Mesh Sensitivity in Peridynamic Simulations
Peridynamics [1, 2] is a recently developed non-local theory of continuum mechanics that is useful in simulating multi-scale phenomena. Its formulation is based upon an integral equation of motion, so that discontinuities may spontaneously form and propagate without special treatment. Thus it is well-suited to modeling materials phenomena that involve discontinuities, such as fracture, dislocations, and phase transitions. In this work, we investigate the suitability of several meshing strategies for simulating a peridynamic brittle impact model. We present a qualitative comparison of the fracture patterns that result, and suggest best practices for generating meshes that lead to efficient, high-quality numerical simulations of peridynamic models.