Hybrid model of peridynamics and finite element method for static elastic deformation and brittle fracture analysis

A new hybrid model of peridynamics (PD) and finite element method (FEM) based on the implicit schemes is proposed to take advantage of PD in solving discontinuities and the computational efficiency of FEM. The region without failure is simulated by FEM. The improved prototype micro-elastic brittle (PMB) model of peridynamics is utilized for the regions where material failure is expected. The truss elements are introduced to bridge finite element (FE) subregions and perdynamic subregions. The present approach is demonstrated through some numerical examples. The displacements of a two-dimensional bar and a cantilever beam using the hybrid model are compared with solutions of theory and FEM. The crack intersection in a slab is simulated and compared with other methods. Numerical predictions of the mode I fracture in a three-point bending beam agree well with the experimental results.