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Modeling of the long-term behavior of glassy polymers

Holopainen, Sami and Wallin, Mathias LU (2012) In Journal of Engineering Materials and Technology 135(1).
Abstract
The constitutive model for glassy polymers proposed by Arruda and Boyce (BPA model) is reviewed and compared to experimental data for long-term loading. The BPA model has previously been shown to capture monotonic loading accurately, but for unloading and long-term behavior, the response of the BPA model is found to deviate from experimental data. In the present paper, we suggest an efficient extension that significantly improves the predictive capability of the BPA model during unloading and long-term recovery. The new, extended BPA model (EBPA model) is calibrated to experimental data of polycarbonate (PC) in various loading-unloading situations and deformation states. The numerical treatment of the BPA model associated with the finite... (More)
The constitutive model for glassy polymers proposed by Arruda and Boyce (BPA model) is reviewed and compared to experimental data for long-term loading. The BPA model has previously been shown to capture monotonic loading accurately, but for unloading and long-term behavior, the response of the BPA model is found to deviate from experimental data. In the present paper, we suggest an efficient extension that significantly improves the predictive capability of the BPA model during unloading and long-term recovery. The new, extended BPA model (EBPA model) is calibrated to experimental data of polycarbonate (PC) in various loading-unloading situations and deformation states. The numerical treatment of the BPA model associated with the finite element analysis is also discussed. As a consequence of the anisotropic hardening, the plastic spin enters the model. In order to handle the plastic spin in a finite element formulation, an algorithmic plastic spin is introduced. In conjunction with the backward Euler integration scheme use of the algorithmic plastic spin leads to a set of algebraic equations that provides the updated state. Numerical examples reveal that the proposed numerical algorithm is robust and well suited for finite element simulations. (Less)
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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Engineering Materials and Technology
volume
135
issue
1
article number
MATS-12-1055
pages
11 pages
publisher
American Society Of Mechanical Engineers (ASME)
external identifiers
  • wos:000314746800001
  • scopus:84871898162
ISSN
0094-4289
DOI
10.1115/1.4007499
language
English
LU publication?
yes
id
4f13c375-5146-4785-bab4-98a41a4c0217 (old id 3164163)
date added to LUP
2016-04-01 10:30:30
date last changed
2022-03-04 20:15:23
@article{4f13c375-5146-4785-bab4-98a41a4c0217,
  abstract     = {{The constitutive model for glassy polymers proposed by Arruda and Boyce (BPA model) is reviewed and compared to experimental data for long-term loading. The BPA model has previously been shown to capture monotonic loading accurately, but for unloading and long-term behavior, the response of the BPA model is found to deviate from experimental data. In the present paper, we suggest an efficient extension that significantly improves the predictive capability of the BPA model during unloading and long-term recovery. The new, extended BPA model (EBPA model) is calibrated to experimental data of polycarbonate (PC) in various loading-unloading situations and deformation states. The numerical treatment of the BPA model associated with the finite element analysis is also discussed. As a consequence of the anisotropic hardening, the plastic spin enters the model. In order to handle the plastic spin in a finite element formulation, an algorithmic plastic spin is introduced. In conjunction with the backward Euler integration scheme use of the algorithmic plastic spin leads to a set of algebraic equations that provides the updated state. Numerical examples reveal that the proposed numerical algorithm is robust and well suited for finite element simulations.}},
  author       = {{Holopainen, Sami and Wallin, Mathias}},
  issn         = {{0094-4289}},
  language     = {{eng}},
  number       = {{1}},
  publisher    = {{American Society Of Mechanical Engineers (ASME)}},
  series       = {{Journal of Engineering Materials and Technology}},
  title        = {{Modeling of the long-term behavior of glassy polymers}},
  url          = {{http://dx.doi.org/10.1115/1.4007499}},
  doi          = {{10.1115/1.4007499}},
  volume       = {{135}},
  year         = {{2012}},
}