GATE ME 2014 Set 2 — Question 34
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Engineering Materials → Stress, Strain & Elastic Constants → Mechanical Properties & Stress-Strain
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Question
The relationship between true strain () and engineering strain () in a uniaxial tension test is given as
Correct answer
(C) ε_T = ln(1 + ε_E)
Solution
By definition, engineering strain is , which implies .
True strain is defined as .
Substituting the expression for from engineering strain into the true strain formula gives:
.
True strain is defined as .
Substituting the expression for from engineering strain into the true strain formula gives:
.
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