@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} }