Bounds And Homogenization Of Some OptimalReiterated Honeycombs
Dag Lukkassen · WIT transactions on the built environment · 1970
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.