Abstract

The problem of the stress waves propagation of an elastic semi-infinite plate subjected stepwise to concentrated impact load at a point on the free boundary is analized. By using Fourier integral and Laplace transformation, the theoretical impact stresses are given by expressions which contain real integrals. The variations with time of the stresses and the stress distributions are calculated numerically. The stresses vary discontinuously at the arrival of the dilational and the distortional waves. In the neighbourhood of the symmetric axis, the radial and the circumferential stresses are nearly always compression and tension respectively. The maximum radial stress along the symmetric axis is about 1.6 times as large as the static one. In the neighbourhood of the free boundary, all stresses vary complicatedly with time, because of the reflected wave from the free boundary.

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