NDLI: Modeling of finite strain viscoplasticity based on the logarithmic corotational description

Content Provider	Springer Nature Link
Author	Lin, R. C. Betten, J. Brocks, W.
Copyright Year	2006
Abstract	It has been proven that the deformation rate is identical to the logarithmic corotational rate of the spatial logarithmic strain. Based on the logarithmic corotational description we present an extension of a Chaboche infinitesimal viscoplastic law for finite strain cases. An additive decomposition of the logarithmic corotational rate of the logarithmic strain, implicitly included in an internal dissipation inequality, is applied to the extension. Functionally, this additive decomposition corresponds to the additive decomposition of the material time derivative of the logarithmic strain used in infinitesimalinelastic problems. Using the additive decomposition and replacing the material time derivatives of all second-order tensors in the infinitesimal viscoplastic law with the corresponding logarithmic corotational rates, we arrive at a new finite viscoplastic law with nonlinear isotropic and kinematic hardening. The numerical algorithms suitable for the finite element implementation of this law are formulated and several numerical examples are presented. These numerical examples prove that the finite viscoplastic law and the algorithms are effective and reliable.
Starting Page	693
Ending Page	708
Page Count	16
File Format	PDF
ISSN	09391533
Journal	Archive of Applied Mechanics
Volume Number	75
Issue Number	10
e-ISSN	14320681
Language	English
Publisher	Springer-Verlag
Publisher Date	2006-08-01
Publisher Place	Berlin/Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Viscoplasticity Logarithmic corotational rate Internal dissipation Systems and Information Theory in Engineering Thermodynamics Fluids Complexity Mechanics Theoretical and Applied Mechanics
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering

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