THE RAYLEIGH MULTIPOLE METHOD FOR LINEAR ELASTICITY

Citation
Rc. Mcphedran et Ab. Movchan, THE RAYLEIGH MULTIPOLE METHOD FOR LINEAR ELASTICITY, Journal of the mechanics and physics of solids, 42(5), 1994, pp. 711-727
Citations number
10
Categorie Soggetti
Physics, Condensed Matter",Mechanics
ISSN journal
00225096
Volume
42
Issue
5
Year of publication
1994
Pages
711 - 727
Database
ISI
SICI code
0022-5096(1994)42:5<711:TRMMFL>2.0.ZU;2-O
Abstract
A PLANE-STRAIN elasticity problem is studied by means of an adaptation of the Rayleigh multipole method for a domain with a set of circular elastic inclusions. The complex potentials of Kolosov-Muskhelishvili a re obtained in the form of Laurent series outside the inclusions. The results of the calculation of the multipole coefficients have been com pared with those obtained by means of an integral approximation for tw o cases: a pair of identical inclusions and a square array of inclusio ns.