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Magnetoelasticity of highly deformable thin films: Theory and simulation

Abstract : A non-linear two-dimensional theory is developed for thin magnetoelastic films capable of large deformations. This is derived directly from the three-dimensional theory. Significant simplifications emerge in the descent from three dimensions to two, permitting the self-field generated by the body to be computed a posteriori. The model is specialized to isotropic elastomers and numerical solutions are obtained to equilibrium boundary-value problems in which the membrane is subjected to lateral pressure and an applied magnetic field.
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Submitted on : Monday, February 11, 2013 - 12:08:19 PM
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  • HAL Id : hal-00787077, version 1


Matthew Barham, David Steigmann, Dan White. Magnetoelasticity of highly deformable thin films: Theory and simulation. International Journal of Non-Linear Mechanics, Elsevier, 2012, 47 (2), pp.185-196. ⟨hal-00787077⟩



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