On rigid displacements and their relation to the infinitesimal rigid displacement lemma in three-dimensional elasticity

被引：3

作者：

Ciarlet, PG

Mardare, C

机构：

[1] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

[2] Univ Paris 06, Lab Jacques Louis Lions, F-75005 Paris, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2003年 / 336卷 / 10期

关键词：

D O I：

10.1016/S1631-073X(03)00191-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Omega be an open connected subset of R-3 and let Theta be an immersion from Omega into R-3. It is established that the set formed by all rigid displacements of the open set Theta (Omega) is a submanifold of dimension 6 and of class C-infinity of the space H-1 (Omega). It is also shown that the infinitesimal rigid displacements of the same set Theta (Omega) span the tangent space at the origin to this submanifold. (C) 2003 Academie des sciences. Published by Editions scientifiques et medicales Elsevier SAS. All rights reserved.

引用

页码：873 / 878

页数：6

共 7 条

[1]

Abraham R., 2012, Manifolds, tensor analysis, and applications, V75

[2]

Ciarlet P.G., 2000, MATH ELASTICITY, V3

[3] On the recovery of a surface with prescribed first and second fundamental forms [J].

Ciarlet, PG ;

Larsonneur, F .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2002, 81 (02) :167-185

[4]

CIARLET PG, IN PRESS C R ACAD 1

[5]

CIARLET PG, IN PRESS MATH MODELS

[6] A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity [J].

Friesecke, G ;

James, RD ;

Müller, S .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2002, 55 (11) :1461-1506

[7]

Reshetnyak Y., 1967, SIBERIAN MATH J, V8, P69, DOI DOI 10.1007/BF01040573

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