A thermodynamically consistent finite strain phase field approach to ductile fracture considering multi-axial stress states

Phase field models for ductile fracture have gained significant attention in the last two decades due to their ability implicitly tracking nucleation and propagation of cracks. However, most crack phase formulations elastoplastic solids focus only on effects plastic deformation , do not consider different multi-axial stress states that may arise practical designs. In this work, a thermodynamically consistent approach coupled with finite strain plasticity, considering is presented. order account coupling between plasticity states, Stress-Weighted Ductile Fracture Model (SWDFM) utilized. The SWDFM represents criterion predicting initiation under both monotonic cyclic loadings based histories an internal variable, triaxiality Lode angle parameter. excellent performance motivates its incorporation into through degradation toughness . Moreover, second law thermodynamics exact requirements are imposed rate at which can evolve. A novel function degrading yield surface during evolution damage introduced. This function, line experimental observations, leads accumulation damaged regions solid, avoids numerical instabilities arising from concentrations large deformations severely regions. For validating proposed model, results computational simulations compared data selected tests states. Comparisons laboratory experiments demonstrate capabilities framework.