A nonlinear theory for fibre-reinforced magneto-elastic rods
We derive a model for the finite motion of a fibre-reinforced magneto-elastic rod. The reinforcing particles are assumed weakly and uniformly magnetized, 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 ext...
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Published in | Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Vol. 474; no. 2209; pp. 1 - 20 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
THE ROYAL SOCIETY
31.01.2018
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Online Access | Get full text |
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Summary: | We derive a model for the finite motion of a fibre-reinforced magneto-elastic rod. The reinforcing particles are assumed weakly and uniformly magnetized, 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. |
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ISSN: | 1364-5021 1471-2946 |