Auxetic metamaterials from the position of mechanics: linear and nonlinear models


  • J.J. Rushchitsky S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev



auxetic metamaterial, linear and nonlinear models of elastic deformation, three basic mechanical phenomena


A modern understanding of auxetic materials (auxetics) from the position of mechanics is stated. An attention is accented on the theory of elastic deformation of auxetics and experiments with them — a legitimacy of using the term "negative Poisson's ratio", a role of the internal structure of auxetics in the explanation of three mechanical phenomena (swelling under tension, strengthening under indentation, synclastic and anticlastic deformations). The new nonlinear effect is described — the same material manifests the properties of a conventional material under small deformations and the properties of an auxetic material under moderate deformations.


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How to Cite

Rushchitsky, J. (2024). Auxetic metamaterials from the position of mechanics: linear and nonlinear models . Reports of the National Academy of Sciences of Ukraine, (7), 46–58.