A Galerkin boundary integral method for nonhomogeneous materials with cracks

J. Wang, S. G. Mogilevskaya, S. L. Crouch

Research output: Chapter in Book/Report/Conference proceedingConference contribution

14 Scopus citations

Abstract

This paper describes a numerical technique for modeling large numbers of circular inclusions, circular holes, and straight cracks in an infinite elastic solid. The analysis is based on a complex hypersingular integral equation that is written directly in terms of the displacement discontinuities and tractions at the boundaries. The tractions along the boundaries of the inclusions and the displacements along the boundaries of the holes are represented by truncated complex Fourier series, and series of Chebyshev polynomials are used to approximate the displacement discontinuity distributions along the cracks. A Galerkin (weighted residual) procedure is adopted to develop the system of simultaneous linear algebraic equations for the overall problem, and a Gauss-Scidel algorithm is used to solve this system. Two numerical examples are given to demonstrate the effectiveness of this approach.

Original languageEnglish (US)
Title of host publicationDC Rocks 2001 - 38th U.S. Symposium on Rock Mechanics (USRMS)
Editors Elsworth, Tinucci, Heasley
PublisherAmerican Rock Mechanics Association (ARMA)
Pages1453-1460
Number of pages8
ISBN (Print)9026518277, 9789026518270
StatePublished - 2001
Event38th U.S. Symposium on Rock Mechanics, DC Rocks 2001 - Washington, United States
Duration: Jul 7 2001Jul 10 2001

Publication series

NameDC Rocks 2001 - 38th U.S. Symposium on Rock Mechanics (USRMS)

Other

Other38th U.S. Symposium on Rock Mechanics, DC Rocks 2001
CountryUnited States
CityWashington
Period7/7/017/10/01

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    Wang, J., Mogilevskaya, S. G., & Crouch, S. L. (2001). A Galerkin boundary integral method for nonhomogeneous materials with cracks. In Elsworth, Tinucci, & Heasley (Eds.), DC Rocks 2001 - 38th U.S. Symposium on Rock Mechanics (USRMS) (pp. 1453-1460). (DC Rocks 2001 - 38th U.S. Symposium on Rock Mechanics (USRMS)). American Rock Mechanics Association (ARMA).