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.
The present article is a translation of an article originally written in Russian and published as the report of Ioffe Physico-Technical Institute, Academy of Sciences of USSR, Publication 1115, Lenin9md, 1987.
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Gibiansky, L.V., Cherkaev, A.V. (2018). Microstructures of Composites of Extremal Rigidity and Exact Bounds on the Associated Energy Density. In: Cherkaev, A.V., Kohn, R. (eds) Topics in the Mathematical Modelling of Composite Materials. Modern Birkhäuser Classics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-97184-1_8
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DOI: https://doi.org/10.1007/978-3-319-97184-1_8
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-97183-4
Online ISBN: 978-3-319-97184-1
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