Two-dimensional Auxetic Structures from Rotating Squares
Julian Plewa* and Malgorzata Plonska
Silesia University, Katowice, Poland
*Corresponding Author:Julian Plewa, Silesia University, Katowice, Poland.
Received:
February 28, 2023; Published: April 28, 2023
Abstract
Mechanical metamaterials constructed from rotating squares connected in a new way by means of rotation axes on the surface of the squares exhibit a unique negative Poisson’s ratio (NPR) effect. This effect stems from the highly ordered geometric structure formed by the rigid squares. Under a tensile force, the tested auxetic structures expand horizontally and vertically, with the measure of the relative expansion in these linear dimensions not depending on the number of the elements and the size of the structure, but only on the position of the rotation axes on the surface of the squares.
The paper includes examples of planar and tubular structures made of rigid squares. The analyzed mechanism of the change in the structures’ dimensions upon stretching or compression involves both rotational motion and translation of the connected squares.
The structures produced are an improved two-dimensional version of the well-known “rotating squares” model. They can find applications, e.g., in a wide range of adjustment mechanisms.
Keywords: Metamaterials; Auxetic Structures; Negative Poisson’s Ratio
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