Poisson's ratio is one of the most important mechanical properties of materials and structures. A structure or material with a negative Poisson's ratio is defined as Auxetic. The mechanical properties, types of structures, production methods, advantages and disadvantages of Auxetic structures have been investigated experimentally and numerically in studies carried out so far. In this study, the Poisson's ratio of the lattice structure, which is not in the literature and is newly designed and modeled using the Islamic geometric pattern logic, and the lattice structure formed by its mirroring and connection relations, has been examined. The change of 14 lattice structures according to thickness and matrix structure, which was examined with 7 different geometry inner thicknesses and 2 different matrix structures, was examined. The variation of the Poisson's ratio depending on the geometry inner thickness is shown in detail in a graphic. As the geometry inner thickness increases, the lowest Negative Poisson's ratio approaches -1. Maximum deformation and maximum Equivalent stress statuses are also examined, their relations with geometry inner thickness are given with graphs. Maximum deformation and maximum equivalent stress were observed in the sample with the smallest geometry interior thickness. The lowest Poisson's ratio was calculated as -0.55 in the sample with 4x2 matrix structure and 4.9 mm geometry inner thickness.
Anahtar Kelimeler: Auxetic, Lattice Structure, Negative Poisson’s ratio, Matrix Structure
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