A Multiscale Implementation Based on Adaptive Mesh Refinement for the Nonlocal Peridynamics Model in One Dimension

Peridynamics models for solid mechanics feature a horizon parameter \deltathat specifies the maximum extent of nonlocal interactions. In this paper, a multiscale implementation of peridynamics models is proposed. In regions in which the displacement field is smooth, grid sizes are large relative to \delta leading to a local behavior of the models, whereas in regions containing defects, e.g., cracks, \deltais larger than the grid size....