Question
Download Solution PDFPoisson's ratio for linear elastic, homogeneous and isotropic materials:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept :
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When a long bar is stretched by a force along its length, than its length increases and the radius decreases.
Lateral strain:
- The ratio of change in radius or diameter to the original radius or diameter is called lateral strain.
Longitudinal strain:
- The ratio of change in length to the original length is called longitudinal strain.
Poisson's ratio:
- The ratio of lateral strain to longitudinal strain is called Poisson's ratio
- The negative sign indicates that the radius of the bar decreases when it is stretched.
- Poisson's ratio is a dimensionless and a unitless quantity.
- Poisson's ratio for linear elastic, homogeneous and isotropic materials remains constant throughout
- The ratio of change in radius or diameter to the original radius or diameter is called lateral strain.
- The ratio of change in length to the original length is called longitudinal strain.
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