Constrained envelope for a general class of design problems

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2003, 2003(Special): 30-41. doi: 10.3934/proc.2003.2003.30

Constrained envelope for a general class of design problems

Ernesto Aranda ^1, and Pablo Pedregal ^2,

1.	E.T.S. Ingenieros Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain
2.	E.T.S. Ingenieros Industriales, Universidad de Castilla La Mancha

Received July 2002 Published April 2003

Abstract
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We analyze the relaxation and computation of the relaxed density when we reformulate a typical optimal design problem with volume constraint in two dimension as a fully vector variational problem. Our aim is to examine a general cost functional depending explicitly on all variables and in particular in the gradient variable, and see how far computations and properties of the relaxed integrand can be pushed.

Keywords: constrained quasiconvexification., relaxation, Optimal design.

Mathematics Subject Classification: 49J45, 74P1.

Citation: Ernesto Aranda, Pablo Pedregal. Constrained envelope for a general class of design problems. Conference Publications, 2003, 2003 (Special) : 30-41. doi: 10.3934/proc.2003.2003.30

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