How Can Poisson's Ratio Reach -1?

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SUMMARY

Poisson's ratio, denoted as ν, can indeed reach -1 in specific materials known as auxetic materials. The formula v = εtrans / εaxial illustrates that ν is derived from the ratio of transverse strain (εtrans) to axial strain (εaxial). Auxetic materials exhibit a unique property where they expand laterally when stretched, allowing for a Poisson's ratio of -1. This behavior challenges traditional understandings of material mechanics, where Poisson's ratio typically ranges from 0.5 to -1.

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I_am_no1
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v = [tex]\epsilon[/tex]trans/ [tex]\epsilon[/tex]axial

where

ν is the resulting Poisson's ratio,
[tex]\epsilon[/tex]trans is transverse strain
[tex]\epsilon[/tex]axial 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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