American Institute of Mathematical Sciences

Advanced
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

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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