Two Theorems Concerning Discontinuities in Dynamics of Rigid-Perfectly Plastic Continua under Finite Deformation

In this paper the results of ref [1] are gentralized. Two theorems concerning discontimsities in dynemics of rigid-perfectly plastic continua under finite deformation are proved, namely: i) the traction on the interface between the rigid and the plastic regions is contineous and ii) when the interface moves from the plastic region into the rigid region, the rate of deformation is continuous too. These conclusions can also be applied to structures such as beams, pletes and shells in which the shear deformation and rotatory inertia are considered.