Chapter 2.2, Problem 34P

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

${\epsilon }^{\prime }=\underset{\Delta s^{\prime }\to 0}{\lim }(\frac{\Delta s^{\prime }-\Delta s}{\Delta s^{\prime }})$

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, ε − ε′ = εε′.