Stress analysis and contact problems for an elastic quarter-plane

M. T. Hanson; L. M. Keer

doi:10.1093/qjmam/42.3.364

Stress analysis and contact problems for an elastic quarter-plane

M. T. Hanson
, L. M. Keer

Mechanical and Aerospace Engineering

Producción científica: Article › revisión exhaustiva

20 Citas (Scopus)

Resumen

An integral-equation formulation is used to study the stress analysis and related contact problems for an elastic quarter-plane. The quarter-plane under conditions of general loading may be separated into two loading situations: one with normal stress and the other with shear. The same pair of coupled integral equations governs each case, and a formal solution is obtained using the Mellin transform. Fundamental solutions are determined for a point normal and shear load. An integral equation for the related contact problem is developed which contains a generalized Cauchy kernel; its effect on the field singularity at the corner is investigated. The magnitude of the stress at the corner for the case of a rigid contact extending to the corner is found in closed form.

Idioma original	English
Páginas (desde-hasta)	364-383
Número de páginas	20
Publicación	Quarterly Journal of Mechanics and Applied Mathematics
Volumen	42
N.º	3
DOI	https://doi.org/10.1093/qjmam/42.3.364
Estado	Published - ago 1989

Nota bibliográfica

Funding Information:
The work reported in this paper is under the auspices of the Center for Engineering Tribology jointly supported by the National Science Foundation under grant ISI-8425521 and the industrial consortium at Northwestern University. Support under NSF grant EAR-8707392 is also gratefully acknowledged.

Financiación

The work reported in this paper is under the auspices of the Center for Engineering Tribology jointly supported by the National Science Foundation under grant ISI-8425521 and the industrial consortium at Northwestern University. Support under NSF grant EAR-8707392 is also gratefully acknowledged.

Financiadores	Número del financiador
National Science Foundation (NSF)	ISI-8425521, EAR-8707392
Northwestern Polytechnical University

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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title = "Stress analysis and contact problems for an elastic quarter-plane",

abstract = "An integral-equation formulation is used to study the stress analysis and related contact problems for an elastic quarter-plane. The quarter-plane under conditions of general loading may be separated into two loading situations: one with normal stress and the other with shear. The same pair of coupled integral equations governs each case, and a formal solution is obtained using the Mellin transform. Fundamental solutions are determined for a point normal and shear load. An integral equation for the related contact problem is developed which contains a generalized Cauchy kernel; its effect on the field singularity at the corner is investigated. The magnitude of the stress at the corner for the case of a rigid contact extending to the corner is found in closed form.",

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N2 - An integral-equation formulation is used to study the stress analysis and related contact problems for an elastic quarter-plane. The quarter-plane under conditions of general loading may be separated into two loading situations: one with normal stress and the other with shear. The same pair of coupled integral equations governs each case, and a formal solution is obtained using the Mellin transform. Fundamental solutions are determined for a point normal and shear load. An integral equation for the related contact problem is developed which contains a generalized Cauchy kernel; its effect on the field singularity at the corner is investigated. The magnitude of the stress at the corner for the case of a rigid contact extending to the corner is found in closed form.

AB - An integral-equation formulation is used to study the stress analysis and related contact problems for an elastic quarter-plane. The quarter-plane under conditions of general loading may be separated into two loading situations: one with normal stress and the other with shear. The same pair of coupled integral equations governs each case, and a formal solution is obtained using the Mellin transform. Fundamental solutions are determined for a point normal and shear load. An integral equation for the related contact problem is developed which contains a generalized Cauchy kernel; its effect on the field singularity at the corner is investigated. The magnitude of the stress at the corner for the case of a rigid contact extending to the corner is found in closed form.

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Stress analysis and contact problems for an elastic quarter-plane

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