Strain and fracture of circular plates under static and dynamical loading by a spherical body

Abstract

The strain and fracture of plates under the action of a load normal to their planes was studied in numerous papers. A review of publications in this field in the case of impact by a freely flying body is given in [1–3]. At first, researchers’ attention was mainly paid to the so-called ideal version of collision in which the normal impact of a rigid body on the plate center was considered and the boundary conditions did not affect the results of impact. The plate strains were studied near and in the region of impact, the minimal velocities were determined for a body of some specific shape for which the plate is punched through (the so-called ballistic limit); the shapes of fractured punched plates and the residual velocity of the body if its initial velocity exceeds the ballistic limit were also determined. In the last years, the more complicated cases of collision have been studied, namely, the case in which the impact is not directed along the normal to the plate plane and the impact velocity vector does not coincide with the body symmetry axis as well as the case of impacts on shells. The research in this field was represented in [2, 3]. But in this case the influence of the boundary conditions is still considered insufficiently. This gap was indicated in [2].