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

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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
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 Maths
Depositing User: Symplectic
Date Deposited: 12 Nov 2018 08:43
Last Modified: 12 Nov 2018 08:43
URI: http://eprints.keele.ac.uk/id/eprint/5497

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