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＜電子ブック＞
Mathematical Analysis of Thin Plate Models / by Philippe Destuynder, Michel Salaun
(Mathématiques et Applications. ISSN:21983275 ; 24)

版	1st ed. 1996.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1996
本文言語	英語
大きさ	X, 236 p. 39 illus : online resource
著者標目	*Destuynder, Philippe author Salaun, Michel author SpringerLink (Online service)
件　名	LCSH:Numerical analysis LCSH:Mechanics, Applied LCSH:Computational intelligence FREE:Numerical Analysis FREE:Engineering Mechanics FREE:Computational Intelligence
一般注記	I — Plate models for thin structures -- I.0 — A short description of the chapter -- I.1 — The three dimensionnal elastic-model -- I.2 — The Kirchhoff-Love assumption -- I.3 — The Kirchhof f-Love plate model -- I.4 — The Naghdi model revisited using mixed variational formulation -- I.5 — About the rest of the book -- References of Chapter I -- II — Variational formulations for bending plates -- II.0 — A brief summary of the chapter -- II. 1 — Why a mixed formulation for plates -- II.2 — The primal variational formulation for Kirchhoff-Love model -- II.3 — The Reissner-Mindlin-Naghdi model for plates -- II.4 — Natural duality techniques for the bending plate model -- II.5 — A comparison between the mixed method and the one of section II.2.4 -- References of Chapter II -- III — Finite element approximations for several plate models -- III.0 — A summary of the chapter -- III. 1 — Basic results in finite element approximation -- III.2 — C1 elements -- III.3 — Primal finite element methods for bending plates -- III.4 — The penalty-duality finite element method for the bending plate model -- III.5 — Numerical approximation of the mixed formulation for a bending plate -- References of Chapter III -- IV — Numerical tests for the mixed finite element schemes -- IV.0 — A brief description of the chapter -- IV. 1 — Precision tests for the mixed formulation -- IV.2 Vectorial and parallel algorithms for mixed elements -- IV.3 — Concluding remarks -- References of Chapter IV -- V — A Numerical model for delamination of composite plates -- V.O — A brief description of the chapter -- V. 1 — What is delamination of thin multilayered plates -- V.2 — The three-dimensional multilayered composite plate model with delamination -- V.3 — A plate model for largedelamination -- V.4 — The three-dimensional energy release rate -- V.5 — The mechanical example and the numerical method -- V.6 — Concluding remarks -- References of Chapter V Ce livre est destiné aux enseignants, chercheurs et étudiants désireux de se familiariser avec les différents modèles de plaques minces et d'en maîtriser les problèmes mathématiques et d'approximation sous-jacents. Il contient essentiellement des résultats nouveaux et des applications originales à l'étude du délaminage des structures multicouche. La démarche est guidée par un souci de mettre en avant les points délicats dans la théorie des plaques minces HTTP:URL=https://doi.org/10.1007/978-3-642-51761-7

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