Transient Stress in a Circular Disk under Diametrical Impact Loads

Abstract

It is the purpose of this paper to analyse the problem of stress waves in a circular disk subjected to two equal and opposite concentrated impact loads at the end points of a diameter. The solution is based on the stress function approach and the Laplace transform method to a two dimensional non-axisymmetrical dynamic problem. The Laplace inverse transforms are accomplished by the evaluation of residue. The results of numerical evaluation are shown graphically as the variation of displacement and stress versus time. We discuss the relationship between the time dependent displacement or stress, and the arrival of wave.