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MiS Preprint
24/1998
Regularity and optimal design results for elastic membranes
Irene Fonseca
Abstract
The effective energy of a mixture of two elastic materials in a thin film is characterized using Gamma-limit techniques. For cylindrical shaped inclusions it is shown that 3D-2D asymptotics and optimal design commute from a variational viewpoint. Regularity of local minimizers for the resulting design is addressed.