A Galerkin boundary integral method for multiple circular elastic inclusions

Citation
Sg. Mogilevskaya et Sl. Crouch, A Galerkin boundary integral method for multiple circular elastic inclusions, INT J NUM M, 52(10), 2001, pp. 1069-1106
Citations number
31
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN journal
00295981 → ACNP
Volume
52
Issue
10
Year of publication
2001
Pages
1069 - 1106
Database
ISI
SICI code
0029-5981(200112)52:10<1069:AGBIMF>2.0.ZU;2-V
Abstract
The problem of an infinite, isotropic elastic plane containing an arbitrary number of circular elastic inclusions is considered. The analysis procedur e is based on the use of a complex singular integral equation. The unknown tractions at each circular boundary are approximated by a truncated complex Fourier series. A system of linear algebraic equations is obtained by usin g the classical Galerkin method and the Gauss-Seidel algorithm is used to s olve the system. Several numerical examples are considered to demonstrate t he effectiveness of the approach. Copyright (C) 2001 John Wiley & Sons, Ltd .