.terms.terms_hyperelastic_tl module

class sfepy.terms.terms_hyperelastic_tl.BulkActiveTLTerm(*args, **kwargs)

Hyperelastic bulk active term. Stress , where is the activation in .

Definition :

Call signature:

dw_tl_bulk_active

(material, virtual, state)

Arguments :

• material :
• virtual :
• state :

family_data_names = ['det_f', 'sym_inv_c']

name = 'dw_tl_bulk_active'

stress_function()

tan_mod_function()

class sfepy.terms.terms_hyperelastic_tl.BulkPenaltyTLTerm(*args, **kwargs)

Hyperelastic bulk penalty term. Stress .

Definition :

Call signature:

dw_tl_bulk_penalty

(material, virtual, state)

Arguments :

• material :
• virtual :
• state :

family_data_names = ['det_f', 'sym_inv_c']

name = 'dw_tl_bulk_penalty'

stress_function()

tan_mod_function()

class sfepy.terms.terms_hyperelastic_tl.BulkPressureTLTerm(*args, **kwargs)

Hyperelastic bulk pressure term. Stress .

Definition :

Call signature:

dw_tl_bulk_pressure

(virtual, state, state_p)

Arguments :

• virtual :
• state :
• state_p :

arg_shapes = {'state_p': 1, 'state': 'D', 'virtual': ('D', 'state')}

arg_types = ('virtual', 'state', 'state_p')

compute_data(family_data, mode, **kwargs)

family_data_names = ['det_f', 'sym_inv_c']

family_function()

get_eval_shape(virtual, state, state_p, mode=None, term_mode=None, diff_var=None, **kwargs)

get_fargs(virtual, state, state_p, mode=None, term_mode=None, diff_var=None, **kwargs)

name = 'dw_tl_bulk_pressure'

stress_function()

tan_mod_u_function()

weak_dp_function()

weak_function()

class sfepy.terms.terms_hyperelastic_tl.DiffusionTLTerm(*args, **kwargs)

Diffusion term in the total Lagrangian formulation with linearized deformation-dependent permeability , where relates to the previous time step and expresses the dependence on volume compression/expansion.

Definition :

Call signature:

dw_tl_diffusion

(material_1, material_2, virtual, state, parameter)

Arguments :

• material_1 :
• material_2 :
• virtual :
• state :
• parameter :

arg_shapes = {'material_1': 'D, D', 'material_2': '1, 1', 'parameter': 'D', 'state': 1, 'virtual': (1, 'state')}

arg_types = ('material_1', 'material_2', 'virtual', 'state', 'parameter')

family_data_names = ['mtx_f', 'det_f']

function()

get_eval_shape(perm, ref_porosity, virtual, state, parameter, mode=None, term_mode=None, diff_var=None, **kwargs)

get_fargs(perm, ref_porosity, virtual, state, parameter, mode=None, term_mode=None, diff_var=None, **kwargs)

name = 'dw_tl_diffusion'

class sfepy.terms.terms_hyperelastic_tl.HyperElasticTLBase(*args, **kwargs)

Base class for all hyperelastic terms in TL formulation family.

The subclasses should have the following static method attributes: - stress_function() (the stress) - tan_mod_function() (the tangent modulus)

The common (family) data are cached in the evaluate cache of state variable.

compute_family_data(state)

family_function()

fd_cache_name = 'tl_common'

hyperelastic_mode = 0

weak_function()

class sfepy.terms.terms_hyperelastic_tl.MooneyRivlinTLTerm(*args, **kwargs)

Hyperelastic Mooney-Rivlin term. Effective stress .

Definition :

Call signature:

dw_tl_he_mooney_rivlin

(material, virtual, state)

Arguments :

• material :
• virtual :
• state :

family_data_names = ['det_f', 'tr_c', 'sym_inv_c', 'sym_c', 'in2_c']

name = 'dw_tl_he_mooney_rivlin'

stress_function()

tan_mod_function()

class sfepy.terms.terms_hyperelastic_tl.NeoHookeanTLTerm(*args, **kwargs)

Hyperelastic neo-Hookean term. Effective stress .

Definition :

Call signature:

dw_tl_he_neohook

(material, virtual, state)

Arguments :

• material :
• virtual :
• state :

family_data_names = ['det_f', 'tr_c', 'sym_inv_c']

name = 'dw_tl_he_neohook'

stress_function()

tan_mod_function()

class sfepy.terms.terms_hyperelastic_tl.SurfaceTractionTLTerm(*args, **kwargs)

Surface traction term in the total Lagrangian formulation, expressed using , the outward unit normal vector w.r.t. the undeformed surface, , the deformation gradient, , and a given traction, often equal to a given pressure, i.e. .

Definition :

Call signature:

dw_tl_surface_traction

(material, virtual, state)

Arguments :

• material :
• virtual :
• state :

arg_shapes = {'state': 'D', 'material': 'D, D', 'virtual': ('D', 'state')}

arg_types = ('material', 'virtual', 'state')

check_shapes(mat, virtual, state)

compute_family_data(state)

family_data_names = ['det_f', 'inv_f']

family_function()

function()

get_fargs(mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs)

integration = 'surface_extra'

name = 'dw_tl_surface_traction'

class sfepy.terms.terms_hyperelastic_tl.VolumeTLTerm(*args, **kwargs)

Volume term (weak form) in the total Lagrangian formulation.

Definition :

Call signature:

dw_tl_volume

(virtual, state)

Arguments :

• virtual :
• state :

arg_shapes = {'state': 'D', 'virtual': (1, None)}

arg_types = ('virtual', 'state')

family_data_names = ['mtx_f', 'det_f', 'sym_inv_c']

function()

get_eval_shape(virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs)

get_fargs(virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs)

name = 'dw_tl_volume'