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.
| Original language | English |
|---|---|
| Pages (from-to) | 364-383 |
| Number of pages | 20 |
| Journal | Quarterly Journal of Mechanics and Applied Mathematics |
| Volume | 42 |
| Issue number | 3 |
| DOIs | |
| State | Published - Aug 1989 |
Bibliographical note
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.
Funding
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.
| Funders | Funder number |
|---|---|
| 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