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

Journal of the Mechanics and Physics of Solids Elsevier

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.

Authors with CRIS profile

Paul Steinmann Lehrstuhl für Technische Mechanik (LTM)

Additional Organisation(s)

Graduiertenkolleg 2495/2 Energiekonvertierungssysteme: von Materialien zu Bauteilen (Energy Conversion Systems: From Materials to Devices)

Involved external institutions

University of Glasgow GB United Kingdom (GB) Indian Institute of Technology Kanpur (IITK) IN India (IN)

How to cite

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://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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