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Bounds and homogenization of some optimal reiterated honeycombs
We consider reiterated honeycomb-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 m. In fact, our results show that they converge to the same limit as m 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.
Bounds and homogenization of some optimal reiterated honeycombs
We consider reiterated honeycomb-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 m. In fact, our results show that they converge to the same limit as m 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.
Bounds and homogenization of some optimal reiterated honeycombs
Lukkassen, D. (author)
1997
10 Seiten, 17 Quellen
Conference paper
English
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