Lj. Alvarezvazquez et Jm. Viano, MODELING AND OPTIMIZATION OF NONSYMMETRICAL PLATES, Modelisation mathematique et analyse numerique, 31(6), 1997, pp. 733-763
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.