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Framework for deformation induced anisotropy in glassy

Harrysson, Magnus LU ; Ristinmaa, Matti LU ; Wallin, Mathias LU and Menzel, Andreas LU (2010) In Acta Mechanica 211. p.195-213
Abstract
In this paper a constitutive model for glassy polymers is developed. Glassy polymers consist of a number of polymer chains that at a microscopic level form a network. If the distribution of the polymer chains shows some preferred direction, the mechanical response at a global macroscopic level will be anisotropic. To incorporate the orientational distribution of the polymer chains, a homogenization procedure involving a chain orientation distribution function was undertaken. When polymers are exposed to external loading, the chains at the microscopic level orient in a certain manner, leading to an evolution of the macroscopic anisotropic properties. This phenomenon was modeled by use of evolution equations for the chains at a microscopic... (More)
In this paper a constitutive model for glassy polymers is developed. Glassy polymers consist of a number of polymer chains that at a microscopic level form a network. If the distribution of the polymer chains shows some preferred direction, the mechanical response at a global macroscopic level will be anisotropic. To incorporate the orientational distribution of the polymer chains, a homogenization procedure involving a chain orientation distribution function was undertaken. When polymers are exposed to external loading, the chains at the microscopic level orient in a certain manner, leading to an evolution of the macroscopic anisotropic properties. This phenomenon was modeled by use of evolution equations for the chains at a microscopic level and are then—by using the orientation distribution function—transformed to the macroscopic level. The theories involved are developed in a large strain setting in which a multiplicative split of the deformation gradient for the elastic-viscoplastic response is adopted. Various numerical experiments were conducted to evaluate the model that was developed. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Acta Mechanica
volume
211
pages
195 - 213
publisher
Springer
external identifiers
  • wos:000276253200002
  • scopus:77951989125
ISSN
0001-5970
DOI
10.1007/s00707-009-0232-x
language
English
LU publication?
yes
id
c37bc655-a435-4e3e-aad2-aa21e269db4e (old id 1494556)
date added to LUP
2009-10-21 17:54:31
date last changed
2018-05-29 10:20:49
@article{c37bc655-a435-4e3e-aad2-aa21e269db4e,
  abstract     = {In this paper a constitutive model for glassy polymers is developed. Glassy polymers consist of a number of polymer chains that at a microscopic level form a network. If the distribution of the polymer chains shows some preferred direction, the mechanical response at a global macroscopic level will be anisotropic. To incorporate the orientational distribution of the polymer chains, a homogenization procedure involving a chain orientation distribution function was undertaken. When polymers are exposed to external loading, the chains at the microscopic level orient in a certain manner, leading to an evolution of the macroscopic anisotropic properties. This phenomenon was modeled by use of evolution equations for the chains at a microscopic level and are then—by using the orientation distribution function—transformed to the macroscopic level. The theories involved are developed in a large strain setting in which a multiplicative split of the deformation gradient for the elastic-viscoplastic response is adopted. Various numerical experiments were conducted to evaluate the model that was developed.},
  author       = {Harrysson, Magnus and Ristinmaa, Matti and Wallin, Mathias and Menzel, Andreas},
  issn         = {0001-5970},
  language     = {eng},
  pages        = {195--213},
  publisher    = {Springer},
  series       = {Acta Mechanica},
  title        = {Framework for deformation induced anisotropy in glassy},
  url          = {http://dx.doi.org/10.1007/s00707-009-0232-x},
  volume       = {211},
  year         = {2010},
}