The volume of a tensile specimen is essentially constant

Chapter 2, Problem 2.32

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QUESTION:

The volume of a tensile specimen is essentially constant while plastic deformation occurs. If the initial diameter of the specimen is \(d_{1}\), show that when the diameter is d, the true strain is \(\epsilon_{t}=2 \ln \left(d_{1} / d\right)\).

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QUESTION:

The volume of a tensile specimen is essentially constant while plastic deformation occurs. If the initial diameter of the specimen is \(d_{1}\), show that when the diameter is d, the true strain is \(\epsilon_{t}=2 \ln \left(d_{1} / d\right)\).

ANSWER:

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 If the volume is constant,      

 

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