Phase-field method with additional dissipation force for mixed-mode cohesive fracture

This paper develops a thermodynamic framework of phase-field fracture modeling for cases where the toughness depends on the fracture mode. Using a delicately constructed energy density and a novel dissipation force in the thermodynamic framework, we propose a phase-field model that can implement arbitrary mixed-mode cohesive laws for cases where the mode-II fracture energy (GIIc) is larger than the mode-I fracture energy (GIc). Four numerical...