GATE ME 2018 Set 1 — Question 58
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Engineering Materials → Stress, Strain & Elastic Constants → Mechanical Properties & Stress-Strain
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Question
The true stress () - true strain () diagram of a strain hardening material is shown in figure. First, there is loading up to point A, i.e., up to stress of 500 MPa and strain of 0.5. Then from point A, there is unloading up to point B, i.e., to stress of 100 MPa. Given that the Young’s modulus GPa, the natural strain at point B () is _________ (correct to three decimal places).
Correct answer
0.498 to 0.498
Solution
During the unloading process from point A to point B, the material undergoes elastic recovery. The slope of this unloading path is equal to the Young's modulus () of the material.Given data:
- Stress at point A, MPa
- Strain at point A,
- Stress at point B, MPa
- Young's modulus, GPa MPa
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