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Thermomechanical response of non-local porous material

Håkansson, Paul ; Wallin, Mathias LU and Ristinmaa, Matti LU orcid (2006) In International Journal of Plasticity 22(11). p.2066-2090
Abstract
A thermomechanical model of a porous material is presented. The constitutive model is based on the Gurson model, formulated within a thermodynamic framework and adapted to large deformations. The thermodynamic framework yields a heat equation that naturally includes the mechanical dissipation. To introduce a length scale, the Gurson model was enhanced through non-local effects of the porosity being taken into account. A numerical integration scheme of the constitutive model and the algorithmic stiffness tensor are derived. The integration of the plastic part of the deformation gradient is based on an exponential update operator, an eigenvalue decomposition is also being used to reduce the number of equations that need to be solved. The... (More)
A thermomechanical model of a porous material is presented. The constitutive model is based on the Gurson model, formulated within a thermodynamic framework and adapted to large deformations. The thermodynamic framework yields a heat equation that naturally includes the mechanical dissipation. To introduce a length scale, the Gurson model was enhanced through non-local effects of the porosity being taken into account. A numerical integration scheme of the constitutive model and the algorithmic stiffness tensor are derived. The integration of the plastic part of the deformation gradient is based on an exponential update operator, an eigenvalue decomposition is also being used to reduce the number of equations that need to be solved. The coupled problem that arises is dealt with by employing a staggered solution method. To examine the capabilities of the model, shear band formation in a thick disc and crack growth in a thick notched disc were investigated. (c) 2006 Elsevier Ltd. All rights reserved. (Less)
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
heat generation, non-local damage, Gurson, thermoplasticity
in
International Journal of Plasticity
volume
22
issue
11
pages
2066 - 2090
publisher
Elsevier
external identifiers
  • wos:000239827200004
  • scopus:33745923783
ISSN
0749-6419
DOI
10.1016/j.ijplas.2005.08.003
language
English
LU publication?
yes
id
eb0b584f-f01a-42f4-8bd1-dddbd8b7bf41 (old id 397407)
date added to LUP
2016-04-01 16:09:49
date last changed
2021-09-15 02:09:07
@article{eb0b584f-f01a-42f4-8bd1-dddbd8b7bf41,
  abstract     = {A thermomechanical model of a porous material is presented. The constitutive model is based on the Gurson model, formulated within a thermodynamic framework and adapted to large deformations. The thermodynamic framework yields a heat equation that naturally includes the mechanical dissipation. To introduce a length scale, the Gurson model was enhanced through non-local effects of the porosity being taken into account. A numerical integration scheme of the constitutive model and the algorithmic stiffness tensor are derived. The integration of the plastic part of the deformation gradient is based on an exponential update operator, an eigenvalue decomposition is also being used to reduce the number of equations that need to be solved. The coupled problem that arises is dealt with by employing a staggered solution method. To examine the capabilities of the model, shear band formation in a thick disc and crack growth in a thick notched disc were investigated. (c) 2006 Elsevier Ltd. All rights reserved.},
  author       = {Håkansson, Paul and Wallin, Mathias and Ristinmaa, Matti},
  issn         = {0749-6419},
  language     = {eng},
  number       = {11},
  pages        = {2066--2090},
  publisher    = {Elsevier},
  series       = {International Journal of Plasticity},
  title        = {Thermomechanical response of non-local porous material},
  url          = {http://dx.doi.org/10.1016/j.ijplas.2005.08.003},
  doi          = {10.1016/j.ijplas.2005.08.003},
  volume       = {22},
  year         = {2006},
}