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A reduced model for electrodes-coated dielectric plates


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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.


Fu. (2018). A reduced model for electrodes-coated dielectric plates. International Journal of Non-Linear Mechanics, 60-69.

Acceptance Date Sep 3, 2018
Publication Date Sep 6, 2018
Journal International Journal of Non-Linear Mechanics
Print ISSN 0020-7462
Publisher Elsevier
Pages 60-69
Keywords Nonlinear electroelasticity; Dielectric membranes; Euler–Lagrange equations; Stability; Bifurcation
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