Is there any specific reason for non-linearity of stress-strain curve in elastic region?

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Imrose B. Muhit

One reason could be due to some movements of the machine itself, which means filling the gap in contact surfaces.

Abdulaziz Albannai

Slipping of the grips

If you are using inappropriate grips shape & type for the workpiece, then the friction between the surfaces of the grips and the workpiece will be weak and cause the workpiece to slip during the testing process causing inaccurate data collection.

Hassan Nosrati

https://enterfea.com/difference-between-linear-and-nonlinear-elastic-material/