A comparison study on peridynamic models using irregular non-uniform spatial discretization

The applicability of peridynamic models to problems with irregularly non-uniformly discretized solution domain is critical. In this study, a systematic comparison study on results predicted using eight different peridynamic models, including bond-based, ordinary state-based and non-ordinary state-based mechanics and heat conduction models, for three different types of mechanical problems, including thermal, mechanics and coupled thermo-mechanics, with irregular non-uniform spatial discretization is performed. It is found that for the case of irregular but semi-uniform spatial discretization, all these models yield good predictions compared to analytical local solutions. For the case of irregular and non-uniform spatial discretization, models formulated specifically for this configuration give much better results than the conventional formulations which do not consider the neighborhood difference among material points in the spatial discretization. For either cases of spatial discretization, the bond-associated correspondence material model predicts the most accurate results.