THE RAYLEIGH MULTIPOLE METHOD FOR LINEAR ELASTICITY

被引：44

作者：

MCPHEDRAN, RC ^{[1
]}

MOVCHAN, AB ^{[1
]}

机构：

[1] UNIV BATH,SCH MATH SCI,BATH BA2 7AY,AVON,ENGLAND

来源：

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS | 1994年 / 42卷 / 05期

关键词：

D O I：

10.1016/0022-5096(94)90039-6

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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 are obtained in the form of Laurent series outside the inclusions. The results of the calculation of the multipole coefficients have been compared with those obtained by means of an integral approximation for two cases: a pair of identical inclusions and a square array of inclusions.

引用

页码：711 / 727

页数：17

共 10 条

[1]

[Anonymous], 1892, PHILOS MAG

[2] HIGH SHEAR STRESSES IN STIFF-FIBER COMPOSITES [J].

BUDIANSKY, B ;

CARRIER, GF .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1984, 51 (04) :733-735

[3]

CALLIAS CJ, 1993, Q APPL MATH, V11, P547

[4]

CHEN HS, 1978, INT J SOLIDS STRUCT, V14, P331, DOI 10.1016/0020-7683(78)90016-1

[5] ELASTIC BEHAVIOR OF COMPOSITE MEDIA [J].

FLAHERTY, JE ;

KELLER, JB .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1973, 26 (04) :565-580

[6] ON BONDED INCLUSIONS WITH CIRCULAR OR STRAIGHT BOUNDARIES IN PLANE ELASTOSTATICS [J].

HONEIN, T ;

HERRMANN, G .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1990, 57 (04) :850-856

[7]

Kantorovich L. V., 1962, APPROXIMATE METHODS

[8]

MAZYA VG, 1992, ASYMPTOTISCHE THEORI

[9]

MAZYA VG, 1991, ASYMPTOTISCHE THEORE

[10] ASYMPTOTIC STUDIES OF CLOSELY SPACED, HIGHLY CONDUCTING CYLINDERS [J].

MCPHEDRAN, RC ;

POLADIAN, L ;

MILTON, GW .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1988, 415 (1848) :185-196

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