Phase field modeling of frictional slip with slip weakening/strengthening under non-isothermal conditions

Cracks, veins, joints, faults, and ocean crusts are strong discontinuities of different length scales that can be found in many geological formations. While the constitutive laws for frictional slip these interfaces have been focus decades-long geophysical research, capturing evolving geometry such as branching, coalescence, corresponding interplay between mode II crack growth compression remains a challenging task. This work employs phase field framework contact originated Fei Choo (2020), s.t. represented by implicit functions responses transitional damage zone is approximated diffusive law captures coupling bulk interfacial plasticity. To replicate rate dependence size effects commonly exhibited interfaces, we propose regularized weakening/strengthening at loading rates temperature regimes. Numerical examples provided to show model may converge into strong-discontinuity counterpart capture response along geometrically complex interfaces.