Thermomechanical response of non-local porous material
Håkansson, Paul LU ; Wallin, Mathias LU and Ristinmaa, Matti LU
(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:
https://lup.lub.lu.se/record/397407
- author
- Håkansson, Paul
LU
; Wallin, Mathias
LU
and Ristinmaa, Matti
LU
- organization
- publishing date
- 2006
- 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
- 2022-01-28 17:44:35
@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}},
keywords = {{heat generation; non-local damage; Gurson; thermoplasticity}},
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}},
}