Abstract
We study the shape optimization of a two-dimensional elastic body loaded in plane stress. The design criteria are compliance and weight. A relaxed formulation obtained by homogenization is used, whereby perforated composite materials are admitted as structural components. This approach has the advantage of placing no implicit restriction on the topology of the design. We compare our results with those of Bendsoe, Kikuchi, and Suzuki who used an approach similar to ours.
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© 1993 Springer Science+Business Media Dordrecht
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Allaire, G., Kohn, R.V. (1993). Topology Optimization and Optimal Shape Design Using Homogenization. In: Bendsøe, M.P., Soares, C.A.M. (eds) Topology Design of Structures. NATO ASI Series, vol 227. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1804-0_14
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DOI: https://doi.org/10.1007/978-94-011-1804-0_14
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