Publications
Hierarchical multiscale method development for peridynamics
A method is described for applying a sequence of peridynamic models with different length scales concurrently to subregions of a body. The method allows the smallest length scale, and therefore greatest spatial resolution, to be focused on evolving defects such as cracks. The peridynamic horizon in each of the models is half of that of the next model in the sequence. The boundary conditions on each model are provided by the solution predicted by the model above it. Material property characterization for each model is derived by coarse-graining the more detailed resolution in the model below it. Implementation of the multiscale method in the PDMS code is described. Examples of crack growth modeling illustrate the ability of the method to reproduce the main features of crack growth seen in a model with uniformly small resolution. Comparison of the multiscale model results with XFEM and cohesive elements is also given for a crack growth problem.