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Distortional hardening plasticity model for paperboard

Borgqvist, Eric LU ; Lindström, Tommy ; Tryding, Johan ; Wallin, Mathias LU and Ristinmaa, Matti LU orcid (2014) In International Journal of Solids and Structures 51(13). p.2411-2423
Abstract
A distortional hardening elasto-plastic model at finite strains suitable for modeling of orthotropic materials is presented. As a prototype material, paperboard is considered. An in-plane model is established. The model developed is motivated from non-proportional loading tests on paperboard where the paperboard is pre-strained in one direction and then loaded in the perpendicular direction. A softening effect is revealed in the pre-strained samples. The observed experimental findings cannot be accurately predicted by current models for paperboard. To be able to model the softening effects, a yield surface based on multiple hardening variables is introduced. It is shown that the model parameters can be obtained from simple uniaxial... (More)
A distortional hardening elasto-plastic model at finite strains suitable for modeling of orthotropic materials is presented. As a prototype material, paperboard is considered. An in-plane model is established. The model developed is motivated from non-proportional loading tests on paperboard where the paperboard is pre-strained in one direction and then loaded in the perpendicular direction. A softening effect is revealed in the pre-strained samples. The observed experimental findings cannot be accurately predicted by current models for paperboard. To be able to model the softening effects, a yield surface based on multiple hardening variables is introduced. It is shown that the model parameters can be obtained from simple uniaxial experiments. The model is implemented in a finite element framework which is used to illustrate the behavior of the model at some specific loading situations and is compared with strain fields obtained from Digital Image Correlation experiments. (Less)
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author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Distortion hardening, Paperboard, Anisotropy, Plasticity, Finite strains, Polyconvexity
in
International Journal of Solids and Structures
volume
51
issue
13
pages
2411 - 2423
publisher
Elsevier
external identifiers
  • scopus:84899899485
  • wos:000336775400015
ISSN
0020-7683
DOI
10.1016/j.ijsolstr.2014.03.013
language
English
LU publication?
yes
id
32393b2d-dcac-476e-8442-fcea34ac0fd2 (old id 5153653)
date added to LUP
2016-04-01 14:00:30
date last changed
2022-03-29 18:39:35
@article{32393b2d-dcac-476e-8442-fcea34ac0fd2,
  abstract     = {{A distortional hardening elasto-plastic model at finite strains suitable for modeling of orthotropic materials is presented. As a prototype material, paperboard is considered. An in-plane model is established. The model developed is motivated from non-proportional loading tests on paperboard where the paperboard is pre-strained in one direction and then loaded in the perpendicular direction. A softening effect is revealed in the pre-strained samples. The observed experimental findings cannot be accurately predicted by current models for paperboard. To be able to model the softening effects, a yield surface based on multiple hardening variables is introduced. It is shown that the model parameters can be obtained from simple uniaxial experiments. The model is implemented in a finite element framework which is used to illustrate the behavior of the model at some specific loading situations and is compared with strain fields obtained from Digital Image Correlation experiments.}},
  author       = {{Borgqvist, Eric and Lindström, Tommy and Tryding, Johan and Wallin, Mathias and Ristinmaa, Matti}},
  issn         = {{0020-7683}},
  keywords     = {{Distortion hardening; Paperboard; Anisotropy; Plasticity; Finite strains; Polyconvexity}},
  language     = {{eng}},
  number       = {{13}},
  pages        = {{2411--2423}},
  publisher    = {{Elsevier}},
  series       = {{International Journal of Solids and Structures}},
  title        = {{Distortional hardening plasticity model for paperboard}},
  url          = {{http://dx.doi.org/10.1016/j.ijsolstr.2014.03.013}},
  doi          = {{10.1016/j.ijsolstr.2014.03.013}},
  volume       = {{51}},
  year         = {{2014}},
}