How Can Poisson's Ratio Reach -1?

AI Thread Summary
Poisson's ratio can theoretically reach -1 in auxetic materials, which exhibit a unique behavior where they expand laterally when stretched axially. The formula for Poisson's ratio is defined as the ratio of transverse strain to axial strain. While traditional materials have a Poisson's ratio between 0.5 and -1, auxetic materials challenge this norm. The discussion highlights the confusion around negative strains and how they can lead to a negative Poisson's ratio. Understanding auxetic materials is key to grasping how Poisson's ratio can achieve this unusual value.
I_am_no1
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v = \epsilontrans/ \epsilonaxial

where

ν is the resulting Poisson's ratio,
\epsilontrans is transverse strain
\epsilonaxial is axial strain
and Poissions Ratio have range and its not more then 0.5 and not less then -1?

so my question is how its value can turn "-1"?

As its already neative and its axial strain or transverse strain one must be negative so the value of Poissions Ratio will turn positive! what do you say!
 
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Hi I_am_no1! :smile:

These are auxetic materials … see http://en.wikipedia.org/wiki/Auxetic" :wink:
 
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