Abstract
General continuous topology design formulations based on families of classical Voigt and Reuss mixing assumptions are developed and applied to solve the multiple material layout problem for the design of high stiffness/high strength composites. In the novel design framework, computational homogenization is employed to compute stiffness and strength characteristics of individual composite designs. Alternative design formulations for both high stiffness and high strength are investigated along with design sensitivity analysis algorithms. Demonstrative material design problems for boron-epoxy and graphite-epoxy composites are solved with robust sequential quadratic programming (SQP) techniques.
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Swan, C.C., Arora, J.S. Topology design of material layout in structured composites of high stiffness and strength. Structural Optimization 13, 45–59 (1997). https://doi.org/10.1007/BF01198375
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DOI: https://doi.org/10.1007/BF01198375