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Issue ESAIM: Proc.
Volume 2, 1997
Elasticity, viscoelasticity and optimal control
Page(s) 215 - 224
DOI http://dx.doi.org/10.1051/proc:1997002

ESAIM: Proc., 1997, Vol. 2, pp. 215-224
DOI: 10.1051/proc:1997002

Modeling and optimization of a non-symmetric plate

Jose A. Alvarez-Vazquez1 and Juan M.Viano2

1  Departamento de Matematica Aplicada, ETSI Telecomunicacion, Universidad de Vigo, 36200 Spain
2  Departamento de Matematica Aplicada, Facultad de Matematicas Universidad de Santiago de Compostela 15706 Spain


Abstract
In the first part of this paper we present a limit model for non-symmetric elastic plates derived from three-dimensional elasticity by use of an asymptotic method and we prove existence and uniqueness of a solution of this model. In the second part we try the shape optimization of the plate, we obtain the existence of an optimal profile and we propose its numerical solution by means of penalty methods.



© EDP Sciences, ESAIM 1997

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