Nous montrons que la théorie Föppl–von Kármán des plaques émerge comme Γ-limite de la théorie de l'élasticité tridimensionnelle. La démonstration repose sur une generalisation aux derivées d'ordre supérieur de notre résultat de rigidité [5] que pour des fonctions
We show that the Föppl–von Kármán theory arises as a low energy Γ-limit of three-dimensional nonlinear elasticity. A key ingredient in the proof is a generalization to higher derivatives of our rigidity result [5] that for maps
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@article{CRMATH_2002__335_2_201_0, author = {Friesecke, Gero and James, Richard~D. and M\"uller, Stefan}, title = {The {F\"oppl{\textendash}von} {K\'arm\'an} plate theory as a low energy {\protect\emph{\ensuremath{\Gamma}}-limit} of nonlinear elasticity}, journal = {Comptes Rendus. Math\'ematique}, pages = {201--206}, publisher = {Elsevier}, volume = {335}, number = {2}, year = {2002}, doi = {10.1016/S1631-073X(02)02388-9}, language = {en}, url = {http://www.numdam.org/articles/10.1016/S1631-073X(02)02388-9/} }
TY - JOUR AU - Friesecke, Gero AU - James, Richard D. AU - Müller, Stefan TI - The Föppl–von Kármán plate theory as a low energy Γ-limit of nonlinear elasticity JO - Comptes Rendus. Mathématique PY - 2002 SP - 201 EP - 206 VL - 335 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/S1631-073X(02)02388-9/ DO - 10.1016/S1631-073X(02)02388-9 LA - en ID - CRMATH_2002__335_2_201_0 ER -
%0 Journal Article %A Friesecke, Gero %A James, Richard D. %A Müller, Stefan %T The Föppl–von Kármán plate theory as a low energy Γ-limit of nonlinear elasticity %J Comptes Rendus. Mathématique %D 2002 %P 201-206 %V 335 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/S1631-073X(02)02388-9/ %R 10.1016/S1631-073X(02)02388-9 %G en %F CRMATH_2002__335_2_201_0
Friesecke, Gero; James, Richard D.; Müller, Stefan. The Föppl–von Kármán plate theory as a low energy Γ-limit of nonlinear elasticity. Comptes Rendus. Mathématique, Tome 335 (2002) no. 2, pp. 201-206. doi : 10.1016/S1631-073X(02)02388-9. http://www.numdam.org/articles/10.1016/S1631-073X(02)02388-9/
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