A general finite deformation hypoelastic-plasticity non-ordinary state-based peridynamics model and its applications

In this work, we present a general approach to incorporate the rate form finite elastoplasticity theory into the framework of state-based peridynamics. Specifically, we illustrate to how develop a state-based peridynamics of an associative finite deformation elasto-plastic model that explicitly contains isotropic hardening behaviors in mechanical response. Material constitutive models are developed within the framework of the non-ordinary state-based peridynamics theory, and it is employed in formulating explicit numerical integration strategy with operator split technique and classical return mapping strategy of isotropic plasticity. Convergence studies have been conducted to validate the accuracy of the proposed peridynamic formulation in small deformation regime comparing with the results obtained by finite element method. A meshfree particle contact force model is incorporated to the proposed peridynamic model to simulate impact problem. This work develops for the first time a complete rate form of nonlocal hypo-elastoplastic peridynamics formulation, which provides a systematic procedure to incorporate the general inelastic constitutive models in available constitutive libraries into the state-based peridynamics. It lays a foundation for further developing the hyper-elastoplastic peridynamics material model.