NORMAL COMPRESSION WAVES SCATTERING AT A FLAT ANNULAR CRACK IN AN INFINITE ELASTIC SOLID.

Yasuhide Shindo

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)305-315
Number of pages11
JournalQuarterly of Applied Mathematics
Volume39
Issue number3
DOIs
Publication statusPublished - 1981 Jan 1

ASJC Scopus subject areas

  • Applied Mathematics

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