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Optimal and Manufacturable Two-dimensional, Kagomé-like Cellular Solids

Published online by Cambridge University Press:  31 January 2011

S. Hyun  and
S. Torquato
S. Hyun
Affiliation:
Princeton Materials Institute and Department of Chemistry, Princeton University, Princeton, New Jersey 08544
S. Torquato
Affiliation:
Princeton Materials Institute and Department of Chemistry, Princeton University, Princeton, New Jersey 08544
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Abstract

We used the topology optimization technique to obtain two-dimensional, isotropic cellular solids with optimal effective elastic moduli and effective conductivity. The overall aim was to obtain the best (simplest) manufacturable structures for these effective properties, i.e., single-length-scale structures. Three different but simple periodic structures arose due to the imposed geometric mirror symmetries: lattices with triangular-like cells, hexagonal-like cells, or Kagomé-like cells. As a general rule, the structures with the Kagomé-like cells provided the best performance over a wide range of densities, i.e., for 0 ≰ ф <0.6, where ф is the solid volume fraction (density). At high densities (ф > 0.6), Kagome-like structures were no longer possible, and lattices with hexagonal-like or triangular-like cells provide virtually the same optimal performance. The Kagomé-like structures were found to be a new class of cellular solids with many useful features, including desirable transport and elastic properties, heat-dissipation characteristics, improved mechanical strength, and ease of fabrication.

Type
Articles
Information
Journal of Materials Research , Volume 17 , Issue 1 , January 2002 , pp. 137 - 144
Copyright
Copyright © Materials Research Society 2002

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