The correct answer is D.
The strain energy due to volumetric strain is directly proportional to the volume, the square of exerted pressure, and inversely proportional to the Bulk modulus.
The strain energy due to volumetric strain is given by the following equation:
$U = \frac{1}{2}B\Delta V^2$
where:
- $U$ is the strain energy
- $B$ is the Bulk modulus
- $\Delta V$ is the change in volume
The Bulk modulus is a measure of how difficult it is to compress a material. It is defined as the ratio of the pressure applied to a material to the change in volume that results.
The strain energy due to volumetric strain is directly proportional to the volume because the greater the volume of a material, the more energy is required to compress it.
The strain energy due to volumetric strain is directly proportional to the square of exerted pressure because the greater the pressure applied to a material, the more the material is compressed, and the more energy is required to compress it.
The strain energy due to volumetric strain is inversely proportional to the Bulk modulus because the greater the Bulk modulus of a material, the more difficult it is to compress the material, and the less energy is required to compress it.