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The Homogenization Method for Topology and Shape Optimization

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Topology Optimization in Structural Mechanics

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 374))

Abstract

This paper is devoted to an elementary introduction to the homogenization theory and its application to topology and shape optimization of elastic structures. It starts with a brief survey of periodic homogenization, H- or G-convergence, and the mathematical modeling of composite materials. Then, these notions are used for minimum compliance and weight design of elastic structures in two or three space dimension. Theoretical, as well as numerical, aspects of the homogenization method are investigated.

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Author information

Authors and Affiliations

  1. DRN/ DMT/ SERMA, CEA Saclay, Gif sur Yvette, France

    G. Allaire

  2. University of Paris 6, Paris, France

    G. Allaire

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  1. G. Allaire
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Editors and Affiliations

  1. Essen University, Germany

    G. I. N. Rozvany

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© 1997 Springer-Verlag Wien

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Allaire, G. (1997). The Homogenization Method for Topology and Shape Optimization. In: Rozvany, G.I.N. (eds) Topology Optimization in Structural Mechanics. International Centre for Mechanical Sciences, vol 374. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2566-3_3

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  • DOI: https://doi.org/10.1007/978-3-7091-2566-3_3

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82907-3

  • Online ISBN: 978-3-7091-2566-3

  • eBook Packages: Springer Book Archive

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