A nonlinear theory for fibre-reinforced magneto-elastic rods

Jacopo Ciambella, Antonino Favata, Giuseppe Tomassetti
2018 Proceedings of the Royal Society A  
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
more » ... c 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.
doi:10.1098/rspa.2017.0703 fatcat:ryj7jxt7sbbuxboxrqbymyr4le