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Optimization of perforated domains through homogenization

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Abstract

We begin by explaining briefly why some shape/topology optimization problems need to be relaxed through homogenization. In Section 2 we present, from a mechanical viewpoint, the formula for the homogenized coefficients for a periodic infinitesimal perforation, and then briefly discuss the locally periodic ones (Section 3). Sections 4–6 describe a program which minimizes a certain functional over the set of model holes, and then its integration into a larger program, intended to treat topology and shape optimization problems. Numerical results are presented.

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  1. C.M.A.F., Av. Prof. Gama Pinto, 2, P-1699, Lisbon, Portugal

    C. Barbarosie

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  1. C. Barbarosie
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Barbarosie, C. Optimization of perforated domains through homogenization. Structural Optimization 14, 225–231 (1997). https://doi.org/10.1007/BF01197944

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  • DOI: https://doi.org/10.1007/BF01197944

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