Electroelastic plate instabilities based on the Stroh method in terms of the energy function Ω*(F, DL)

Dorfmann, L. and Ogden, R. W. (2019) Electroelastic plate instabilities based on the Stroh method in terms of the energy function Ω*(F, DL). Mechanics Research Communications, 96, pp. 67-74. (doi:10.1016/j.mechrescom.2019.03.002)

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Abstract

The stability of an electroelastic dielectric elastomer plate with compliant electrodes on its major surfaces under an applied potential difference is examined on the basis of the incremental theory of electroelastic fields. The Stroh method of analysis of the governing equations is used with the material constitutive law given in terms of the energy function Ω*(F, DL), where F is the deformation gradient and DL is the Lagrangian electric displacement field. For a particular class of energy functions, explicit bifurcation equations are obtained for antisymmetric and symmetric modes of instability and the results are illustrated for a Gent electroelastic material model with different values of the Gent parameter. This work confirms previous results obtained in terms of the energy function Ω(F, EL), where EL is the Lagrangian electric field.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Ogden, Professor Raymond
Authors: Dorfmann, L., and Ogden, R. W.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Mechanics Research Communications
Journal Abbr.:MRC
Publisher:Elsevier
ISSN:0093-6413
ISSN (Online):1873-3972
Published Online:07 March 2019

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