Separation of a smooth circular inclusion from a matrix

L. M. Keer; J. Dundurs; K. Kiattikomol

doi:10.1016/0020-7225(73)90086-4

Separation of a smooth circular inclusion from a matrix

L. M. Keer^*, J. Dundurs, K. Kiattikomol

^*Corresponding author for this work

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

39 Scopus citations

Abstract

The paper treats the separation of a smooth circular inclusion from a matrix, as the latter is deformed uniformly. Using finite integral transforms, the problem of finding the extent of separation and the contact pressure is reduced to the solution of a Fredholm integral equation with a weakly singular kernel. The singular part of the kernel can be removed and the equation made suitable for an effective numerical solution. Explicit results are given for general combinations of materials and several cases of loading.

Original language	English (US)
Pages (from-to)	1221-1233
Number of pages	13
Journal	International Journal of Engineering Science
Volume	11
Issue number	11
DOIs	https://doi.org/10.1016/0020-7225(73)90086-4
State	Published - Nov 1973
Externally published	Yes

ASJC Scopus subject areas

General Materials Science
Mechanics of Materials
General Engineering
Mechanical Engineering

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10.1016/0020-7225(73)90086-4

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abstract = "The paper treats the separation of a smooth circular inclusion from a matrix, as the latter is deformed uniformly. Using finite integral transforms, the problem of finding the extent of separation and the contact pressure is reduced to the solution of a Fredholm integral equation with a weakly singular kernel. The singular part of the kernel can be removed and the equation made suitable for an effective numerical solution. Explicit results are given for general combinations of materials and several cases of loading.",

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AU - Dundurs, J.

AU - Kiattikomol, K.

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N2 - The paper treats the separation of a smooth circular inclusion from a matrix, as the latter is deformed uniformly. Using finite integral transforms, the problem of finding the extent of separation and the contact pressure is reduced to the solution of a Fredholm integral equation with a weakly singular kernel. The singular part of the kernel can be removed and the equation made suitable for an effective numerical solution. Explicit results are given for general combinations of materials and several cases of loading.

AB - The paper treats the separation of a smooth circular inclusion from a matrix, as the latter is deformed uniformly. Using finite integral transforms, the problem of finding the extent of separation and the contact pressure is reduced to the solution of a Fredholm integral equation with a weakly singular kernel. The singular part of the kernel can be removed and the equation made suitable for an effective numerical solution. Explicit results are given for general combinations of materials and several cases of loading.

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Separation of a smooth circular inclusion from a matrix

Abstract

ASJC Scopus subject areas

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