From: A simple and unified implementation of phase field and gradient damage models
Name | Field variable | “Diffusion” coefficient \({\varvec{\varGamma }}\) | “Flux” term \({\varvec{\nabla \psi }}\) | “Source” term \({{\varvec{h}}}_{{\varvec{s}}}\) |
---|---|---|---|---|
Temperature | T | \(\kappa \) | \(\nabla T\) | \(\dot{q}\) |
Gradient-damage | D | \(l_n ^{2 (1)}\) | \(\nabla \bar{D}\) | \(\bar{D} -D\) |
Phase-field | d | \(\mathcal{G}_c l_d ^{(1)}\) | \(\nabla d\) | \(\left( {\mathcal{G}_c /l_d } \right) d-2\mathcal{H}\left( {1-d} \right) \) |