A criterion for optimal discretization of power stress-strain law curves is proposed. The criterion is based on the assumption that it is desirable to have the fewest possible line segments without exceeding some predetermined bound on the error. The formulation produces a system of simultaneous nonlinear equations which are solved using an iterative search technique. Solutions are presented in both graphical and tabular form for a wide range of strain hardening exponents and acceptable error bounds. It is shown that stress and energy density can be accurately and efficiently modeled using the optimal discretization.

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