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A numerical method for the evaluation of non-linear transient moisture flow in cellulosic materials

Nyman, Ulf LU ; Gustafsson, Per-Johan LU ; Johannesson, Björn LU and Hagglund, R (2006) In International Journal for Numerical Methods in Engineering 66(12). p.1859-1883
Abstract
A numerical method for the transient moisture flow in porous cellulosic materials like paper and wood is presented. The derivation of the model is based on mass conservation for a mixture containing a vapour phase and an adsorbed water phase embedded in a porous solid material. The principle of virtual moisture concentrations in conjunction with a consistent linearization procedure is used to produce the iterative finite element equations. A monolithic solution strategy is chosen in order to solve the coupled non-symmetric equation system. A model for the development of higher order sorption hysteresis is also developed. The model is capable of describing cyclic hardening as well as cyclic softening of the equilibrium water concentration.... (More)
A numerical method for the transient moisture flow in porous cellulosic materials like paper and wood is presented. The derivation of the model is based on mass conservation for a mixture containing a vapour phase and an adsorbed water phase embedded in a porous solid material. The principle of virtual moisture concentrations in conjunction with a consistent linearization procedure is used to produce the iterative finite element equations. A monolithic solution strategy is chosen in order to solve the coupled non-symmetric equation system. A model for the development of higher order sorption hysteresis is also developed. The model is capable of describing cyclic hardening as well as cyclic softening of the equilibrium water concentration. The model is verified by comparison with the measured response to natural variations in temperature and humidity. A close agreement of the simulated results to measured data is found. Copyright (c) 2005 John Wiley & Sons, Ltd. (Less)
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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
paper material, hysteresis, sorption, moisture transport, mixture model, multiphase model, virtual moisture concentration
in
International Journal for Numerical Methods in Engineering
volume
66
issue
12
pages
1859 - 1883
publisher
John Wiley and Sons
external identifiers
  • wos:000238703200002
  • scopus:33745455370
ISSN
1097-0207
DOI
10.1002/nme.1597
language
English
LU publication?
yes
id
762255ac-ecbe-4ea1-bfa1-70c06625804b (old id 404532)
date added to LUP
2016-04-01 12:14:15
date last changed
2021-10-06 05:05:25
@article{762255ac-ecbe-4ea1-bfa1-70c06625804b,
  abstract     = {A numerical method for the transient moisture flow in porous cellulosic materials like paper and wood is presented. The derivation of the model is based on mass conservation for a mixture containing a vapour phase and an adsorbed water phase embedded in a porous solid material. The principle of virtual moisture concentrations in conjunction with a consistent linearization procedure is used to produce the iterative finite element equations. A monolithic solution strategy is chosen in order to solve the coupled non-symmetric equation system. A model for the development of higher order sorption hysteresis is also developed. The model is capable of describing cyclic hardening as well as cyclic softening of the equilibrium water concentration. The model is verified by comparison with the measured response to natural variations in temperature and humidity. A close agreement of the simulated results to measured data is found. Copyright (c) 2005 John Wiley & Sons, Ltd.},
  author       = {Nyman, Ulf and Gustafsson, Per-Johan and Johannesson, Björn and Hagglund, R},
  issn         = {1097-0207},
  language     = {eng},
  number       = {12},
  pages        = {1859--1883},
  publisher    = {John Wiley and Sons},
  series       = {International Journal for Numerical Methods in Engineering},
  title        = {A numerical method for the evaluation of non-linear transient moisture flow in cellulosic materials},
  url          = {http://dx.doi.org/10.1002/nme.1597},
  doi          = {10.1002/nme.1597},
  volume       = {66},
  year         = {2006},
}