A generalized variational principle and theoretical model for magnetoelastic interaction of ferromagnetic bodies. (English) Zbl 0970.74024
From the summary: A theoretical model for three-dimensional magnetizable elastic bodies, which is suitable for the description of magnetoelastic interaction of ferromagnetic plates, is presented by the variational principle for the total energy functional of a coupled system of three-dimensional ferromagnetic bodies. It is found that in the case of linear isotropic magnetic materials, the magnetic forces obtained by this model include not only the body magnetic force which is the same as that from the magnetic dipole model, but also a distribution of the magnetic traction on the surface of the magnetizable body. The value of traction is equal to the jump of Faraday electromagnetic stress on the surface, which does not appear in earlier models such as magnetic dipole model and axiomatic model.
MSC:
| 74F15 | Electromagnetic effects in solid mechanics |
| 49S05 | Variational principles of physics |
| 82D40 | Statistical mechanics of magnetic materials |
Keywords:
three-dimensional magnetizable elastic bodies; magnetoelastic interaction of ferromagnetic plates; variational principle; total energy functional; linear isotropic magnetic materials; magnetic forces; magnetic traction; jump of Faraday electromagnetic stressReferences:
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