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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/272990
- author
- Wallin, Mathias
LU
; Ristinmaa, Matti
LU
and Ottosen, Niels Saabye
LU
- organization
- publishing date
- 2004
- 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
- 2016-04-01 16:27:40
- date last changed
- 2022-01-28 19:50:31
@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}},
keywords = {{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}},
doi = {{10.1243/095440604774202259}},
volume = {{218}},
year = {{2004}},
}