Application of the Integral Equation Method to the Elastodynamic Boundary-value Problems

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In this paper, the integral equation method is presented to be applied to plane-strain boundary-value problems of an elastic body. That is, by solving Fredholm integral equations derived from equilibrium equations, static stresses under uniform tensile field and dynamic stresses due to time-harmonic plane P and SV waves, around various cross-sectional cavities in an infinite elastic medium, were analysed and numerical calculations were carried out. Especially, with respect to dynamic problems, it was shown that this method could deal with arbitrary-shaped cavities which could not be solved by the Wave Function Expansion method. In addition, the influence of the curvature of cavities, the wave number of incident waves and the effect of Poisson's ratio of elastic medium, are presented.
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