A strip of metal is originally 1.5 m long. It is stretched in three steps: first to a length of 2 m, then to 2.5 m, and finally to 3.

A strip of metal is originally 1.5 m long. It is stretched in three steps: first to a length of 2 m, then to 2.5 m, and finally to 3.0 m. Show that the total true strain is the sum of the true strains in each step, that is the true strains are additive. Show that using engineering strains, the strain for each step cannot be added to obtain the total strain