I have done uniaxial tensile tests on a machine with and without using an extensometer. And I found that it used different methods for the determination of Young's modulus for different cases. The difference is the way how it calculates the strain:
With an extensometer: strain = Extensometer travel/Gauge length (25 mm in my case)
Without an extensometer: strain = Grip travel/Initial grip-to-grip distance
I'm wondering whether both of them are correct. In my case, an extensometer is not suggested since my samples are very thin and flexible, the extensometer will put extra load on the samples. So I want to know how accurate the results will be when no extensometer is used.