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

Yasuhide Shindo

doi:10.1090/qam/636237

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

Yasuhide Shindo

ENG - Materials Processing

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	305-315
Number of pages	11
Journal	Quarterly of Applied Mathematics
Volume	39
Issue number	3
DOIs	https://doi.org/10.1090/qam/636237
Publication status	Published - 1981 Jan 1

ASJC Scopus subject areas

Applied Mathematics

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title = "NORMAL COMPRESSION WAVES SCATTERING AT A FLAT ANNULAR CRACK IN AN INFINITE ELASTIC SOLID.",

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.",

author = "Yasuhide Shindo",

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N2 - 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.

AB - 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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