TY - JOUR

T1 - A complex boundary integral method for multiple circular holes in an infinite plane

AU - Wang, Jianlin

AU - Crouch, Steven L

AU - Mogilevskaya, Sofia

PY - 2003/9/1

Y1 - 2003/9/1

N2 - A complex boundary integral equation method, combined with series expansion technique, is presented for the problem of an infinite, isotropic elastic plane containing multiple circular holes. Loading is applied at infinity or on the boundaries of the holes. The sizes and locations of the holes are arbitrary provided they do not overlap. The analysis procedure is based on the use of a complex hypersingular integral equation that expresses a direct relationship between all the boundary tractions and displacements. The unknown displacements on each circular boundary are represented by truncated complex Fourier series, and all of the integrals involved in the complex integral equation are evaluated analytically. A system of linear algebraic equations is obtained by using a Taylor series expansion, and the block Gauss-Seidel algorithm is used to solve the system. Several numerical examples are considered to demonstrate the accuracy, versatility, and efficiency of the approach.

AB - A complex boundary integral equation method, combined with series expansion technique, is presented for the problem of an infinite, isotropic elastic plane containing multiple circular holes. Loading is applied at infinity or on the boundaries of the holes. The sizes and locations of the holes are arbitrary provided they do not overlap. The analysis procedure is based on the use of a complex hypersingular integral equation that expresses a direct relationship between all the boundary tractions and displacements. The unknown displacements on each circular boundary are represented by truncated complex Fourier series, and all of the integrals involved in the complex integral equation are evaluated analytically. A system of linear algebraic equations is obtained by using a Taylor series expansion, and the block Gauss-Seidel algorithm is used to solve the system. Several numerical examples are considered to demonstrate the accuracy, versatility, and efficiency of the approach.

KW - Complex Fourier series

KW - Complex boundary integral equation method

KW - Complex hypersingular integral equation

KW - Galerkin method

KW - Multiple circular holes

KW - Taylor series expansion

UR - http://www.scopus.com/inward/record.url?scp=0042029360&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042029360&partnerID=8YFLogxK

U2 - 10.1016/S0955-7997(03)00043-2

DO - 10.1016/S0955-7997(03)00043-2

M3 - Article

AN - SCOPUS:0042029360

VL - 27

SP - 789

EP - 802

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

SN - 0955-7997

IS - 8

ER -