Abstract

The dynamic response of a thick plate to distributed pressure loading on its surface is obtained by superposing solutions obtained for the half-space which were reported by the authors in reference [1]. In order to enforce a traction-free plate surface, superpositions of both normal and shear load solutions are normally required. An algorithm was developed where superpositions of normal load solutions for the half-space are used in such a way that shear stresses are also removed. Several examples are given, and the three-dimensional result for a uniformly distributed load case is compared, in the limit, with a one-dimensional solution to verify partially the correctness of the approach.

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