Coupled electro-elastic deformation and instabilities of a toroidal membrane
Liu Z, Mcbride A, Sharma BL, Steinmann P, Saxena P (2021)
Publication Type: Journal article
Publication year: 2021
Journal
Book Volume: 151
DOI: 10.1016/j.jmps.2020.104221
Abstract
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.
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APA:
Liu, Z., Mcbride, A., Sharma, B.L., Steinmann, P., & Saxena, P. (2021). Coupled electro-elastic deformation and instabilities of a toroidal membrane. Journal of the Mechanics and Physics of Solids, 151. https://dx.doi.org/10.1016/j.jmps.2020.104221
MLA:
Liu, Zhaowei, et al. "Coupled electro-elastic deformation and instabilities of a toroidal membrane." Journal of the Mechanics and Physics of Solids 151 (2021).
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