On the relaxation of an optimal design problem for plates

Article type: Research Article

Authors: Muñoz, Julio | Pedregal, Pablo

Affiliations: ETSI Industriales, Universidad de Castilla‐La Mancha, 13071 Ciudad Real, Spain

Abstract: A general approach to relaxation for an optimal design problem for plates is proposed. Generalized minimizers in terms of Young measures are found and an attempt to reduce the design variables needed for the description of these minimizers is pursued. We examine special representations of the convex hull of a particular curve in three space dimensions where its specific properties are exploited in a fundamental way in order to obtain different descriptions of generalized minimizers. We also find the optimal relaxation by further analyzing the features of that curve.

Journal: Asymptotic Analysis, vol. 16, no. 2, pp. 125-140, 1998