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Response of moist paperboard during rapid compression and heating

Askfelt, Henrik LU and Ristinmaa, Matti LU (2017) In Applied Mathematical Modelling 42. p.114-132
Abstract

The response of moist paperboard exposed to extensive compression and heating in short periods of time is investigated. A generic framework describing this response, in a thermodynamically consistent manner, has been derived previously. The present paper provides explicit formats of the necessary constitutive relations specific to moist paperboard exposed to extensive compression and heating in short periods of time. The transient transports of mass, momentum and energy, as well as specific interaction terms are considered for orthotropic paperboard. The elasto-plastic response is taken into account in a large strain setting. The exchange of mass between the water bound to the fibers and the water vapor during the sealing is also... (More)

The response of moist paperboard exposed to extensive compression and heating in short periods of time is investigated. A generic framework describing this response, in a thermodynamically consistent manner, has been derived previously. The present paper provides explicit formats of the necessary constitutive relations specific to moist paperboard exposed to extensive compression and heating in short periods of time. The transient transports of mass, momentum and energy, as well as specific interaction terms are considered for orthotropic paperboard. The elasto-plastic response is taken into account in a large strain setting. The exchange of mass between the water bound to the fibers and the water vapor during the sealing is also considered. Simulations of an idealized sealing of two sheets of paperboard are performed and the predicted distributions of temperature, vapor pressure, out-of-plane stress and Forchheimer number are studied. The discussion related to the results from the simulations provides a deeper insight to how the different transport processes will affect the paperboard and how these are coupled. The closed system of equations, including the explicit formats of constitutive relations, provided in this paper makes it possible to set up suitable experiments for validation of the model.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Anisotropy, Dynamic mass exchange, Hybrid mixture theory, Paperboard, Porous media
in
Applied Mathematical Modelling
volume
42
pages
19 pages
publisher
Elsevier Inc.
external identifiers
  • scopus:85003906203
  • wos:000390501900008
ISSN
0307-904X
DOI
10.1016/j.apm.2016.10.024
language
English
LU publication?
yes
id
11d5fa57-11e3-4da6-bccc-5a4f573d8ddb
date added to LUP
2017-02-03 12:04:03
date last changed
2018-01-07 11:47:57
@article{11d5fa57-11e3-4da6-bccc-5a4f573d8ddb,
  abstract     = {<p>The response of moist paperboard exposed to extensive compression and heating in short periods of time is investigated. A generic framework describing this response, in a thermodynamically consistent manner, has been derived previously. The present paper provides explicit formats of the necessary constitutive relations specific to moist paperboard exposed to extensive compression and heating in short periods of time. The transient transports of mass, momentum and energy, as well as specific interaction terms are considered for orthotropic paperboard. The elasto-plastic response is taken into account in a large strain setting. The exchange of mass between the water bound to the fibers and the water vapor during the sealing is also considered. Simulations of an idealized sealing of two sheets of paperboard are performed and the predicted distributions of temperature, vapor pressure, out-of-plane stress and Forchheimer number are studied. The discussion related to the results from the simulations provides a deeper insight to how the different transport processes will affect the paperboard and how these are coupled. The closed system of equations, including the explicit formats of constitutive relations, provided in this paper makes it possible to set up suitable experiments for validation of the model.</p>},
  author       = {Askfelt, Henrik and Ristinmaa, Matti},
  issn         = {0307-904X},
  keyword      = {Anisotropy,Dynamic mass exchange,Hybrid mixture theory,Paperboard,Porous media},
  language     = {eng},
  month        = {02},
  pages        = {114--132},
  publisher    = {Elsevier Inc.},
  series       = {Applied Mathematical Modelling},
  title        = {Response of moist paperboard during rapid compression and heating},
  url          = {http://dx.doi.org/10.1016/j.apm.2016.10.024},
  volume       = {42},
  year         = {2017},
}