منابع مشابه
Optimal fractal-like hierarchical honeycombs.
Hexagonal honeycomb structures are known for their high strength and low weight. We construct a new class of fractal-appearing cellular metamaterials by replacing each three-edge vertex of a base hexagonal network with a smaller hexagon and iterating this process. The mechanical properties of the structure after different orders of the iteration are optimized. We find that the optimal structure...
متن کاملBounds and homogenization of some optimal reiterated honeycombs
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 o...
متن کاملSpiderweb honeycombs
Small and large deformation in-plane elastic response of a new class of hierarchical fractal-like honeycombs inspired by the topology of the ''spiderweb'' were investigated through analytical modeling, detailed numerical simulations, and mechanical testing. Small deformation elasticity results show that the isotropic in-plane elastic moduli (Young's modulus and Poisson's ratio) of the structure...
متن کاملSpiderWeb honeycombs
A new class of hierarchical fractal-like honeycombs inspired by the topology of the “spiderweb” were introduced and their small and large deformations were investigated analytically, numerically, and experimentally. Small deformation elasticity results show that the isotropic in-plane elastic moduli (Young’s modulus and Poisson’s ratio) of the structures can be controlled over several orders of...
متن کاملCosmological principle and honeycombs
We consider a weak version of the cosmological principle. The large scale mass distribution associated to this principle must have the geometrical structures known as regular honeycombs. We give the most important parameters that characterize the honeycombs associated to the closed, open, and flat Robertson-Walker models. These parameters can be used to determinate by observations which is the ...
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ژورنال
عنوان ژورنال: Nature
سال: 1994
ISSN: 0028-0836,1476-4687
DOI: 10.1038/367123a0