ABSTRACT
While most peridynamics work has focused on simulating problems with free or fixed boundary conditions, there are applications in which the simulation of an infinite medium may be useful, such as crack propagation in a half-space or indentation problems. Absorbing boundary conditions are one way of simulating an infinite medium as any impinging waves are suppressed so they do not reflect back into the simulation. A PML is such an absorbing boundary, and was originally introduced for electromagnetic simulations [4, 6]. PMLs differ from traditional absorbing boundary conditions in that they are an absorbing layer with a finite width, placed between the computation region of interest and the truncation of the grid or mesh. They can also be thought of as an anisotropic absorbing material, which is why the flexibility of state-based peridynamics is necessary [25]. A PML was also applied to onedimensional peridynamics [24], which used the results of Du et al. [7] to formulate an auxiliary field equation. This approach required a banded matrix representation of the auxiliary field, which may be memory prohibitive in higher dimensions.
