Show that value of poisson's ratio lies -1 and o.5
Dear Student,
Experiments have shown that the theoretical value of Poisson's Ratio for all substances lies in between -1 and +0.5, but practical value of Poisson's Ratio lies between 0 and 0.5.
We know the relationship E = 3K(1-2n), where E is young's modulus of elasticity, K is bulk modulus of elasticity and n is Poisson's ratio.
If value of Poisson's ratio is more than half, implies that value of young's modulus is negative which is not possible.
So value of Poisson's ratio is always less than 0.5 and always greater than -1
Regards
Experiments have shown that the theoretical value of Poisson's Ratio for all substances lies in between -1 and +0.5, but practical value of Poisson's Ratio lies between 0 and 0.5.
We know the relationship E = 3K(1-2n), where E is young's modulus of elasticity, K is bulk modulus of elasticity and n is Poisson's ratio.
If value of Poisson's ratio is more than half, implies that value of young's modulus is negative which is not possible.
So value of Poisson's ratio is always less than 0.5 and always greater than -1
Regards