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Volume 18, Issue 4
Asymptotic Analysis of Shells via Γ-Convergence

Karine Genevey

J. Comp. Math., 18 (2000), pp. 337-352.

Published online: 2000-08

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  • Abstract

We give a new justification of the linear membrane and flexural shell models. We prove that the sequence of scaled energy functionals associated with the scaled problem Γ-converges to the energy functional associated with a two-dimensional model. This two-dimensional model is a membrane or flexural one, depending on the geometric and kinematic conditions. Then, a classical argument allows to give a new proof of the convergence theorems recently obtained by P.G. Ciarlet, V. Lods and B. Miara.

  • Keywords

Γ-converges, linear elastic shell.

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-337, author = {Karine Genevey}, title = {Asymptotic Analysis of Shells via Γ-Convergence}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {4}, pages = {337--352}, abstract = {

We give a new justification of the linear membrane and flexural shell models. We prove that the sequence of scaled energy functionals associated with the scaled problem Γ-converges to the energy functional associated with a two-dimensional model. This two-dimensional model is a membrane or flexural one, depending on the geometric and kinematic conditions. Then, a classical argument allows to give a new proof of the convergence theorems recently obtained by P.G. Ciarlet, V. Lods and B. Miara.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9047.html} }
TY - JOUR T1 - Asymptotic Analysis of Shells via Γ-Convergence AU - Karine Genevey JO - Journal of Computational Mathematics VL - 4 SP - 337 EP - 352 PY - 2000 DA - 2000/08 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9047.html KW - Γ-converges, linear elastic shell. AB -

We give a new justification of the linear membrane and flexural shell models. We prove that the sequence of scaled energy functionals associated with the scaled problem Γ-converges to the energy functional associated with a two-dimensional model. This two-dimensional model is a membrane or flexural one, depending on the geometric and kinematic conditions. Then, a classical argument allows to give a new proof of the convergence theorems recently obtained by P.G. Ciarlet, V. Lods and B. Miara.

Karine Genevey. (2000). Asymptotic Analysis of Shells via Γ-Convergence. Journal of Computational Mathematics. 18 (4). 337-352. doi:
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