Constrained envelope for a general class of design problems

Pages: 30 - 41, Issue Special, July 2003

 Abstract        Full Text (203.6K)              

Ernesto Aranda - E.T.S. Ingenieros Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain (email)
Pablo Pedregal - E.T.S. Ingenieros Industriales, Universidad de Castilla La Mancha, Spain (email)

Abstract: 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:  Optimal design, relaxation, constrained quasiconvexification.
Mathematics Subject Classification:  49J45, 74P10.

Received: July 2002; Published: April 2003.