OPTIMATION OF MATERIAL PROPERTIES FOR MINDLIN PLATE DESIGN

As an extension of recent work by Bendsoe et al. (1993) on the simulta neous optimization of material and structure, the optimal design of Mi ndlin plates is considered. Material properties are represented as ele ments of the unrestricted set of positive semi-definite constitutive t ensors of the plate, the objective is the compliance and a resource co nstraint is measured as the 2-norm of the constitutive tensors is incl uded. The optimized material properties are derived analytically. The optimization of the layout of the material leads to a sizing problem o f structural optimization involving a non-linear, non-smooth elasticit y analysis.