GATE ME 2015 Set 2 — Question 60
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Manufacturing Processes → Forming → Plastic Deformation & Yield Criteria
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Question
The flow stress (in MPa) of a material is given by , where is true strain. The Young's modulus of elasticity of the material is . A block of thickness made of this material is compressed to thickness and then the load is removed. The final dimension of the block (in mm) is
Correct answer
95.14 to 95.2
Solution
1.Calculate the total true strain at maximum compression:
Initial thickness , compressed thickness .2.Calculate the flow stress at this strain:
3.Calculate the elastic recovery strain:
4.Calculate the final plastic true strain:
5.Calculate the final thickness :
The final dimension of the block is approximately , which is within the range to .
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