To clarify the influence of the electromagneto-mechanical coupling effect due to the additional electric field induced by the velocity effect on the simulation of EMAT signals, a numerical scheme and corresponding code are developed for structures of ferromagnetic material with consideration of coupling effect. Through introducing the term to the governing equation of eddy current problem, the reduced vector potential (Ar) method and a step by step time integration algorithm were adopted for simulation. The simulation results demonstrated that the proposed numerical algorithm and the corresponding code are efficient. To investigate the influence of the coupling effect, EMAT signals of different condition were simulated by using both the codes with and without the coupling effect. It is demonstrated that the coupling effect does not give significant influence on the EMAT signals, which could be ignored in practice.