Dérivation de la théorie non linéaire des coques en flexion à partir de l'élasticité non linéaire tridimensionelle par Gamma-convergence

Gero Friesecke; Richard D. James; Maria Giovanna Mora; Stefan Müller

doi:10.1016/S1631-073X(03)00028-1

Dérivation de la théorie non linéaire des coques en flexion à partir de l'élasticité non linéaire tridimensionelle par Gamma-convergence

Translated title of the contribution: Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence

Gero Friesecke, Richard D. James, Maria Giovanna Mora, Stefan Müller

Aerospace Engineering and Mechanics

Research output: Contribution to journal › Article › peer-review

126 Scopus citations

Abstract

We show that the nonlinear bending theory of shells arises as a Γ-limit of three-dimensional nonlinear elasticity.

Translated title of the contribution	Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence
Original language	French
Pages (from-to)	697-702
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	336
Issue number	8
DOIs	https://doi.org/10.1016/S1631-073X(03)00028-1
State	Published - Apr 15 2003

Bibliographical note

Funding Information:
RDJ thanks AFOSR/MURI (F49620-98-1-0433), NSF (DMS-0074043) and ONR (ONR/UMD/Z897101) for supporting this work. GF, MGM and SM were partially supported by the TMR network FMRX-CT98-0229.

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title = "D{\'e}rivation de la th{\'e}orie non lin{\'e}aire des coques en flexion {\`a} partir de l'{\'e}lasticit{\'e} non lin{\'e}aire tridimensionelle par Gamma-convergence",

abstract = "We show that the nonlinear bending theory of shells arises as a Γ-limit of three-dimensional nonlinear elasticity.",

author = "Gero Friesecke and James, {Richard D.} and Mora, {Maria Giovanna} and Stefan M{\"u}ller",

note = "Funding Information: RDJ thanks AFOSR/MURI (F49620-98-1-0433), NSF (DMS-0074043) and ONR (ONR/UMD/Z897101) for supporting this work. GF, MGM and SM were partially supported by the TMR network FMRX-CT98-0229.",

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AU - Mora, Maria Giovanna

AU - Müller, Stefan

N1 - Funding Information: RDJ thanks AFOSR/MURI (F49620-98-1-0433), NSF (DMS-0074043) and ONR (ONR/UMD/Z897101) for supporting this work. GF, MGM and SM were partially supported by the TMR network FMRX-CT98-0229.

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Dérivation de la théorie non linéaire des coques en flexion à partir de l'élasticité non linéaire tridimensionelle par Gamma-convergence

Abstract

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