Numerical analysis on failure of sheet metals with non-ordinary state-based peridynamics

In this paper, a general anisotropic plastic model for sheet metals is proposed in the non-ordinary state-based peridynamics. The anisotropy plasticity of metallic material is described by the Hill48 yield criterion, and the associated flow rule and non-linear mixed-isotropic-kinematic hardening are included as well. Accordingly, the Newton-Raphson method is used here, which is more efficient than the dichotomy method. Meanwhile, a widely used continuum damage model is coupled with a new bond-breaking method based on the classic Hash principles. A detailed algorithm for numerical implementation is provided for a better understanding. The proposed model is verified by several typical examples and shows its great potential in describing aniso-tropic plasticity-ductile deformation and failure of sheet metal. In the last, the efficiency of the proposed failure criterion is analyzed and discussed through the numerical analysis of a uniaxial tensile failure test.