[La théorie des plaques de Reissner–Mindlin via Γ-convergence]
We obtain the energy functional of Reissner–Mindlin plates as the Γ-limit of a family of three-dimensional energy functionals within the framework of second-order linear elasticity. The choice of the family of functionals, as well as of the candidate limiting functional, is guided by a formal scaling argument.
Nous obtenons la fonctionnelle de l'énergie de plaques de Reissner–Mindlin comme la Γ-limite d'une famille de fonctionnelles d'énergie tri-dimensionnelles dans le cadre de l'élasticité linéaire du second ordre. Les choix de la famille de fonctionnelles et de la fonctionnelle limite sont suggérés par l'étude formelle des mises à l'échelle.
Accepté le :
Publié le :
Roberto Paroni 1 ; Paolo Podio-Guidugli 2 ; Giuseppe Tomassetti 2
@article{CRMATH_2006__343_6_437_0,
author = {Roberto Paroni and Paolo Podio-Guidugli and Giuseppe Tomassetti},
title = {The {Reissner{\textendash}Mindlin} plate theory via {\protect\emph{\ensuremath{\Gamma}}-convergence}},
journal = {Comptes Rendus. Math\'ematique},
pages = {437--440},
publisher = {Elsevier},
volume = {343},
number = {6},
year = {2006},
doi = {10.1016/j.crma.2006.08.006},
language = {en},
}
TY - JOUR AU - Roberto Paroni AU - Paolo Podio-Guidugli AU - Giuseppe Tomassetti TI - The Reissner–Mindlin plate theory via Γ-convergence JO - Comptes Rendus. Mathématique PY - 2006 SP - 437 EP - 440 VL - 343 IS - 6 PB - Elsevier DO - 10.1016/j.crma.2006.08.006 LA - en ID - CRMATH_2006__343_6_437_0 ER -
Roberto Paroni; Paolo Podio-Guidugli; Giuseppe Tomassetti. The Reissner–Mindlin plate theory via Γ-convergence. Comptes Rendus. Mathématique, Volume 343 (2006) no. 6, pp. 437-440. doi : 10.1016/j.crma.2006.08.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.08.006/
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