Propagation of unsteady waves in an elastic layer |
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Authors: | E L Kuznetsova D V Tarlakovskii G V Fedotenkov |
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Institution: | (1) Theoretical Research Group, Physics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt |
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Abstract: | We consider a plane problem of propagation of unsteady waves in a plane layer of constant thickness filled with a homogeneous
linearly elastic isotropic medium in the absence of mass forces and with zero initial conditions. We assume that, on one of
the layer boundaries, the normal stresses are given in the form of the Dirac delta function, the tangential stresses are zero,
and the second boundary is rigidly fixed. The problem is solved by using the Laplace transform with respect to time and the
Fourier transform with respect to the longitudinal coordinate. The normal displacements at an arbitrary point are obtained
in the form of finite sums. |
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Keywords: | |
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