The peridynamic material model (PMM) is a new way to describe the material failures with discontinuities. Earlier works, presented by S. Silling, F. Bubaru and etc. introduced the Linear Elastic Fracture Mechanics of peridynamic material. In the recent work, the isotropic hardening plastic extension of PMM is presented. To solve the nonlinear integral equations of the problem the modified Newton method is used with mesh-less spatial discretization. At last some example shows the similarities and different between the results of classical and peridynamic plasticity.
Szabó, L.: A semi-analytical integration method for J
flow theory of plasticity with linear isotropichardening.
Computer Methods in Applied Mechanics and Engineering
Vol. 198 (2009) 2151–2166.
Szabó, L., Kovács, Á