Superposition-based coupling of peridynamics and finite element method

A superposition-based coupling of peridynamics (PD) and finite element method (FEM) for static and quasi-static problems is developed. The proposed coupling approach is based on partial superposition of nonlocal PD and local FEM solutions subjected to appropriate homogeneous boundary conditions that enforce solution continuity. The noteworthy features of the proposed PD-FEM superposition approach are: (1) it is free of blending parameters and (2) it preserves the standard computational structure of its two constituents, i.e., discrete weak form of the FEM and the strong form mesh-free style of PD. The performance of the proposed superposition approach is studied for several one- and two- dimensional problems.