Magnetoelasticity of highly deformable thin films: Theory and simulation

Matthew Barham (1, 2) , David Steigmann (1) , Dan White (2)

1 Department of Mechanical Engineering [Berkeley]
2 LLNL - Lawrence Livermore National Laboratory

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.

Domaines: Mécanique [physics.med-ph]

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