
The Hockett-Sherby equation is proposed as an optimal stress-strain model in a non-uniform deformation region. After necking, a true stress-strain equation is determined by iteratively conducting finite element analysis using three pieces of information at the necking and the fracture points.
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Before necking, the true stress and strain values are directly converted from engineering stress and strain data, respectively. This study presents a simple methodology to determine the true stress-strain curve of type 304 and 316 austenitic stainless steels in the full range of strain from a typical tensile test.

Knowing a material’s true stress-strain curve is essential for performing a nonlinear finite element analysis to solve an elastoplastic problem.
