  We study in this article the asymptotic behavior of the Mindlin-Timoshenko
system subject to a nonlinear dissipation acting only on the equations of the
rotation angles. First, we briefly recall the existence of the solution of this
system. Then, we prove that the energy associated with the Mindlin-Timoshenko
system fulfills a dissipation relationship showing that the energy is
decreasing. Moreover, when the wave speeds are equal, we establish an explicit
and general decay result for the energy.
