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Fu, Y, Xie, YX and Dorfmann, L (2018) A reduced model for electrodes-coated dielectric plates. International Journal of Non-Linear Mechanics, 106. pp. 60-69. ISSN 0020-7462
fu-dorfmann-xie-2018-IJNM-RR.pdf - Accepted Version
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Abstract
We derive a reduced theory describing the incremental deformation of an electrodes-coated dielectric plate that takes the leading-order thickness effect into account. By focusing on deformations that are symmetric with respect to the mid-plane, a power series expansion of the incremental deformation and electric field in the thickness direction is used to reduce the second variation of the total energy to an optimal form. The associated Euler–Lagrange equations are then the governing equations for the reduced model. The validity of this reduced model is verified by comparing the bifurcation condition derived from it with the two-term expansion of the exact bifurcation condition in two special cases. We compare our model with another approximate theory that recently appeared in the literature.
Item Type: | Article |
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Additional Information: | The final version of this article can be accessed online at https://www.sciencedirect.com/science/article/pii/S0020746218301069?via%3Dihub |
Uncontrolled Keywords: | Nonlinear electroelasticity; Dielectric membranes; Euler–Lagrange equations; Stability; Bifurcation |
Subjects: | Q Science > QA Mathematics |
Divisions: | Faculty of Natural Sciences > School of Computing and Mathematics |
Depositing User: | Symplectic |
Date Deposited: | 12 Nov 2018 08:43 |
Last Modified: | 06 Sep 2019 01:30 |
URI: | https://eprints.keele.ac.uk/id/eprint/5497 |