TY - JOUR

T1 - A semi-analytical solution for multiple circular inhomogeneities in one of two joined isotropic elastic half-planes

AU - Brusselaars, Nicolas

AU - Mogilevskaya, Sofia

AU - Crouch, Steven L

PY - 2007/8/1

Y1 - 2007/8/1

N2 - The paper presents a semi-analytical method for solving the problem of two joined, dissimilar isotropic elastic half-planes, one of which contains a large number of arbitrary located, non-overlapping, perfectly bonded circular elastic inhomogeneities. In general, the inhomogeneities may have different elastic properties and sizes. The analysis is based on a solution of a complex singular integral equation with the unknown tractions at each circular boundary approximated by a truncated complex Fourier series. A system of linear algebraic equations is obtained by using a Taylor series expansion. Apart from round-off, the only errors introduced into the solution are due to truncation of the Fourier series. The resulting semi-analytical method allows one to calculate the elastic fields everywhere in the half-planes and inside the inhomogeneities. Numerical examples are included to demonstrate the effectiveness of the approach.

AB - The paper presents a semi-analytical method for solving the problem of two joined, dissimilar isotropic elastic half-planes, one of which contains a large number of arbitrary located, non-overlapping, perfectly bonded circular elastic inhomogeneities. In general, the inhomogeneities may have different elastic properties and sizes. The analysis is based on a solution of a complex singular integral equation with the unknown tractions at each circular boundary approximated by a truncated complex Fourier series. A system of linear algebraic equations is obtained by using a Taylor series expansion. Apart from round-off, the only errors introduced into the solution are due to truncation of the Fourier series. The resulting semi-analytical method allows one to calculate the elastic fields everywhere in the half-planes and inside the inhomogeneities. Numerical examples are included to demonstrate the effectiveness of the approach.

KW - Bonded half-planes

KW - Complex singular integral equation

KW - Elasticity

KW - Multiple circular inhomogeneities

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U2 - 10.1016/j.enganabound.2006.12.010

DO - 10.1016/j.enganabound.2006.12.010

M3 - Article

AN - SCOPUS:34347228132

VL - 31

SP - 692

EP - 705

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

SN - 0955-7997

IS - 8

ER -