  We derive a model for the finite motion of a magneto-elastic rod reinforced
with isotropic (spherical) or anisotropic (ellipsoidal) inclusions. The
particles are assumed weakly and uniformly magnetised, rigid and firmly
embedded into the elastomeric matrix. We deduce closed form expressions of the
quasi-static motion of the rod in terms of the external magnetic field and of
the body forces. The dependences of the motion on the shape of the inclusions,
their orientation, their anisotropic magnetic properties and the Young modulus
of the matrix are analysed and discussed. Two case studies are presented in
which the rod is used as an actuator suspended in a cantilever configuration.
This work can foster new applications in the field of soft-actuators.
