Particle method modeling of nonlocal multiresolution continua

This work is concerned with the application of two different particle methods, the state-based peridynamics and the reproducing kernel particle method, to model the nonlocal multiresolution continuum. It is shown that both methods lead to the same results in uniform grids, and that they can offer an alternative to the finite element method based multiscale analysis. The equivalence between the two methods is explained in a comparison study, which shows that the statebased peridynamics may have better computational efficiency, but the RKPM synchronized derivative approach may have the possibility of faster convergence.