Three dimensional modeling of warp and woof periodic auxetic cellular structure

Abstract This paper presents a novel periodic auxetic cellular structure (PACS) whose cells were spanned as warp and woof. Warp and woof periodic auxetic cellular structure (WWPACS) is compressed in two transverse directions when quasi-static compressive loading is applied. In this paper, among different available manufacturing processes of auxetic structures, interlocking assembly method was used to fabricate the periodic cellular structure. To this end, the effects of NPR and mechanical behavior of auxetic structure were investigated and results compared with 3D finite element simulation. Good agreements were found between the experimental and FE results. The total energy and specific energy absorbed for experimental works and FE simulation were calculated. Furthermore, the effect of re-entrant angle on NPR was also obtained. The results show that the NPR increases and reaches to maximum value and then, due to overlaying the cellular, decreases. FE simulations show that the effect of structural geometry on NPR is more important than that of the materials used in the structure.

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