AdvectiveStress

Source: models/porous_flow/AdvectiveStress.py

Variational advective stress associated with swelling-induced volume change.

Implements \(p_s = -c/(3 J_s^{5/3} J_t^{2/3}) * P_{ij} F_{ij}\) where \(J_s\) (swelling/phase-change Jacobian) and \(J_t\) (thermal-expansion Jacobian) are optional inputs defaulting to 1, \(P\) is the first Piola-Kirchhoff stress, \(F\) is the deformation gradient, and \(c\) is the volume-change coefficient. Mirrors the C++ models/porous_flow/AdvectiveStress set_value math 1:1.

Inputs

js — input · Scalar

The Jacobian of the deformation gradient associated with the swelling and phase change

jt — input · Scalar

The Jacobian of the deformation gradient associated with the thermal and volume expansion

deformation_gradient — input · R2 · required

The deformation gradient

pk1_stress — input · R2 · required

1st Piola-Kirchhoff stress

Outputs

advective_stress — output · Scalar · required

The average advective stress

Parameters

coefficient — parameter · Scalar · required

Coefficient c