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I know that for an isotropic solid, G = Y/2(1+v) but not sure if it is the same for an auxetic solid?

alidinalisha
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1 Answers1

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Yes, that relation holds for all linearly elastic isotopic materials, regardless of whether Poisson’s ratio is positive.

(In fact, the fact that materials tend to shear in the direction they’re pushed and tend to stretch in the direction they’re pulled—positive G and Y, respectively—places a constraint of $\nu>-1$ on Poisson’s ratio due to this relation.)

Chemomechanics
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