[Sur les conditions de compatibilité de Saint Venant et le lemme de Poincaré]
Le théorème de Saint Venant constitue une caractérisation classique de champs de matrices réguliers comme des champs de tenseurs de déformation linéarisés. Ce théorème a été étendu aux champs de matrices avec des composantes dans
Saint Venant's theorem constitutes a classical characterization of smooth matrix fields as linearized strain tensor fields. This theorem has been extended to matrix fields with components in
Accepté le :
Publié le :
Cherif Amrouche 1 ; Philippe G. Ciarlet ; Liliana Gratie 2 ; Srinivasan Kesavan 3
@article{CRMATH_2006__342_11_887_0,
author = {Cherif Amrouche and Philippe G. Ciarlet and Liliana Gratie and Srinivasan Kesavan},
title = {On {Saint} {Venant's} compatibility conditions and {Poincar\'e's} lemma},
journal = {Comptes Rendus. Math\'ematique},
pages = {887--891},
publisher = {Elsevier},
volume = {342},
number = {11},
year = {2006},
doi = {10.1016/j.crma.2006.03.026},
language = {en},
}
TY - JOUR AU - Cherif Amrouche AU - Philippe G. Ciarlet AU - Liliana Gratie AU - Srinivasan Kesavan TI - On Saint Venant's compatibility conditions and Poincaré's lemma JO - Comptes Rendus. Mathématique PY - 2006 SP - 887 EP - 891 VL - 342 IS - 11 PB - Elsevier DO - 10.1016/j.crma.2006.03.026 LA - en ID - CRMATH_2006__342_11_887_0 ER -
%0 Journal Article %A Cherif Amrouche %A Philippe G. Ciarlet %A Liliana Gratie %A Srinivasan Kesavan %T On Saint Venant's compatibility conditions and Poincaré's lemma %J Comptes Rendus. Mathématique %D 2006 %P 887-891 %V 342 %N 11 %I Elsevier %R 10.1016/j.crma.2006.03.026 %G en %F CRMATH_2006__342_11_887_0
Cherif Amrouche; Philippe G. Ciarlet; Liliana Gratie; Srinivasan Kesavan. On Saint Venant's compatibility conditions and Poincaré's lemma. Comptes Rendus. Mathématique, Volume 342 (2006) no. 11, pp. 887-891. doi : 10.1016/j.crma.2006.03.026. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.03.026/
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