TY - JOUR
T1 - Multiscale analysis of the electromechanical coupling in dielectric elastomers
AU - Cohen, Noy
AU - DeBotton, Gal
N1 - Funding Information:
This work was supported by the Israel Science Foundation founded by the Israel Academy of Sciences and Humanities (grant 1246/11 ).
Publisher Copyright:
© 2014 Elsevier Masson SAS. All rights reserved.
PY - 2014/1/1
Y1 - 2014/1/1
N2 - The coupled electromechanical response of dielectrics is analyzed in terms of the local response and the distribution of its microstructural unit elements. A comparison between two variational statements for a continuous and a discrete systems results in an estimate for the macroscopic coupled electromechanical energy-density function. Next, a few types of unit elements are considered and the corresponding behaviors of dielectrics with a random distribution of these elements are calculated. Additionally, to highlight the possible effect of local constraints among the unit elements, a deterministic model for a network of polymer chains is proposed and its response to electric excitation is determined. The practically common case of a uniaxial stretch aligned with the electric field is examined in detail and the results are compared with widely accepted macroscopic models and available experimental results.
AB - The coupled electromechanical response of dielectrics is analyzed in terms of the local response and the distribution of its microstructural unit elements. A comparison between two variational statements for a continuous and a discrete systems results in an estimate for the macroscopic coupled electromechanical energy-density function. Next, a few types of unit elements are considered and the corresponding behaviors of dielectrics with a random distribution of these elements are calculated. Additionally, to highlight the possible effect of local constraints among the unit elements, a deterministic model for a network of polymer chains is proposed and its response to electric excitation is determined. The practically common case of a uniaxial stretch aligned with the electric field is examined in detail and the results are compared with widely accepted macroscopic models and available experimental results.
KW - Dielectric elastomers
KW - Multi-scale analysis
KW - Variational principles
UR - http://www.scopus.com/inward/record.url?scp=85027938349&partnerID=8YFLogxK
U2 - 10.1016/j.euromechsol.2014.02.022
DO - 10.1016/j.euromechsol.2014.02.022
M3 - Article
AN - SCOPUS:85027938349
SN - 0997-7538
VL - 48
SP - 48
EP - 59
JO - European Journal of Mechanics, A/Solids
JF - European Journal of Mechanics, A/Solids
IS - 1
ER -