A computational strategy for the modeling of elasto-plastic materials under impact loadings

This paper presents a numerical strategy for the modeling of elasto-plastic materials under impact loadings. The bi-potential method is efficient in dealing with implicit standard materials constitutive laws, such as frictional contact. The Uzawa algorithm, based on the bi-potential method is applied to deal with the non-linearity of boundary conditions. For the non-linearity associated with materials, a Return Mapping Algorithm is applied to deal with the elasto-plastic constitutive laws. On the basis of the Updated Lagrangian formulation, we adopt a Rotationally Neutralized Objective hypothesis to describe the geometrically non-linear behavior. Equations of motion are integrated with a first order scheme. Three numerical examples are performed to verify the accuracy and to show the applicability of the proposed approach.