Some discussion on moving strong discontinuity under plane stress conditions

This paper deals with moving strong discontinuities in an elastic ideally plastic solid under plane stress conditions for a Huber-Mises material. Small strain formulation is employed, inertia terms are ignored (quasi-static), and the in-plane displacements are assumed to be continuous in the body during the deformation process. It is shown that stress discontinuity is not permissible anywhere in the body. The only permissible jumps are the strains and material velocities, and they must occur across a characteristic surface. A restriction for material velocity jumps is given. The results are discussed and compared with those obtained from rigid plastic theory.