Fully non-linear magnetoelastic interactions of a circular cylindrical thin shell subject to electromagnetic fields

By using the mixed Lagrangian–Eulerian description and adopting the von Kármán's strain approximation, the non-linear magnetoelastic interactions of a circular cylindrical thin shell experiencing moderately large deflections are fully explored. The shell is assumed to be perfectly electroconductive and immersed in an applied magnetic field and carrying electric current. The magnetoelastic loads acting on the shell associated with the Lorentz forces and Maxwell's stress jumps are explicitly represented and the approximated governing systems for the induced magnetic fields outside the shell in total Lagrangian description are obtained. Case study on a shell's cross section model is conducted and pertinent conclusions are drawn.