A Second-Order Cell-Centered Lagrangian Method for Two-Dimensional Elastic-Plastic Flows

For 2D elastic-plastic flows with the hypo-elastic constitutive model and von Mises’ yielding condition, the non-conservative character of the hypo-elastic constitutive model and the von Mises’ yielding condition make the construction of the solution to the Riemann problem a challenging task. In this paper, we first analyze the wave structure of the Riemann problem and develop accordingly a F our- R arefaction wave approximate R iemann S olver...