关键词: 广义热弹性理论, 旋转效应, 半无限长杆件, 电磁热弹耦合, 拉普拉斯变换

Abstract: Based on Lord and Shulman’s generalized thermoelastic theory, the generalized magneto-thermoelastic coupled problem for a semi-infinitely long rotating bar was studied. Maxwell equations in medium were given, the generalized electromagneto-thermoelastic coupled governing equations of L-S type were established. The problem was solved by means of Laplace transform and numerical Laplace inversion. The distributions of temperature, radial stress, displacement, induced magnetic field as well as induced electric field for the semi-infinitely long rotating bar subjected to a thermal shock were represented graphically. From the distributions, it can be found that the medium exibits the heat wave effect and electromagneto-thermoelastic coupled effects. And it can also be found that rotation acts to significantly increase the magnitude of the real part of displacement and radial stress, and insignificantly affects the magnitude of induced magnetic field and induced electric field and temperature.

Key words: generalized thermoelastic theory, rotation effect, semi-infinitely bar, electromagneto-thermoelastic coupled, Laplace transform