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The Quarterly Journal of Mechanics and Applied Mathematics 1967 20(1):23-40; doi:10.1093/qjmam/20.1.23
© 1967 by Oxford University Press
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WAVE PROPAGATION IN AN INFINITE TRANSVERSELY ISOTROPIC ELASTIC SOLID

N. CAMERON{dagger} and G. EASON

( Mathematics Department, University of Strathclyde )

{dagger} Present address: Mathematics Department, University of Waikato, Hamilton, N.Z.

The particular problem of a point force which is suddenly applied at a point on the axis of symmetry of an infinite transversely isotropic elastic solid is considered. Using integral transforms, results are obtained in the form of integrals which may be evaluated by numerical methods. Numerical results, in the form of graphs, are presented for points in the plane on which the force acts. As is the case for an isotropic solid, discontinuities occur in the displacement for points in this plane. Under certain conditions these discontinuities may become infinitely great.


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