MODELING AND OPTIMIZATION OF NONSYMMETRICAL PLATES

Citation
Lj. Alvarezvazquez et Jm. Viano, MODELING AND OPTIMIZATION OF NONSYMMETRICAL PLATES, Modelisation mathematique et analyse numerique, 31(6), 1997, pp. 733-763
Citations number
47
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
0764583X
Volume
31
Issue
6
Year of publication
1997
Pages
733 - 763
Database
ISI
SICI code
0764-583X(1997)31:6<733:MAOONP>2.0.ZU;2-T
Abstract
In the first part of this paper we present a limit model for non-symme tric elastic plates using an asymptotic method from three-dimensional elasticity and we prove existence and uniqueness of solution of this m odel. In the second part we try the shape optimization of the place, o btaining the existence of an optimal profile and proposing its numeric al solution by means of penalty methods.