Peridynamic computations with variable grid size

In the original peridynamics formulation computational resources are not necessarily used efficiently because a uniform grid with constant horizon on the whole discretized domain is adopted. In the present work we apply the adaptive refinement with a new damage based trigger and nodes generation method to study the dynamic crack propagation in two dimensional brittle materials. Both homogeneous and heterogeneous materials can be considered and ad hoc interface constitutive laws can be introduced. Multiple levels of refinement can be used in case various scales affect the problem. That is an essential component to generate a concurrent multi-scale model within a unified approach. The potentialities of the proposed algorithms and the good agreement with experimental data are presented.