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Microstructures of Composites of Extremal Rigidity and Exact Bounds on the Associated Energy Density

  • L. V. Gibiansky
  • A. V. Cherkaev
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Part of the Modern Birkhäuser Classics book series (MBC)

Abstract

We study the elastic composites of extremal stiffness, i.e., periodic structures that provide minimal energy density in a given stress field (we call them composites of the minimal compliance or of the maximal stiffness). The composites are assembled from two isotropic materials taken in a prescribed proportion, and may be of an arbitrary microstructure.

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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • L. V. Gibiansky
  • A. V. Cherkaev

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