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On the simulation of nonlinear hardening in metallic materials using the concept of representative directions
Author(s) -
Shutov Alexey,
Freund Michael,
Ihlemann Jörn
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110212
Subject(s) - hardening (computing) , isotropy , nonlinear system , viscoplasticity , kinematics , materials science , strain hardening exponent , finite element method , mechanics , structural engineering , composite material , physics , constitutive equation , classical mechanics , engineering , quantum mechanics , layer (electronics)
We generalize a uniaxial model of finite strain viscoplasticity using the concept of representative directions. As a result, a new phenomenological material model is obtained, which can describe the mechanical behavior under arbitrary loading conditions. The original uniaxial model takes the nonlinear isotropic and kinematic hardening into account, but it does not cover the distortional hardening. We show that the isotropic and kinematic hardening is completely retained during the process of generalization. Moreover, the distortional hardening effects are naturally induced by the concept. The resulting material model is validated by a comparison with real experimental data. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)