Normal compression waves scattering at a flat annular crack in an infinite elastic solid

Shindo, Yasuhide

doi:10.1090/qam/636237

Author: Yasuhide Shindo
Journal: Quart. Appl. Math. 39 (1981), 305-315
MSC: Primary 73D99; Secondary 73M05
DOI: https://doi.org/10.1090/qam/636237
MathSciNet review: 636237
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Abstract: The Hankel transform is used to obtain a complete solution for the dynamic stresses and displacements around a flat annular surface of a crack embedded in an infinite elastic solid, which is excited by normal compression waves. The singular stresses near the crack tips are obtained in closed elementary forms, while the magnitude of these stresses, governed by the dynamic stress-intensity factors, is calculated numerically from a singular integral equation of the first kind. The variations of the dynamic stress-intensity factors with the normalized frequency for the ratio of the inner radius to the outer one and Poisson’s ratio are shown graphically.

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