Title: Convex plastic potentials of fourth and sixth rank for anisotropic materials
Authors: Van Houtte, Paul ×
Van Bael, Albert #
Issue Date: 2004
Publisher: Pergamon Press
Series Title: International Journal of Plasticity vol:20 issue:8-9 pages:1505-1524
Abstract: It is briefly reminded how the theory of dual plastic potentials has been used in the past to generate analytical expressions for plastic potentials of anisotropic polycrystalline materials with a known crystallographic texture. Such constitutive models are fairly general, and the identification of their parameters can readily be done on the basis of data obtained from a texture measurement. As a result, they are suitable for engineering applications such as elasticplastic finite element models for forming processes. However, the yield loci generated in this way are not automatically convex. Therefore, a new variant of the method has now been developed, which preserves the advantages of the old method, but for which convexity can at least been tested by means of a mathematical criterion. In addition, it has turned out to be possible to slightly modify plastic potentials which do not satisfy the criterion, in order to achieve convexity. An example of a plastic potential modified in this way is discussed. After modification, it was still a good analytical approximation of the plastic potential directly derived from the Taylor-Bishop-Hill theory on the basis of the crystallographic texture of the material. (C) 2003 Elsevier Ltd. All rights reserved.
ISSN: 0749-6419
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Mechanical Metallurgy Section (-)
Department of Materials Engineering - miscellaneous
Technologiecluster Materialentechnologie
Materials Technology TC, Technology Campus Diepenbeek
× corresponding author
# (joint) last author

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