Let’s say I have two cylindrical segments of polymer that I’m testing in tension: The two materials are made of an identical substance, and the force applied to both is identical. In the undeformed state, the second cylinder has a cross-sectional area equal to half that of the first cylinder. Assume incompressible material with linear elasticity; no plastic deformation occurs.
A. How does the engineering (i. e. nominal) stress differ in the two samples?
B. How does the engineering (i. e. nominal) strain differ in the two samples?
C. How does the expected change in length differ in the two samples?
D. How does the true stress differ in the two samples?
E. How does the true strain differ in the two samples?