On reformule les conditions aux limites de Dirichlet satisfaites par le champ de déplacements de la surface moyenne d'une coque linéairement élastique comme des conditions aux limites satisfaites par les champs de tenseurs linéarisés de changement de métrique et de coubure correspondants. Ceci permet ensuite de donner une formulation intrinsèque du modèle linéaire de coques de W.T. Koiter avec ces deux champs de tenseurs comme seules inconnues.
We recast the Dirichlet boundary conditions satisfied by the displacement field of the middle surface of a linearly elastic shell as boundary conditions satisfied by the corresponding linearized change of metric and of curvature tensor fields. This in turn allows us to give an intrinsic formulation of the linear shell model of W.T. Koiter with these two tensor fields as the sole unknowns.
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@article{CRMATH_2018__356_11-12_1243_0, author = {Ciarlet, Philippe G. and Mardare, Cristinel}, title = {Intrinsic formulation of the displacement-traction problem in linear shell theory}, journal = {Comptes Rendus. Math\'ematique}, pages = {1243--1250}, publisher = {Elsevier}, volume = {356}, number = {11-12}, year = {2018}, doi = {10.1016/j.crma.2018.09.007}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2018.09.007/} }
TY - JOUR AU - Ciarlet, Philippe G. AU - Mardare, Cristinel TI - Intrinsic formulation of the displacement-traction problem in linear shell theory JO - Comptes Rendus. Mathématique PY - 2018 SP - 1243 EP - 1250 VL - 356 IS - 11-12 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2018.09.007/ DO - 10.1016/j.crma.2018.09.007 LA - en ID - CRMATH_2018__356_11-12_1243_0 ER -
%0 Journal Article %A Ciarlet, Philippe G. %A Mardare, Cristinel %T Intrinsic formulation of the displacement-traction problem in linear shell theory %J Comptes Rendus. Mathématique %D 2018 %P 1243-1250 %V 356 %N 11-12 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2018.09.007/ %R 10.1016/j.crma.2018.09.007 %G en %F CRMATH_2018__356_11-12_1243_0
Ciarlet, Philippe G.; Mardare, Cristinel. Intrinsic formulation of the displacement-traction problem in linear shell theory. Comptes Rendus. Mathématique, Tome 356 (2018) no. 11-12, pp. 1243-1250. doi : 10.1016/j.crma.2018.09.007. http://archive.numdam.org/articles/10.1016/j.crma.2018.09.007/
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