Accurate absorbing boundary conditions for two-dimensional peridynamics

• We discretize the 2D peridynamics equation using a time Crank-Nicolson/spatial asymptotically compatible scheme. The boundary conditions prevent. corner reflections for peridynamics. numerical stability condition is proven. aim of this paper to construct accurate absorbing (ABCs) two-dimensional motion which describes nonlocal phenomena arising in continuum mechanics based on integrodifferential equations. To end, full discretization system used Crank-Nicolson scheme and an space. Recursive relations Green's functions are then derived numerically evaluate ABCs. In particular, these solve reflection problem with high precision. complete fully discretized stated examples finally reported demonstrate validity resulting