Explicit phase field generalized interpolation material point method for dynamic fracture problems

Abstract

A novel explicit phase field generalized interpolation material point method (EPF-GIMPM) is proposed to solve dynamic fracture problems. An explicit rate-dependent phase field fracture model is introduced to ensure local growth of the phase field. The proposed method utilizes an explicit forward-difference time integration strategy to solve coupled-field governing equations based on the material point method. Generalized interpolation techniques are employed to improve computational accuracy by eliminating numerical noises from material points crossing cell boundaries during simulation. Additionally, the GIMP technology is combined with a particle-to-particle contact algorithm, and considers Coulomb friction to handle complex multi-body contact and collision fracture problems. Numerical examples, such as cracked square plate tests, Kalthoff-Winkler experiment, collision of rings, and dynamic crack branching, are used to verify the high accuracy and excellent capability of the proposed method while discussing the influence of explicit viscosity parameters on phase field fracture modeling.