The Torsional Impact Response of a Thick-Walled Cylinder with a Circumferential Edge Crack

Kenji Mikata; Yasuhide Shindo; Akira Atsumi

doi:10.1299/kikaia.52.519

The Torsional Impact Response of a Thick-Walled Cylinder with a Circumferential Edge Crack

Kenji Mikata, Yasuhide Shindo, Akira Atsumi

ENG - Materials Processing

Research output: Contribution to journal › Article › peer-review

Abstract

The torsional impact response of a thick-walled cylinder with a circumferential edge crack is considered. Laplace and Hankel transforms are used to reduce the elasto-dynamic problem to a pair of dual integral equations. The dual integral equations are solved by using an integral transform technique, and the result is expressed in terms of a singular integral equation of the first, kind. The kernel of the integral equation is improved in order that the calculation may be made easy. A numerical Laplace inversion routine is used to recover the time dependence of the solution. The dynamic singular stress field is determined, and the numerical results on the dynamic stress intensity factor are obtained to show the influence of inertia, geometry, and their interactions.

Original language	English
Pages (from-to)	519-524
Number of pages	6
Journal	Transactions of the Japan Society of Mechanical Engineers Series A
Volume	52
Issue number	474
DOIs	https://doi.org/10.1299/kikaia.52.519
Publication status	Published - 1986 Jan 1

Keywords

Circumferential Edge Crack
Dynamic Stress Intensity Factor
Elasticity
Singular Integral Equation
Thick-Walled Cylinder
Torsional Impact Response

ASJC Scopus subject areas

Materials Science(all)
Mechanics of Materials
Mechanical Engineering

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title = "The Torsional Impact Response of a Thick-Walled Cylinder with a Circumferential Edge Crack",

abstract = "The torsional impact response of a thick-walled cylinder with a circumferential edge crack is considered. Laplace and Hankel transforms are used to reduce the elasto-dynamic problem to a pair of dual integral equations. The dual integral equations are solved by using an integral transform technique, and the result is expressed in terms of a singular integral equation of the first, kind. The kernel of the integral equation is improved in order that the calculation may be made easy. A numerical Laplace inversion routine is used to recover the time dependence of the solution. The dynamic singular stress field is determined, and the numerical results on the dynamic stress intensity factor are obtained to show the influence of inertia, geometry, and their interactions.",

keywords = "Circumferential Edge Crack, Dynamic Stress Intensity Factor, Elasticity, Singular Integral Equation, Thick-Walled Cylinder, Torsional Impact Response",

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N2 - The torsional impact response of a thick-walled cylinder with a circumferential edge crack is considered. Laplace and Hankel transforms are used to reduce the elasto-dynamic problem to a pair of dual integral equations. The dual integral equations are solved by using an integral transform technique, and the result is expressed in terms of a singular integral equation of the first, kind. The kernel of the integral equation is improved in order that the calculation may be made easy. A numerical Laplace inversion routine is used to recover the time dependence of the solution. The dynamic singular stress field is determined, and the numerical results on the dynamic stress intensity factor are obtained to show the influence of inertia, geometry, and their interactions.

AB - The torsional impact response of a thick-walled cylinder with a circumferential edge crack is considered. Laplace and Hankel transforms are used to reduce the elasto-dynamic problem to a pair of dual integral equations. The dual integral equations are solved by using an integral transform technique, and the result is expressed in terms of a singular integral equation of the first, kind. The kernel of the integral equation is improved in order that the calculation may be made easy. A numerical Laplace inversion routine is used to recover the time dependence of the solution. The dynamic singular stress field is determined, and the numerical results on the dynamic stress intensity factor are obtained to show the influence of inertia, geometry, and their interactions.

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