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An optimal design method based on small amplitude homogenization

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Abstract

An optimal design method for two materials based on small amplitude homogenization is presented. The method allows to use quite general objective functions at the price that the two materials should have small contrasts in their relevant physical parameters. The following two applications are shown: Stress constrained compliance minimization and defect location in elastic bodies.

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Authors and Affiliations

  1. Department of Structural and Geotechnical Engineering, Pontificia Universidad Católica de Chile, Santiago, Chile

    Sergio Gutiérrez

Authors
  1. Sergio Gutiérrez
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Corresponding author

Correspondence to Sergio Gutiérrez.

Additional information

In Honor of the Scientific Contributions of Professor Luc Tartar

This work was supported by the project FONDECYT provided by the Chilean Commission for Scientific and Technological Research (No. 1090334).

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Gutiérrez, S. An optimal design method based on small amplitude homogenization. Chin. Ann. Math. Ser. B 36, 843–854 (2015). https://doi.org/10.1007/s11401-015-0979-4

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  • DOI: https://doi.org/10.1007/s11401-015-0979-4

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