sfepy.terms.terms_biot module¶
- class sfepy.terms.terms_biot.BiotETHTerm(name, arg_str, integral, region, **kwargs)[source]¶
This term has the same definition as dw_biot_th, but assumes an exponential approximation of the convolution kernel resulting in much higher efficiency. Can use derivatives.
- Definition:
- Call signature:
dw_biot_eth
(ts, material_0, material_1, virtual, state)
(ts, material_0, material_1, state, virtual)
- Arguments 1:
ts :
TimeStepper
instancematerial_0 :
material_1 : (decay at )
virtual :
state :
- Arguments 2:
ts :
TimeStepper
instancematerial_0 :
material_1 : (decay at )
state :
virtual :
- arg_shapes = {'material_0': 'S, 1', 'material_1': '1, 1', 'state/div': 'D', 'state/grad': 1, 'virtual/div': (1, None), 'virtual/grad': ('D', None)}¶
- arg_types = (('ts', 'material_0', 'material_1', 'virtual', 'state'), ('ts', 'material_0', 'material_1', 'state', 'virtual'))¶
- modes = ('grad', 'div')¶
- name = 'dw_biot_eth'¶
- class sfepy.terms.terms_biot.BiotStressTerm(name, arg_str, integral, region, **kwargs)[source]¶
Evaluate Biot stress tensor.
It is given in the usual vector form exploiting symmetry: in 3D it has 6 components with the indices ordered as , in 2D it has 3 components with the indices ordered as .
Supports ‘eval’, ‘el_avg’ and ‘qp’ evaluation modes.
- Definition:
- Call signature:
ev_biot_stress
(material, parameter)
- Arguments:
material :
parameter :
- arg_shapes = {'material': 'S, 1', 'parameter': 1}¶
- arg_types = ('material', 'parameter')¶
- integration = 'cell'¶
- name = 'ev_biot_stress'¶
- class sfepy.terms.terms_biot.BiotTHTerm(name, arg_str, integral, region, **kwargs)[source]¶
Fading memory Biot term. Can use derivatives.
- Definition:
- Call signature:
dw_biot_th
(ts, material, virtual, state)
(ts, material, state, virtual)
- Arguments 1:
ts :
TimeStepper
instancematerial :
virtual :
state :
- Arguments 2:
ts :
TimeStepper
instancematerial :
state :
virtual :
- arg_shapes = {'material': '.: N, S, 1', 'state/div': 'D', 'state/grad': 1, 'virtual/div': (1, None), 'virtual/grad': ('D', None)}¶
- arg_types = (('ts', 'material', 'virtual', 'state'), ('ts', 'material', 'state', 'virtual'))¶
- modes = ('grad', 'div')¶
- name = 'dw_biot_th'¶
- class sfepy.terms.terms_biot.BiotTerm(name, arg_str, integral, region, **kwargs)[source]¶
Biot coupling term with given in:
vector form exploiting symmetry - in 3D it has the indices ordered as , in 2D it has the indices ordered as ,
matrix form - non-symmetric coupling parameter.
Corresponds to weak forms of Biot gradient and divergence terms. Can be evaluated. Can use derivatives.
- Definition:
- Call signature:
dw_biot
(material, virtual, state)
(material, state, virtual)
(material, parameter_v, parameter_s)
- Arguments 1:
material :
virtual :
state :
- Arguments 2:
material :
state :
virtual :
- Arguments 3:
material :
parameter_v :
parameter_s :
- arg_shapes = [{'material': 'S, 1', 'parameter_s': 1, 'parameter_v': 'D', 'state/div': 'D', 'state/grad': 1, 'virtual/div': (1, None), 'virtual/grad': ('D', None)}, {'material': 'D, D'}]¶
- arg_types = (('material', 'virtual', 'state'), ('material', 'state', 'virtual'), ('material', 'parameter_v', 'parameter_s'))¶
- modes = ('grad', 'div', 'eval')¶
- name = 'dw_biot'¶