Abstract
This paper deals with the problem of maximizing or minimizing the integral stiffness of a linearly elastic fiber reinforced composite disc of given domain and with given boundary conditions and in-plane loading along the edge. The local concentrations and directions of one or two fields of fibers are used as design variables, and the amounts of available fiber and matrix materials are defined via a prescribed bound on the total cost or weight of the disc.
Solutions to this non-linear optimization problem are obtained by means of an iterative, two-level procedure based on an optimality criterion approach and a method of mathematical programming using analytical sensitivity analysis. The analysis of the composite structure is performed with the aid of the finite element program MODULEF. The disc is assumed to be in plane stress and a simple law relating fiber concentration, orientation, materials data and the elastic moduliA kl is used. A number of illustrative examples are presented at the end of the paper.
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Thomsen, J. Optimization of composite discs. Structural Optimization 3, 89–98 (1991). https://doi.org/10.1007/BF01743277
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DOI: https://doi.org/10.1007/BF01743277