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 - <p style="text-align: justify;">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.</p>