Magnetothermodynamic stress and perturbation of magnetic field vector in a non-homogeneous thermoelastic cylinder

摘要

This paper presents a theoretical method for analyzing magnetothermoelastic responses and perturbation of the magnetic field vector in a conducting non-homogeneous thermoelastic cylinder subjected to thermal shock. By making use of finite Hankie integral transforms the analytical expressions for magnetothermodynamic stress and perturbation response of an axial magnetic field vector in the non-homogeneous cylinder are obtained. From sample numerical calculations both magnetothermostress and perturbation of the axial magnetic field vector in a non-homogeneous cylinder is revealed and discussed.