MODELING OF BEHAVIOR OF DOUBLY CONNECTED RIGID-PLASTIC PLATE OF ARBITRARY FORM WITH THE INTERNAL CURVILINEAR SUPPORT UNDER EXPLOSIVE LOADS

Abstract

The general solution of the problem of limit and dynamic deformation is obtained for the ideal rigid-plastic plate of arbitrary form with an arbitrary free hole, supported on curved smooth closed contour located on the plate. The plate is subjected to short-term dynamic load of explosive type with high intensity, uniformly distributed over the surface. It is shown that there are several mechanisms of deformation, depending on the forms of the contours of plate and on the contour of the support. The analytical formulas are obtained for calculation of the limit load and the final deflections of plates. Optimal location of the support, at which the plate has a maximum limit load, is defined. Numerical examples are given.

Keywords: rigid-plastic doubly connected plate, curvilinear contour, free hole, internal curvilinear support, explosive load, limit load, final deflection.