The Relationship between Auxetic and Negative Stiffness Materials Behavior. Part I: Theory

V. Chiroiu(1*), L. Munteanu(2), D. Dumitriu(3)

(1) Institute of Solid Mechanics of Romanian Academy, Romania
(2) Institute of Solid Mechanics of Romanian Academy, Romania
(3) Institute of Solid Mechanics of Romanian Academy, Romania
(*) Corresponding author

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The purpose of the paper is to study the relationship between the behavior of auxetic and negative stiffness materials. These materials are modeled as chiral Cosserat media. The classical mechanics fails when describes the behavior of auxetic and negative stiffness materials, because these materials exhibit chiral effects and non-affine deformations. A new architecture for a cellular elastic solid with a chess board structure composed from auxetic materials of positive and negative stiffness, is proposed. The characterization of the cellular solid with the calculation of material constants will be presented in the forthcoming paper.
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Auxetic Material; Negative Poisson’ratio; Negative Stiffness Material; Chess Board Structure

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