Modeling and optimization of a non-symmetric plate
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
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