Is there an upper & lower limit to Poisson's ratio?

Question

we know:
Poission's ratio: is the ratio of transverse contraction strin to longitudinal strain>

Answer 1

Yes and theoretical limiting values are -1 to <1/2 (practical values lie between 0.2 to 0.4). This can be shown as below :
Let Y, K, n and P be the Young's Modulus, Bulk modulus, Modulus of Rigidity and Poisson's Ratio, respectively.
Y = 3K (1 - 2P) [Standard formula]
Y = 2n (1 + P) [Standard formula]
Hence, 3K (1 - 2P) = 2n (1 + P)
Now K and n are always positive, so
i) If P be +ve, then RHS is always +ve. So LHS must also be +ve. Therefore, 2P < 1 or P <1/2
ii) If P be -ve, then LHS will always be +ve. Therefore, 1+P > 0 or P > -1
Thus the limiting values of Poisson's ratio are -1 < P < 1/2

Answer 2

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Answer 3

If you use .3 as an estimate each time you will be fine. This is done on materials that can not be tensile tested or the poission ratio can not be found.

Answer 4

Lower limit = 0.0
Upper limit = 0.5