Abstract:The direct finite element method is used to solve a L-S type generalized electromagneto-thermoelastic coupled dynamic problem of a rotating half-space. The results show that the method is very valid to obtain high calculation accuracy for L-S type generalized two-dimensional electromagneto-themoelastic coupled rotating problem subject to a thermal shock.. The L-S type generalized electromagneto-thermoelastic coupled governing equations are given, the general form of virtual displacement principle as well as the corresponding finite element equations are formulated in this paper. The distributions of dimensionless temperature, dimensionless displacement, dimensionless stress and dimensionless induced magnetic field are displayed graphically. From the distribution of temperate, the unique characteristic of heat wave front can be observed clearly in the location of heat wave front where a sharp change of temperature occurs. And it also can be found that rotation acts to decrease the magnitude of the real part of displacement, stress, induced magnetic field and insignificantly affect the magnitude of temperature.