An optimal design method based on small amplitude homogenization

Sergio Gutiérrez

doi:10.1007/s11401-015-0979-4

Chinese Annals of Mathematics, Series B ›› 2015, Vol. 36 ›› Issue (5) : 843 -854. DOI: 10.1007/s11401-015-0979-4

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An optimal design method based on small amplitude homogenization

Sergio Gutiérrez ¹^,^a

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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.

Keywords

Homogenization / Inverse problems / Relaxation / Stress concentration

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Sergio Gutiérrez. An optimal design method based on small amplitude homogenization. Chinese Annals of Mathematics, Series B, 2015, 36(5): 843-854 DOI:10.1007/s11401-015-0979-4

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