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

Authors
Murat, F Sili, A
Citation
F. Murat et A. Sili, Asymptotic behavior of solutions of the anisotropic heterogeneous linearized elasticity system in thin cylinders, CR AC S I, 328(2), 1999, pp. 179-184
Citations number
16
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
328
Issue
2
Year of publication
1999
Pages
179 - 184
Database
ISI
SICI code
0764-4442(199901)328:2<179:ABOSOT>2.0.ZU;2-L
Abstract
We study the convergence ol the solution u(epsilon) of an anisotropic, hete rogeneous, linearized elasticity problem in a cylinder, the diameter of whi ch 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 specifie d), where (u,v,w) is the unique solution of an elliptic system of partial d ifferential equations. (C) Academie des Sciences/Elsevier, Paris.