Application of boundary integral equations to the solution of stresses around a shallow circular hole

G. Fainstein, A. Sidi, M. Israeli, Y. Tsur-Lavie

Research output: Contribution to conferencePaperpeer-review

2 Scopus citations

Abstract

A method for stress calculation around a shallow circular opening is presented. The model used consists of a circular plate, containing an eccentric circular hole, which is subjected to uniform horizontal traction. The elastic problem is formulated by a system of integral equations using potential functions. The integrals in the equation system and the rest of the problem contain kernels which are singular or weakly singular. In the solution of the equation system and the computation of stresses a new accurate numerical quadrature method is used. The method is applicable when the integrals are periodic. Therefore, the original model consisting of a shallow circular opening in an infinite half plane is converted into one of stresses within a circular plate containing an eccentric circular opening. Comparison of calculated stresses with Mindlin's analytical solution, shows an error smaller than 1.5% over most of the circular opening.

Original languageEnglish
Pages745-754
Number of pages10
StatePublished - 1987
Externally publishedYes
Event28th U.S. Symposium on Rock Mechanics, USRMS 1987 - Tucson, United States
Duration: 29 Jun 19871 Jul 1987

Conference

Conference28th U.S. Symposium on Rock Mechanics, USRMS 1987
Country/TerritoryUnited States
CityTucson
Period29/06/871/07/87

Bibliographical note

Publisher Copyright:
© 28th U.S. Symposium on Rock Mechanics, USRMS 1987. All rights reserved.

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