If stress-strain relation for volumetric change is in the form (ΔV)/(V0)=K P where P is applied

step 1 So hello student in this question we have given an equation that is del v by v equal kp we need

If stress-strain relation for volumetric change is in the...

If stress-strain relation for volumetric change is in the form $\frac{\Delta V}{V_{0}}=K P$ where $P$ is applied uniform pressure, then $K$ stands for
(a) shear modulus
(b) compressibility
(c) Young's modulus
(d) bulk modulus

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Key Concepts

Bulk Modulus

Bulk modulus is the measure of a material’s resistance to uniform compression and is defined as the ratio of the applied pressure to the resulting relative decrease in volume. It is essentially the inverse of compressibility, as a high bulk modulus corresponds to a low compressibility and vice versa.

Compressibility

Compressibility is a property that indicates how much the volume of a material changes in response to an applied pressure. It is defined as the ratio of the fractional volume change to the applied pressure, making it the constant of proportionality in the stress-strain relationship for volumetric changes when the volume decreases with increased pressure.

Volumetric Strain

Volumetric strain is defined as the relative change in volume of a material (?V/V?) when subjected to a uniform pressure. It quantifies the material’s response to loading in terms of expansion or contraction, and is a key measure in assessing deformations under hydrostatic stress conditions.

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