On some mixed variational principles in electro-elastostatics

Vogel FA, Bustamante RA, Steinmann P (2012)

Publication Language: English

Publication Type: Journal article

Publication year: 2012


Publisher: Elsevier

Book Volume: 47

Pages Range: 341-354

Journal Issue: 2

DOI: 10.1016/j.ijnonlinmec.2011.08.001


Some mixed variational principles are presented for problems involving electro-elastic interactions, whereby the electric field follows from a scalar potential. Firstly, in order to set the stage, we consider the basic case of merely free space. Secondly, to increase the complexity, we immerse an electro-active but mechanically rigid body into vacuum. As our final goal we thirdly treat a geometrically non-linear deformable electro-elastic body that is surrounded by free space. Electro-elastic bodies are of particular interest since they can develop large elastic deformations as a response to the presence of electric fields. © 2011 Elsevier Ltd. All rights reserved.

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Vogel, F.A., Bustamante, R.A., & Steinmann, P. (2012). On some mixed variational principles in electro-elastostatics. International Journal of Non-Linear Mechanics, 47(2), 341-354. https://doi.org/10.1016/j.ijnonlinmec.2011.08.001


Vogel, Franziska Anna, Roger A. Bustamante, and Paul Steinmann. "On some mixed variational principles in electro-elastostatics." International Journal of Non-Linear Mechanics 47.2 (2012): 341-354.

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