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Mixture theory for a thermoelasto-plastic porous solid considering fluid flow and internal mass exchange

Ristinmaa, Matti LU ; Ottosen, Niels Saabye LU and Johannesson, Björn (2011) In International Journal of Engineering Science 49(11). p.1185-1203
Abstract
A thermoelastic–plastic body consisting of two phases, a solid and a fluid, each comprising two constituents is considered where one constituent in one phase is allowed to exchange mass with another constituent (of the same substance) in the other phase. A large strain setting is adopted and the formulation applies to general anisotropy and the existence of residual stresses. Generalized forms of Fourier’s, Fick’s and Darcy’s laws are derived and also the stresses on the constituent, phase and mixture level are established; in addition, the evolution law for general plasticity is given. Finally, and in particular, a general evolution law for the rate of deformation tensor related to mass exchange is proposed and this leads to general... (More)
A thermoelastic–plastic body consisting of two phases, a solid and a fluid, each comprising two constituents is considered where one constituent in one phase is allowed to exchange mass with another constituent (of the same substance) in the other phase. A large strain setting is adopted and the formulation applies to general anisotropy and the existence of residual stresses. Generalized forms of Fourier’s, Fick’s and Darcy’s laws are derived and also the stresses on the constituent, phase and mixture level are established; in addition, the evolution law for general plasticity is given. Finally, and in particular, a general evolution law for the rate of deformation tensor related to mass exchange is proposed and this leads to general absorption and desorption evolution laws for mass exchange between two constituents (of the same substance), one belonging to the solid phase and the other to the fluid phase. Equilibrium curves for absorption and desorption also emerge from the theory. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Mixture theory, Mass exchange, Porous material, Large strain, Growth/swelling
in
International Journal of Engineering Science
volume
49
issue
11
pages
1185 - 1203
publisher
Elsevier
external identifiers
  • wos:000295654100002
  • scopus:80052954203
ISSN
0020-7225
DOI
10.1016/j.ijengsci.2011.07.001
language
English
LU publication?
yes
id
0fe817cd-4f1f-45f8-a297-274810cb23c3 (old id 2204098)
date added to LUP
2011-11-14 10:08:25
date last changed
2017-01-01 03:51:11
@article{0fe817cd-4f1f-45f8-a297-274810cb23c3,
  abstract     = {A thermoelastic–plastic body consisting of two phases, a solid and a fluid, each comprising two constituents is considered where one constituent in one phase is allowed to exchange mass with another constituent (of the same substance) in the other phase. A large strain setting is adopted and the formulation applies to general anisotropy and the existence of residual stresses. Generalized forms of Fourier’s, Fick’s and Darcy’s laws are derived and also the stresses on the constituent, phase and mixture level are established; in addition, the evolution law for general plasticity is given. Finally, and in particular, a general evolution law for the rate of deformation tensor related to mass exchange is proposed and this leads to general absorption and desorption evolution laws for mass exchange between two constituents (of the same substance), one belonging to the solid phase and the other to the fluid phase. Equilibrium curves for absorption and desorption also emerge from the theory.},
  author       = {Ristinmaa, Matti and Ottosen, Niels Saabye and Johannesson, Björn},
  issn         = {0020-7225},
  keyword      = {Mixture theory,Mass exchange,Porous material,Large strain,Growth/swelling},
  language     = {eng},
  number       = {11},
  pages        = {1185--1203},
  publisher    = {Elsevier},
  series       = {International Journal of Engineering Science},
  title        = {Mixture theory for a thermoelasto-plastic porous solid considering fluid flow and internal mass exchange},
  url          = {http://dx.doi.org/10.1016/j.ijengsci.2011.07.001},
  volume       = {49},
  year         = {2011},
}