THE POLYA-SZEGO MATRICES IN ASYMPTOTIC MODELS OF DILUTE COMPOSITES

Authors
MOVCHAN AB SERKOV SK
Citation
Ab. Movchan et Sk. Serkov, THE POLYA-SZEGO MATRICES IN ASYMPTOTIC MODELS OF DILUTE COMPOSITES, European journal of applied mathematics, 8, 1997, pp. 595-621
Citations number
18
Journal title
European journal of applied mathematics → ACNP
ISSN journal
09567925
Volume
8
Year of publication
1997
Part
6
Pages
595 - 621
Database
ISI
SICI code
0956-7925(1997)8:<595:TPMIAM>2.0.ZU;2-4
Abstract
The Polya-Szego dipole tensors are employed for the analysis of plane elasticity problems in non-homogeneous media. Classes of equivalence f or defects (cavities and rigid inclusions) are specified for the Lapla cian operator and elasticity equations: composite materials with defec ts of the same class have the same effective elastic moduli. Explicit asymptotic formulae for effective compliance matrices of dilute compos ites are presented.