Analysis of Instabilities in the Deformation of Magnetoelastic Membranes

Saxena, Prashant and Reddy, N H and Pradhan, S P (2019) Analysis of Instabilities in the Deformation of Magnetoelastic Membranes. In: 4th Indian Conference on Applied Mechanics, 3-5 July 2019, Bangalore, India.


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We study the inflation of weakly magnetizable isotropic membranes in the presence of externally applied magnetic field. The relevant governing equations, boundary conditions, and stability criteria are derived from a variational formulation and computational solutions are obtained for three geometries - circular, cylindrical, and toroidal membranes. It is observed that magnetic field can alter the onset of elastic limit point instability and introduce new magnetic limit points. Multiple stable equilibrium configurations are predicted for a given coupled load. We also observe induction of wrinkling in the membrane due to the magnetic field.

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Item Type: Conference or Workshop Item (Paper)
Subjects: Physics > Mechanical and aerospace
Divisions: Department of Mechanical & Aerospace Engineering
Depositing User: Team Library
Date Deposited: 02 Aug 2019 04:30
Last Modified: 02 Aug 2019 04:30
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