First slide

Elastic Modulie

Question

If Poisson's ratio cr for a material is $\frac{1}{2}$ , then the material is [BCECE (Mains) 2012]

Easy

A

elastic fatigue
B

incompressible
C

compressible
D

None of these

Solution

We know that, compressibility, $C = \frac{1}{| B |}$
Also, $\frac{d V}{V} = (1 + 2 σ) \frac{d L}{L}$
Given, $σ = - \frac{1}{2}$ then
$\frac{d V}{V} = 0$ , i.e. voIume is constant.
or B = $\infty$ , i.e. the material is incompressible.

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