Question
Download Solution PDFA material is subjected to a uniform hydrostatic pressure, resulting in a decrease in its volume. If the bulk modulus (K) of the material is increased while maintaining the same pressure, what is the effect on the volumetric strain (εv) of the material?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Volumetric Strain and Bulk Modulus
- Volumetric strain (εv) is a measure of the deformation of a material in response to an applied uniform hydrostatic pressure. It is defined as the change in volume (ΔV) divided by the original volume (V0).
Bulk Modulus (K):
- The bulk modulus (K) is a measure of a material's resistance to uniform compression. It is defined as the ratio of the applied hydrostatic pressure (P) to the resulting volumetric strain (εv).
Mathematical Relationship: The relationship between bulk modulus, pressure, and volumetric strain is given by the equation:
\(K = \frac{- P} { ε_v}\)
Where:
- K = Bulk Modulus
- P = Applied Hydrostatic Pressure
- εv = Volumetric Strain
The negative sign indicates that an increase in pressure leads to a decrease in volume, resulting in a negative volumetric strain.
When the bulk modulus (K) of a material is increased while maintaining the same applied hydrostatic pressure (P), the resulting volumetric strain (εv) will decrease. This is because the bulk modulus is inversely proportional to the volumetric strain.
Last updated on May 16, 2025
-> BHEL answer key 2025 for Supervisor Trainee has been released.
-> The BHEL Supervisor Trainee Admit Card 2025 has been uploaded. The Exam will be conducted on 11th, 12th and 13th April 2025.
-> BHEL Supervisor Trainee 2025 Notification has been released.
-> The Bharat Heavy Electrical Limited (BHEL) has announced 250 vacancies for the Supervisor Trainee post.
-> The applications can be submitted online from 1st to 28th February 2025.
-> The BHEL has also released the BHEL ST Exam Pattern
-> The selection for the BHEL Supervisor Trainee post will be based on an online examination and document verification.