A hard ferromagnetic and elastic beam-plate sandwich structure |
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Authors: | Andrea Nobili Angelo Marcello Tarantino |
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Institution: | (1) Dep. of Mech. and Civil Engrg., Univ. of Modena and Reggio Emilia, via Vignolese 905, 41100 Modena, Italy |
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Abstract: | In this paper, the deformation of a composite hard ferromagnetic-elastic beam-plate structure is investigated. A sandwich
structure, composed of two thin hard ferromagnetic layers, with a linear elastic layer in between, is considered. The deformation
is due to the self generated magnetic field (magnetostriction). The aim is to assess the interaction forces among the perfectly
bonded layers, through a consistent application of the classical nonlinear magneto-elastic theory. Once the general mechanical
model is stated, the analysis is specialized to study longitudinal elongation, given its great relevance in technical applications.
Owing to the non-local character of the magnetic action, a nonlinear integro-differential equation is derived. Some qualitative
properties of the solution are pointed out and the asymptotic behavior near the end sections is examined in detail. A finite
differences approach allows writing an approximating nonlinear system of equations in the non asymptotic part of the solution,
which is solved through a Newton’s iterative scheme. The numerical results are discussed and it is shown how the asymptotic
part of the solution well approximates the full behavior of the structure. Furthermore, the longitudinal interaction force
density is found to be singular at the end cross-sections, regardless of the assumed bonding type. |
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Keywords: | " target="_blank"> Magneto-elastic coupling hard ferromagnet composite structure magnetostriction |
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