Give the theoretical and practical value of Poisson's ratio for all substances.
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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.
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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 =
Lateral strain =
Poisson's ratio:
- 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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