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Numerical analysis of strain localization in metal powder-forming processes

Lewis, R. W ; Sharif University of Technology | 2001

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  1. Type of Document: Article
  2. DOI: 10.1002/nme.303
  3. Publisher: John Wiley and Sons Ltd , 2001
  4. Abstract:
  5. It is well known that strain localization and indeed displacement discontinuity can arise in materials exhibiting plastic behaviour. Indeed such localization is almost certain to occur if strain softening or non-associated behaviour exists, though it can be triggered even when ideal plasticity is assumed. This study is concerned mainly with the manner in which the numerical discretization process has to be devised so as to capture the localization phenomenon. In this paper, a method is presented for applying the mixed formulation to study the prediction of localization phenomenon in powder-forming processes. This study is focused on the performance of mixed u - π triangular elements to study their efficiency in indicating localization for various mesh refinements. An adaptive analysis using element elongation is applied in the modelling of strain localization. The numerical results are obtained for a Von Mises yield criterion applied to a multi-level component, at the final stage of compaction. It is shown that if a correct approximation is used then both the iniform and non-uniform mesh refinements will converge to the correct answer and clearly indicate the localization phenomenon. It is also observed that an adaptive analysis using element elongation can be effective in the modelling of such phenomena. Copyright © 2001 John Wiley and Sons, Ltd
  6. Keywords:
  7. Adaptive remeshing ; Element elongation ; Incompressible material ; Mixed formulation ; Strain localization
  8. Source: International Journal for Numerical Methods in Engineering ; Volume 52, Issue 5-6 , 2001 , Pages 489-501 ; 00295981 (ISSN)
  9. URL: https://onlinelibrary.wiley.com/doi/10.1002/nme.303