Stress analysis and contact problems for an elastic quarter-plane

M. T. Hanson, L. M. Keer

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


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 languageEnglish
Pages (from-to)364-383
Number of pages20
JournalQuarterly Journal of Mechanics and Applied Mathematics
Issue number3
StatePublished - 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.

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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