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Simultaneous shape, topology, and homogenized properties optimization

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Abstract

In this brief note, we present an approach that combines the three classical techniques in structural optimization, i.e. the boundary variation and the topological and the homogenization methods. As a first test of this method, we apply it to the compliance opti-mization in \(\mathbb{R}^{2}\).

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Correspondence to K. Trabelsi.

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Pantz, O., Trabelsi, K. Simultaneous shape, topology, and homogenized properties optimization. Struct Multidisc Optim 34, 361–365 (2007). https://doi.org/10.1007/s00158-006-0080-4

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  • DOI: https://doi.org/10.1007/s00158-006-0080-4

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