For homogeneous isotropic material, which one of the following cannot be the value of Poisson’s ratio ?

Question

For homogeneous isotropic material, which one of the following cannot be the value of Poisson’s ratio ? (A) 0, 1 (B) -1 (C) 0.5 (D) 0.8

Tardigrade Admin · Accepted Answer

The Poisson's ratio for homogeneous isotropic material must be between

- 1.0

to

+ 0.5

because of the requirement. For Young's modulus, the shear modulus and bulk modulus to have positive values.
Hence, 0.8 cannot be the value of Poisson's ratio for homogeneous isotropic material.

Q. For homogeneous isotropic material, which one of the following cannot be the value of Poisson’s ratio ?

$0$ , $1$

$- 1$

$0.5$

$0.8$

The Poisson's ratio for homogeneous isotropic material must be between $- 1.0$ to $+ 0.5$ because of the requirement. For Young's modulus, the shear modulus and bulk modulus to have positive values.
Hence, 0.8 cannot be the value of Poisson's ratio for homogeneous isotropic material.