Optimal Discretization of Power Stress-Strain Law Curves

[+] Author and Article Information
R. Hoff, L. M. Santi, G. E. Johnson, C. A. Rubin, G. T. Hahn

Mechanical and Materials Engineering, Vanderbilt University, Nashville, TN 37235

J. Eng. Mater. Technol 107(2), 115-118 (Apr 01, 1985) (4 pages) doi:10.1115/1.3225785 History: Received March 29, 1984; Online September 23, 2009


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.

Copyright © 1985 by ASME
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