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

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

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

135 Scopus citations

Abstract

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

Original language	English (US)
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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10.1016/S1631-073X(03)00028-1

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title = "Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by 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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doi = "10.1016/S1631-073X(03)00028-1",

language = "English (US)",

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T1 - Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence

AU - Friesecke, Gero

AU - James, Richard D.

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.

PY - 2003/4/15

Y1 - 2003/4/15

N2 - We show that the nonlinear bending theory of shells arises as a Γ-limit of three-dimensional nonlinear elasticity.

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

UR - https://www.scopus.com/pages/publications/0038783154

UR - https://www.scopus.com/pages/publications/0038783154#tab=citedBy

U2 - 10.1016/S1631-073X(03)00028-1

DO - 10.1016/S1631-073X(03)00028-1

M3 - Article

AN - SCOPUS:0038783154

SN - 1631-073X

VL - 336

SP - 697

EP - 702

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 8

ER -

Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence

Abstract

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