Modeling of dynamic deformation of rigid-plastic doubly connected plates with arbitrary fixed curvilinear contours on a viscoelastic foundation

A general solution is obtained for the problem of dynamic bending of an ideal rigid-plastic doubly connected plate with arbitrary simply supported or clamped curvilinear contours subjected to short-time high-intensity explosive dynamic loading uniformly distributed over the surface. The plate rests on a viscoelastic foundation. It is demonstrated that there are several mechanisms of plate deformation. Equations of dynamic deformation are derived for each mechanism, and implementation conditions are analyzed. Numerical examples are given.