This brief note describes an alternative approach for the demonstration of the localization criterion. In the new approach, the criterion is not obtained in terms of the gradient jump, but in terms of the plastic multiplier jump. The new demonstration is as simple as the classic criterion in the loading/loading conditions, but much simpler in the loading/unloading case. It is the opinion of the authors that this alternative approach is more convenient for pedagogical purposes.
Plastic Localization Revisited
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, July 11, 2002, final revision, June 4, 2003. Associate Editor: E. Arruda.
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Marante , M. E., and Flo´rez-Lo´pez , J. (May 5, 2004). "Plastic Localization Revisited ." ASME. J. Appl. Mech. March 2004; 71(2): 283–285. https://doi.org/10.1115/1.1636790
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