AN ASYMPTOTIC MODEL OF A MEMBRANE AND A STRING

Authors
KOLPAKOV AG SHEREMET IG
Citation
Ag. Kolpakov et Ig. Sheremet, AN ASYMPTOTIC MODEL OF A MEMBRANE AND A STRING, Journal of applied mathematics and mechanics, 61(5), 1997, pp. 817-824
Citations number
19
Journal title
Journal of applied mathematics and mechanics → ACNP
ISSN journal
00218928
Volume
61
Issue
5
Year of publication
1997
Pages
817 - 824
Database
ISI
SICI code
0021-8928(1997)61:5<817:AAMOAM>2.0.ZU;2-#
Abstract
A three-dimensional problem in the theory of elasticity of a stressed solid in a domain of small thickness (diameter) is converted into a pr oblem in the theory of membranes (strings). The averaged problems obta ined enable one to describe membranes (strings) with inhomogeneities o f a size comparable with their thickness. The problems are analysed us ing the asymptotic method of averaging. (C) 1998 Elsevier Science Ltd. All rights reserved.