Mesh Sensitivity in Peridynamic Quasi-static Simulations

Peridynamics is a non-local formulation of continuum mechanics that does not rely on spatial derivatives, therefore peridynamics is well suited for crack and failure modeling. Body is discretized in a finite number of particles and each particle connects to other particles within a range called a material's horizon. In this study authors performed fifty glass-fiber coupon tensile and compression simulations with different horizon size and particle spacing combinations to see how they influence maximum displacement. Values from simulations are compared with values calculated using Hooke's law. The results show that the horizon size of three particle spacings gives the best results, which, support's the general view on the issue. However, simulations with horizon sizes times larger than particle spacing show similar accuracy.