Temperature dependence of the magnetoimpedance and its relaxation has been measured in amorphous ferromagnetic wires. The presence of several peaks in the frequency dependence of the magneoimpedance is ascribed to the magnetoelastic resonance of standing waves in the circular direction. A core-shell model that includes a term accounting for the magnetic looses interprets the analysis of the phase angle of the complex impedance. It is also observed a time evolution of the impedance that reveals the existence of magnetic after effect with a maximum at temperatures close to 350 K.