A generalized 2D non-local lattice spring model for fracture simulation

A generalized 2D non-local lattice spring model, the Volume-Compensated Particle Model (VCPM), is proposed for the study of fracture phenomena of homogeneous isotropic solids in this paper. In the proposed VCPM, both the pairwise local and the multi-body non-local interaction forces among particles are considered. Special focus is on the investigation of the failure anisotropy or directional preference of the crack path while modeling fracture phenomena within the framework of regular lattice spring models. Different from random network models, a generalized regular lattice framework to include multiple non-local forces from neighboring particles is proposed to eliminate/reduce this well-known failure anisotropy issue. Several benchmarks are tested to assess the performance of the proposed methodology. Discussions and conclusions are drawn based on the current study.