Force-vector state-based nonlocal lattice model for simulating cracking behaviors of quasi-brittle materials

Abstract

A novel force-vector state-based nonlocal lattice model is proposed in this study to simulate cracking behaviors of quasi-brittle materials. First, the formulations and comprehensive derivations for novel force-vector state-based nonlocal lattice models are presented. The supplementary term of the force vector-state is introduced to regulate the zero-energy mode generated by the weak coupling of the center lattice with its surrounding lattices. The capabilities of the force-vector state-based nonlocal lattice model are then validated by using elastic deformation benchmarks. Simulations of cracking behaviors are performed to further test the feasibility of the proposed model. Finally, the proposed model is used to simulate cracking behaviors in quasi-brittle materials. Compared with previous experimental data, the proposed model has its advantages in handling cracking problems of quasi-brittle material.