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2015 | OriginalPaper | Chapter

3. Elasticity of Auxetic Solids

Author : Teik-Cheng Lim

Published in: Auxetic Materials and Structures

Publisher: Springer Singapore

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Abstract

Fundamental behavior of auxetic solids is laid down in terms of linear anisotropic constitutive relationship, followed by the derivation of Poisson’s ratio bounds for isotopic solids in 3D and 2D cases. Increasing simplifications are then imposed on the compliance matrices of the complete anisotropic solid until linear isotropic case is obtained, whereby special trends are observed for Poisson’s ratio of −1, −2/3, −1/2 and 0, followed by distinct moduli ratio that separates auxetic solids from conventional ones. Thereafter the chapter explores large elastic deformation, anisotropic crystals, elastoplasticity and viscoelasticity of auxetic media.

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previous chapter Micromechanical Models for Auxetic Materials
next chapter Stress Concentration, Fracture and Damage in Auxetic Materials
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Metadata
Title
Elasticity of Auxetic Solids
Author
Teik-Cheng Lim
Copyright Year
2015
Publisher
Springer Singapore
Book
Auxetic Materials and Structures

Print ISBN: 978-981-287-274-6

Electronic ISBN: 978-981-287-275-3

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-981-287-275-3_3

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