Coupling Peridynamic Continuum Mechanics with an Analytical Solution

Abstract Peridynamics is a nonlocal theory of continuum mechanics expressing the dynamic equilibrium of forces by using integro‐differential equations instead of partial differential equations. Thus, the equilibrium equations are still valid in case of discontinous displacement fields. In this study, we investigate the coupling between a harmonically excited peridynamic rod with a rod based on classical continuum mechanics by using the Arlequin‐method. The peridynamic region is solved by finite elements whereas for the classical region an analytical solution can be used.