Instabilities in the Deformation of Magnetoelastic Membranes

Saxena, P. (2019) Instabilities in the Deformation of Magnetoelastic Membranes. UKACM 2019, London, UK, 10-12 Apr 2019.

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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.

Item Type:Conference or Workshop Item
Glasgow Author(s) Enlighten ID:Saxena, Dr Prashant
Authors: Saxena, P.
Subjects:Q Science > QA Mathematics
T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TJ Mechanical engineering and machinery
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
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