STRESS ANALYSIS AND CONTACT PROBLEMS FOR AN ELASTIC QUARTER-PLANE
- 1 January 1989
- journal article
- Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics
- Vol. 42 (3) , 364-383
- https://doi.org/10.1093/qjmam/42.3.364
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.Keywords
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