Fracture Analyses Using a Coupling Approach of Voronoi-Cell Lattice Model and Finite Element Method

Abstract

In this presentation, a coupling approach of Voronoi-cell lattice model (VCLM) and finite element method (FEM) is proposed for simulating the fracture behaviors of quasi-brittle solids. By the central role of the Voronoi cell into the elastic uniformity of solid deformations, the finite element is introduced to compliment the Poisson effect. The Delaunay/Voronoi dual tessellations in the mesh construction facilitate the compatibility of the VCLM with the FEM. Therefore, the proposed approach effectively simulates both the volumetric and fracture behaviors. Besides, a coupling strategy of the VCLM domain and the FEM domain is discussed for numerical efficiency.