Accurate Numerical Solutions for Elastic-Plastic Models

[+] Author and Article Information
H. L. Schreyer, R. F. Kulak, J. M. Kramer

Reactor Analysis and Safety Division, Argonne National Laboratory, Argonne, Ill. 60439

J. Pressure Vessel Technol 101(3), 226-234 (Aug 01, 1979) (9 pages) doi:10.1115/1.3454627 History: Received April 02, 1979; Online October 25, 2010


The accuracy of two integration algorithms is studied for the common engineering condition of a von Mises, isotropic hardening model under plane stress. Errors in stress predictions for given total strain increments are expressed with contour plots of two parameters; an angle in the pi-plane and the difference between the exact and computed yield surface radii. The two methods are the tangent predictor-radial return approach and the elastic predictor-radial corrector algorithm originally developed by Mendelson. The accuracy of a combined tangent predictor-radial corrector algorithm is also investigated. For single-step constant-strain-rate increments the elastic predictor-radial corrector method is generally the most accurate, although errors in angle can be significant. The use of a simple subincrementation formula with any one of the three approaches yields results that would be acceptable for most engineering problems.

Copyright © 1979 by ASME
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