WIT Press

Bounds And Homogenization Of Some Optimal Reiterated Honeycombs

Price

Free (open access)

Paper DOI

10.2495/OP970261

Volume

31

Pages

10

Published

1997

Size

642 kb

Copyright

WIT Press

Author(s)

Dag Lukkassen

Abstract

We consider reiterated honeycoml>structures with m different micro-levels. By means of the homogenization theory we obtain upper and lower bounds for the corresponding effective properties. These bounds turn out to be very close to each other for large values of the reiteration number in. In fact, our results show that they converge to the same limit as in goes to infinity. Moreover, we point out that this limit is optimal within the class of two-phase structures with predescribed volume fractions. We also present some numerical results for the case m = 1. 1. Introduction Many problems in the hornogeriization theory deal with the characterization of sets of admissable effective properties generated from classes of structures and composites with given local properties arid volume fractions (se

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