A bond-based linear peridynamic model for viscoelastic materials and its efficient collocation method

Abstract

We develop a peridynamic model, called non-local bond-based linear peridynamics model, for viscoelastic materials based on the fractional derivatives, which captures power-law responses and so provides a very competitive description of the mechanical vibrations. We accordingly derive a numerical scheme, efficient collocation method, to simulate the viscoelastic nonlocal model. Finally, we investigate the performance of the peridynamics model, which shows the utility of the new model and the efficiency of the fast scheme.