Convergence, adaptive refinement, and scaling in 1D peridynamics

We introduce here adaptive refinement algorithms for the non‐local method peridynamics, which was proposed in ( J. Mech. Phys. Solids 2000; 48 :175–209) as a reformulation of classical elasticity for discontinuities and long‐range forces. We use scaling of the micromodulus and horizon and discuss the particular features of adaptivity in peridynamics for which multiscale modeling and grid refinement are closely connected. We discuss three types...