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The relationship between true strain (ε_T) and engineering strain (ε_E) in a uniaxial tension test is given as

1. ε_E = ln(1 + ε_T)
2. ε_E = ln(1 - ε_T)
3. ε_T = ln(1 + ε_E)
4. ε_T = ln(1 - ε_E)

Correct answer: ε_T = ln(1 + ε_E)

Solution

The correct option shows that true strain is derived from engineering strain using the natural logarithm, reflecting how true strain accounts for the continuous change in length during deformation, while engineering strain is based on the original length.

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