Coupled electro-elastic deformation and instabilities of a toroidal membrane

Liu, Z. , McBride, A. , Sharma, B. L., Steinmann, P. and Saxena, P. (2021) Coupled electro-elastic deformation and instabilities of a toroidal membrane. Journal of the Mechanics and Physics of Solids, 151, 104221. (doi: 10.1016/j.jmps.2020.104221)

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We analyse here the problem of large deformation of dielectric elastomeric membranes under coupled electromechanical loading. Extremely large deformations (enclosed volume changes of 100 times and greater) of a toroidal membrane are studied by the use of a variational formulation that accounts for the total energy due to mechanical and electrical fields. A modified shooting method is adopted to solve the resulting system of coupled and highly nonlinear ordinary differential equations. We demonstrate the occurrence of limit point, wrinkling, and symmetry-breaking buckling instabilities in the solution of this problem. Onset of each of these “reversible” instabilities depends significantly on the ratio of the mechanical load to the electric load, thereby providing a control mechanism for state switching.

Item Type:Articles
Additional Information:Basant Lal Sharma acknowledges the partial support of MATRICS grant number MTR/2017/000013 379 from the Science and Engineering Research Board. 380 Paul Steinmann also gratefully acknowledges financial support for this work by the Deutsche Forschungs381 gemeinschaft under GRK2495/B.
Glasgow Author(s) Enlighten ID:McBride, Professor Andrew and Liu, Dr Zhaowei and Saxena, Dr Prashant and Steinmann, Professor Paul
Authors: Liu, Z., McBride, A., Sharma, B. L., Steinmann, P., and Saxena, P.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Journal of the Mechanics and Physics of Solids
ISSN (Online):1873-4782
Published Online:11 November 2020
Copyright Holders:Copyright © 2020 Elsevier Ltd.
First Published:First published in Journal of the Mechanics and Physics of Solids 151: 104221
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
300129Strategic Support Package: Engineering of Active Materials by Multiscale/Multiphysics Computational MechanicsChristopher PearceEngineering and Physical Sciences Research Council (EPSRC)EP/R008531/1ENG - Infrastructure & Environment