STRESS SINGULARITY AT THE CORNER OF A WEDGE-SHAPED CRACK OR INCLUSION.

K. S. Parihar; Leon M Keer

STRESS SINGULARITY AT THE CORNER OF A WEDGE-SHAPED CRACK OR INCLUSION.

K. S. Parihar^*, Leon M Keer

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

The problems of shear loading of a crack having a wedge-shaped planform and of a planar, wedge-shaped inclusion are considered. A Green's function formulation is used and the problem of finding the corner stress singularity is reduced to an eigenvalue problem of a simultaneous pair of singular integral equations. For large crack angles the integral equations can be solved and an approximate equation for the eigenvalue derived. The integral equations are solved numerically for the general case.

Original language	English (US)
Journal	American Society of Mechanical Engineers (Paper)
Issue number	78 -WA/APM-6
State	Published - Jan 1 1978
Event	Unknown conference - Duration: Dec 10 1978 → Dec 15 1978

ASJC Scopus subject areas

Mechanical Engineering

Cite this

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title = "STRESS SINGULARITY AT THE CORNER OF A WEDGE-SHAPED CRACK OR INCLUSION.",

abstract = "The problems of shear loading of a crack having a wedge-shaped planform and of a planar, wedge-shaped inclusion are considered. A Green's function formulation is used and the problem of finding the corner stress singularity is reduced to an eigenvalue problem of a simultaneous pair of singular integral equations. For large crack angles the integral equations can be solved and an approximate equation for the eigenvalue derived. The integral equations are solved numerically for the general case.",

author = "Parihar, {K. S.} and Keer, {Leon M}",

year = "1978",

month = jan,

day = "1",

language = "English (US)",

journal = "American Society of Mechanical Engineers (Paper)",

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AU - Parihar, K. S.

AU - Keer, Leon M

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Y1 - 1978/1/1

N2 - The problems of shear loading of a crack having a wedge-shaped planform and of a planar, wedge-shaped inclusion are considered. A Green's function formulation is used and the problem of finding the corner stress singularity is reduced to an eigenvalue problem of a simultaneous pair of singular integral equations. For large crack angles the integral equations can be solved and an approximate equation for the eigenvalue derived. The integral equations are solved numerically for the general case.

AB - The problems of shear loading of a crack having a wedge-shaped planform and of a planar, wedge-shaped inclusion are considered. A Green's function formulation is used and the problem of finding the corner stress singularity is reduced to an eigenvalue problem of a simultaneous pair of singular integral equations. For large crack angles the integral equations can be solved and an approximate equation for the eigenvalue derived. The integral equations are solved numerically for the general case.

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M3 - Conference article

AN - SCOPUS:85069394423

SN - 0402-1215

JO - American Society of Mechanical Engineers (Paper)

JF - American Society of Mechanical Engineers (Paper)

IS - 78 -WA/APM-6

T2 - Unknown conference

Y2 - 10 December 1978 through 15 December 1978

ER -

STRESS SINGULARITY AT THE CORNER OF A WEDGE-SHAPED CRACK OR INCLUSION.

Abstract

ASJC Scopus subject areas

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