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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1494556
- author
- Harrysson, Magnus
LU
; Ristinmaa, Matti
LU
; Wallin, Mathias
LU
and Menzel, Andreas
LU
- organization
- publishing date
- 2010
- 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
- 2016-04-01 11:12:48
- date last changed
- 2022-01-26 06:13:08
@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}},
doi = {{10.1007/s00707-009-0232-x}},
volume = {{211}},
year = {{2010}},
}