Two theorems concerning discontinuities in dynamics of rigid-perfectly plastic continua under finite deformation (Q1057691)

In this paper the results of the author, Acta Mech. Sin. 1983, 500-508 (1983; Zbl 0552.73026) are generalized. Two theorems concerning discontinuities in dynamics 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 continuous 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, plates and shells in which the shear deformation and rotatory inertia are considered.