A comprehensive analytical and numerical study on the elastic response of a series of novel 2D cellular structures including chiral, anti-chiral, and hierarchical honeycombs with square, and hexagonal unit cells are performed. The elastic properties of the cellular lattices are obtained through the energy method. The method leads to closed-form relations for the elastic response of the structures under general 2D state of stress. The work provides insight into the effect of structural organization (chirality and hierarchy) in regulating the mechanical behavior of materials, and new opportunities for developing low-weight cellular structures. Keywords: chirality, structural hierarchy, honeycombs, cellular structures.


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