Question: 2 . PROVE Mathematically that if the same cylinder is under axial tension, the optimum axial true stain is equal to the strain hardening exponent

2. PROVE Mathematically that if the same cylinder is under axial tension, the optimum axial true stain is equal to the strain hardening exponent/component, n, of the workpiece material properties when the external axial force, F, reaches a maximum for the useful deformation of the cylinder. Hints: Draw the true stress-strain curve of a ductile material; show on it where the force F is maximum and find the corresponding optimum true strain. Use also the concepts Volume Constancy and Ludwik's Law (stress-strain relationship).

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