Journal
INTERNATIONAL JOURNAL OF PLASTICITY
Volume 39, Issue -, Pages 152-167Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijplas.2012.06.006
Keywords
Viscoplasticity; Yield function; Kinematic hardening; Distortional hardening; Rheology
Funding
- German Research Foundation (DFG) [SFB 692]
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A new model of metal viscoplasticity, which takes combined isotropic, kinematic, and distortional hardening into account, is presented. The basic modeling assumptions are illustrated using a new two-dimensional rheological analogy. This demonstrative theological model is used as a guideline for the construction of constitutive relations. The nonlinear kinematic hardening is captured using the well-known Armstrong-Frederick approach. The distortion of the yield surface is described with the help of a so-called distortional backstress. A distinctive feature of the model is that any smooth convex saturated form of the yield surface which is symmetric with respect to the loading direction can be captured. In particular, an arbitrary sharpening of the saturated yield locus in the loading direction combined with a flattening on the opposite side can be covered. Moreover, the yield locus evolves smoothly and its convexity is guaranteed at each hardening stage. A strict proof of the thermodynamic consistency is provided. Finally, the predictive capabilities of the material model are illustrated using the experimental data for a very high work hardening annealed aluminum alloy 1100 Al. (C) 2012 Elsevier Ltd. All rights reserved.
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