Asymptotic behavior of solutions of the anisotropic heterogeneous linearized elasticity system in thin cylinders

被引：50
作者：
Murat, F
Sili, A
机构：
[1] Univ Paris 06, Anal Numer Lab, F-75252 Paris 05, France
[2] Univ Toulon & Var, Lab Anal Non Lineaire Appl, F-83957 La Garde, France
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1999年 / 328卷 / 02期
关键词：
D O I：
10.1016/S0764-4442(99)80159-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the convergence ol the solution u(epsilon) of an anisotropic, heterogeneous, linearized elasticity problem in a cylinder, the diameter of which tends to zero. We prove in particular that u(epsilon) - (u + epsilon v + epsilon(2)w) strongly converges to zero (in a sense which will be specified), where (u,v,w) is the unique solution of an elliptic system of partial differential equations. (C) Academie des Sciences/Elsevier, Paris.
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页码：179 / 184
页数：6
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