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What is the meaning of poisson's ratio of rubber being an incompressible material is 0.5?
Wiki User
∙ 15y ago
When an solid wire/string is stretched, its length increases and diameter decreases.
Transverse strain=d/D d=change in diameter D=original diameter
Longitudinal strain=l/L l=change in length L=original length
Poisson's Ratio=Transverse strain/Longitudinal strain=dL/Dl Alternatively, think about it in 3 dimensions. Assume we are pulling a piece of rubber in one dimension (X axis). In that dimension, the rubber gets longer. In the other 2 dimensions (Y and Z axes), the rubber gets smaller. (It 'necks' down.) For an incompressible material, the total volume cannot change with applied load, so for each unit the rubber gets longer in the X axis, it must get shorter in the total of the other 2 axes (Y + Z). Assuming the material is isotropic (as pure rubber would be), the changes in the Y and Z axes would be the same, and would need to total that of the X axis. So, as described above, Poissons Ratio would be dZ/dX or dY/dX, both of which would be 0.5 .
Wiki User
∙ 15y ago
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