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The influence of non-dissipative quantities in kinematic hardening plasticity

Wallin, Mathias LU ; Ristinmaa, Matti LU and Ottosen, Niels Saabye LU (2004) In Proceedings of the Institution of Mechanical Engineers. Part C: Journal of Mechanical Engineering Science 218(6). p.615-622
Abstract
A kinematic hardening plasticity model valid for finite strains is presented. The model is based on the well-known multiplicative split of the deformation gradient into elastic and plastic parts. The basic ingredient in the formulation is the introduction of a locally defined configuration-a centre configuration-which is associated with a deformation gradient that is used to characterize the kinematic hardening behaviour. The non-dissipative quantities allowed in the model are found when the plastic and kinematic hardening evolution laws are split into two parts: a dissipative part, which is restricted by the dissipation inequality, and a non-dissipative part, which can be chosen without any thermodynamic considerations. To investigate the... (More)
A kinematic hardening plasticity model valid for finite strains is presented. The model is based on the well-known multiplicative split of the deformation gradient into elastic and plastic parts. The basic ingredient in the formulation is the introduction of a locally defined configuration-a centre configuration-which is associated with a deformation gradient that is used to characterize the kinematic hardening behaviour. The non-dissipative quantities allowed in the model are found when the plastic and kinematic hardening evolution laws are split into two parts: a dissipative part, which is restricted by the dissipation inequality, and a non-dissipative part, which can be chosen without any thermodynamic considerations. To investigate the predictive capabilities of the proposed kinematic hardening formulation, necking of a bar is considered. Moreover, to show the influence of the non-dissipative quantities, the simple shear problem and torsion of a thin-walled cylinder are considered. The numerical examples reveal that the non-dissipative quantities can affect the response to a large extent and are consequently valuable and important ingredients in the formulation when representing real material behaviour. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
kinematic hardening, large strains, multiplicative split
in
Proceedings of the Institution of Mechanical Engineers. Part C: Journal of Mechanical Engineering Science
volume
218
issue
6
pages
615 - 622
publisher
Professional Engineering Publishing
external identifiers
  • wos:000222580400007
  • scopus:3042824993
ISSN
0954-4062
DOI
10.1243/095440604774202259
language
English
LU publication?
yes
id
a39a1e69-1b34-4803-9138-2e37a449ea93 (old id 272990)
date added to LUP
2007-11-05 08:01:08
date last changed
2017-01-01 07:05:57
@article{a39a1e69-1b34-4803-9138-2e37a449ea93,
  abstract     = {A kinematic hardening plasticity model valid for finite strains is presented. The model is based on the well-known multiplicative split of the deformation gradient into elastic and plastic parts. The basic ingredient in the formulation is the introduction of a locally defined configuration-a centre configuration-which is associated with a deformation gradient that is used to characterize the kinematic hardening behaviour. The non-dissipative quantities allowed in the model are found when the plastic and kinematic hardening evolution laws are split into two parts: a dissipative part, which is restricted by the dissipation inequality, and a non-dissipative part, which can be chosen without any thermodynamic considerations. To investigate the predictive capabilities of the proposed kinematic hardening formulation, necking of a bar is considered. Moreover, to show the influence of the non-dissipative quantities, the simple shear problem and torsion of a thin-walled cylinder are considered. The numerical examples reveal that the non-dissipative quantities can affect the response to a large extent and are consequently valuable and important ingredients in the formulation when representing real material behaviour.},
  author       = {Wallin, Mathias and Ristinmaa, Matti and Ottosen, Niels Saabye},
  issn         = {0954-4062},
  keyword      = {kinematic hardening,large strains,multiplicative split},
  language     = {eng},
  number       = {6},
  pages        = {615--622},
  publisher    = {Professional Engineering Publishing},
  series       = {Proceedings of the Institution of Mechanical Engineers. Part C: Journal of Mechanical Engineering Science},
  title        = {The influence of non-dissipative quantities in kinematic hardening plasticity},
  url          = {http://dx.doi.org/10.1243/095440604774202259},
  volume       = {218},
  year         = {2004},
}