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Zbl 1243.74139
Guedes, José Miranda; Rodrigues, Helder Carrico; Bendsøe, Martin Philip
A material optimization model to approximate energy bounds for cellular materials under multiload conditions. (English)
[J] Struct. Multidiscip. Optim. 25, No. 5-6, 446-452 (2003). ISSN 1615-147X; ISSN 1615-1488/e

Summary: This paper describes a computational model, based on inverse homogenization and topology design, for approximating energy bounds for two-phase composites under multiple load cases. The approach allows for the identification of possible single-scale cellular materials that give rise to the optimal bounds within this class of composites. A comparison of the computational results with the globally optimal bounds given via rank-N layered composites illustrates the behaviour for tension and shear load situations, as well as the importance of considering the shape of the basic unit cell as part of the design process.

MSC 2000:: *74P05 Compliance or weight optimization
74Q05 Homogenization in equilibrium problems

Keywords: homogenization; energy bounds; material optimization

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