Phase field simulation for fracture behavior of hyperelastic material at large deformation based on edge-based smoothed finite element method

Phase Field Method (PFM) has remarkable performance in simulating crack patterns with complex topology and the edge-based smoothed finite element method (ES-FEM) has intrinsic advantages in modeling the fracture behavior at large deformation. A phase field fracture model for modeling hyperelastic material at large deformation is proposed based on ES-FEM. The weak forms and numerical framework of proposed model are thoroughly derived and constructed. The Neo-Hooken and Mooney-Rivlin constitutive models are adopted to describe the large deformation response of rubber-like materials under displacement load. Fracture behaviors of the penny shaped pre-cracked specimen and the double edge notched specimen in tension are simulated. The load-displacement curves of the double edge notched specimen agree well with that of the experiments. The influence of material constitutive model on Mode II crack propagation is investigated. It is shown that the developed model can capture the Mode I and the mode II cracks of rubber-like material and is insensitive to the distorted mesh at large deformation.