If the normal strain is defined in reference to the final length, that is, instead of in

Chapter 2, Problem 2-34

(choose chapter or problem)

If the normal strain is defined in reference to the final length, that is,

\(\boldsymbol{\epsilon}_{n}^{\prime}=\lim _{p \rightarrow p^{\prime}}\left(\frac{\Delta s^{\prime}-\Delta s}{\Delta s^{\prime}}\right)\)

instead of in reference to the original length, Eq. 2–2, show that the difference in these strains is represented as a second-order term, namely, \(\epsilon_{n}-\epsilon_{n}^{\prime}=\epsilon_{n} \epsilon_{n}^{\prime}\).

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