Magneto-thermo-elasticity of an electroconductive circular cylindrical shell featuring nonlinear deformations

The magneto-thermo-elastic interactions of a circular cylindrical shell immersed in applied magnetic and thermal fields are modeled and the shell’ nonlinear response and stability are investigated. The shell is made of a transversely isotropic, perfectly electroconductive non-ferromagnetic material. The shell’s deformation is characterized by small strains and moderately small rotations. A geometrically nonlinear, first-order transverse shear deformation shell model is developed and Galerkin’s method is used for spatial semi-discretization. The close connection between the static nonlinear response and the temperature-frequency interaction is explored to interpret the multi-solutions of the nonlinear response. Influence of prebuckling deformations on the buckling results is addressed and the significance of the applied magnetic fields on the response and stability is evaluated.