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Towards a physics-based multiscale modelling of the electro-mechanical coupling in electro-active polymers

Cohen, Noy; Menzel, Andreas LU and DeBotton, Gal (2016) In Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences 472(2186).
Abstract

Owing to the increasing number of industrial applications of electro-active polymers (EAPs), there is a growing need for electromechanical models which accurately capture their behaviour. To this end, we compare the predicted behaviour of EAPs undergoing homogeneous deformations according to three electromechanical models. The first model is a phenomenological continuumbased model composed of the mechanical Gent model and a linear relationship between the electric field and the polarization. The electrical and the mechanical responses according to the second model are based on the physical structure of the polymer chain network. The third model incorporates a neo-Hookean mechanical response and a physically motivated microstructurally... (More)

Owing to the increasing number of industrial applications of electro-active polymers (EAPs), there is a growing need for electromechanical models which accurately capture their behaviour. To this end, we compare the predicted behaviour of EAPs undergoing homogeneous deformations according to three electromechanical models. The first model is a phenomenological continuumbased model composed of the mechanical Gent model and a linear relationship between the electric field and the polarization. The electrical and the mechanical responses according to the second model are based on the physical structure of the polymer chain network. The third model incorporates a neo-Hookean mechanical response and a physically motivated microstructurally based long-chains model for the electrical behaviour. In the microstructural-motivated models, the integration from the microscopic to the macroscopic levels is accomplished by the micro-sphere technique. Four types of homogeneous boundary conditions are considered and the behaviours determined according to the three models are compared. For the microstructurally motivated models, these analyses are performed and compared with the widely used phenomenological model for the first time. Some of the aspects revealed in this investigation, such as the dependence of the intensity of the polarization field on the deformation, highlight the need for an in-depth investigation of the relationships between the structure and the behaviours of the EAPs at the microscopic level and their overall macroscopic response.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Dielectrics, Electro-active polymers, Electromechanical coupling, Multi-scale analysis
in
Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences
volume
472
issue
2186
publisher
Royal Society
external identifiers
  • Scopus:84960539570
ISSN
1364-5021
DOI
10.1098/rspa.2015.0462
language
English
LU publication?
yes
id
d3873c09-3e6a-4893-babf-db849520e735
date added to LUP
2016-09-20 08:22:38
date last changed
2016-09-21 03:00:08
@misc{d3873c09-3e6a-4893-babf-db849520e735,
  abstract     = {<p>Owing to the increasing number of industrial applications of electro-active polymers (EAPs), there is a growing need for electromechanical models which accurately capture their behaviour. To this end, we compare the predicted behaviour of EAPs undergoing homogeneous deformations according to three electromechanical models. The first model is a phenomenological continuumbased model composed of the mechanical Gent model and a linear relationship between the electric field and the polarization. The electrical and the mechanical responses according to the second model are based on the physical structure of the polymer chain network. The third model incorporates a neo-Hookean mechanical response and a physically motivated microstructurally based long-chains model for the electrical behaviour. In the microstructural-motivated models, the integration from the microscopic to the macroscopic levels is accomplished by the micro-sphere technique. Four types of homogeneous boundary conditions are considered and the behaviours determined according to the three models are compared. For the microstructurally motivated models, these analyses are performed and compared with the widely used phenomenological model for the first time. Some of the aspects revealed in this investigation, such as the dependence of the intensity of the polarization field on the deformation, highlight the need for an in-depth investigation of the relationships between the structure and the behaviours of the EAPs at the microscopic level and their overall macroscopic response.</p>},
  author       = {Cohen, Noy and Menzel, Andreas and DeBotton, Gal},
  issn         = {1364-5021},
  keyword      = {Dielectrics,Electro-active polymers,Electromechanical coupling,Multi-scale analysis},
  language     = {eng},
  month        = {02},
  number       = {2186},
  publisher    = {ARRAY(0x9588048)},
  series       = {Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences},
  title        = {Towards a physics-based multiscale modelling of the electro-mechanical coupling in electro-active polymers},
  url          = {http://dx.doi.org/10.1098/rspa.2015.0462},
  volume       = {472},
  year         = {2016},
}