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Question: If stress-strain relation for volumetric change is in the \(\frac{\Delta V}{V_{0}} = KP\) form where...

If stress-strain relation for volumetric change is in the ΔVV0=KP\frac{\Delta V}{V_{0}} = KP form where P is applied uniform pressure, then K stands for

A

Shear modulus

B

Compressibility

C

Young’s modulus

D

Bulk modulus

Answer

Compressibility

Explanation

Solution

: Bulk modulus=PΔV/V= \frac{P}{\Delta V/V}

Compressibility

=1Bulkmodulus=ΔV/VP= \frac{1}{Bulk{mod}ulus} = \frac{\Delta V/V}{P}

= k compressibility