Elastoplastic theory of finite deformation and its solution method for non-ordinary state-based peridynamics.

The peridynamics is a new meshless method, which has developed rapidly in recent years because of its superiority in dealing with discontinuity problems. In this paper, we established elastoplastic constitutive relations of finite deformation using Jaumann stress rate, Almansi strain rate, von Mises yield criteria, associated flow and isotropic hardening rule under the framework of non-ordinary state-based peridynamics. Further, the updated Lagrange solution method to the constitutive relation has also been proposed. We applied the solution to simulate the large elastoplastic tensile deformation of a rod and necking of a cylindrical bar, and the results are consistent with the analytical solution and the experimental results, separately. Our findings prove that the theory and method proposed in this paper are applicable to the analysis of elastoplastic finite deformation. [ABSTRACT FROM AUTHOR]