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- W2068551805 abstract "Abstract The present work uses the nonlinear, rotationally invariant equations of the magnetoelasticity of anisotropic magnetostrictive materials to provide the basic elements of nonlinear bulk wave propagation in these materials. In particular, near- and far-field solutions (the latter being uniformly valid on long spatial intervals) from a harmonic source within the framework of the monomode hypothesis are given using either a straightforward expansion of the magnetoacoustic solution in small parameters or a more refined multiple-scale technique. A bias magnetic field is necessarily present and harmonics are generated through all nonlinear features with a special attention to magnetostrictive couplings. A closed-form expression is deduced for the far-field solution at the first order in the small parameters. In the case of an elastic resonator tuned on the first partial mode and placed in a bias magnetic field, the expansion method provides the anisochronism due to magnetostrictive couplings at the second order. Anisochronism caused by the nonlinear purely clastic behavior requires solving the hierarchy of approximate boundary-value problems to higher order. In all the work presents all the prerequisites for a forthcoming study of nonlinear surface magnetoelastic waves and a more complete study of nonlinear vibrations of magnetoelastic resonators." @default.
- W2068551805 created "2016-06-24" @default.
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- W2068551805 date "1989-01-01" @default.
- W2068551805 modified "2023-09-27" @default.
- W2068551805 title "Harmonic generation and anisochronism in magnetostrictive materials" @default.
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- W2068551805 doi "https://doi.org/10.1016/0020-7683(89)90033-4" @default.
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