Transient Bending of a Large Elastic Plate by an Incident Spherical Pressure Wave

Abstract

The transient response of a large elastic plate to the impact of an incident spherical pressure wave is studied. The interaction problem is formulated with the aid of the Laplace and Hankel transform techniques and the inverse transform is asymptotically evaluated by the method of Laplace. The transient solution for early time immediately after the impact is obtained. It demonstrates that the convex incident wave front could cause bending stress at the plate many times higher than the incident wave front pressure.