Physics, asked by bishtsmita06, 6 months ago

Give the theoretical and practical value of Poisson's ratio for all substances.

Answers

Answered by Anonymous
5

Answer:

The Poisson's ratio of a stable, isotropic, linear elastic material must be between −1.0 and +0.5 because of the requirement for Young's modulus, the shear modulus and bulk modulus to have positive values. Most materials have Poisson's ratio values ranging between 0.0 and 0.5.

Answered by Anonymous
9

The lateral strain is proportional to longitudinal strain within the elastic limit and the ratio of two strains is called Poisson's ratio.

Longitudinal strain =  \rm \dfrac{\Delta l}{l}

Lateral strain =  \rm -\dfrac{\Delta R}{R}

Poisson's ratio:

 \rm  \sigma =  \dfrac{Lateral \:  strain}{Longitudinal \:  strain}  \\  \\  \rm \sigma =  \dfrac{ - \dfrac{\Delta R}{R}}{\dfrac{\Delta l}{l}}  \\  \\  \rm  \sigma =  -   \dfrac{\Delta R}{R} \times  \dfrac{l}{\Delta l}

  • Poisson's ratio is a unitless & dimensionless quantity.
  • Theoretical value of Poisson's ratio for all substance lies between -1 and +0.5
  • Partical value of Poisson's ratio for all the substance lies between 0 and +0.5
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