In the context of topology and shape optimization, we minimize the sum of the elastic compliance and of the weight of a two-dimensional structure under specified loading. A relaxed formulation of the original problem which uses composites obtained by microperforation is introduced. A new numerical algorithm is proposed ; it provides a natural link between the previously known method of Bendsoe, Kikuchi, and Suzuki, and that of Allaire and Kohn.
CITATION STYLE
Allaire, G., & Francfort, G. A. (1993). A Numerical Algorithm for Topology and Shape Optimization. In Topology Design of Structures (pp. 239–248). Springer Netherlands. https://doi.org/10.1007/978-94-011-1804-0_16
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