Theory of magnetoelectric effect in multilayer nanocomposites on a substrate: Resonant bending-mode response
Resonant bending-mode magnetoelectric (ME) coefficients of magnetostrictive-piezoelectric multilayer cantilevers are calculated analytically using a model developed for arbitrary multilayers on a substrate. Without quality factor effects the ME coefficient maxima in the four-dimensional parameter sp...
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Format: | Article |
Language: | English |
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AIP Publishing LLC
2013-05-01
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Series: | AIP Advances |
Online Access: | http://link.aip.org/link/doi/10.1063/1.4808204 |
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author | Matthias C. Krantz Martina Gerken |
author_facet | Matthias C. Krantz Martina Gerken |
author_sort | Matthias C. Krantz |
collection | DOAJ |
description | Resonant bending-mode magnetoelectric (ME) coefficients of magnetostrictive-piezoelectric multilayer cantilevers are calculated analytically using a model developed for arbitrary multilayers on a substrate. Without quality factor effects the ME coefficient maxima in the four-dimensional parameter space of layer numbers, layer sequences, piezoelectric volume fractions, and substrate thicknesses are found to be essentially constant for nonzero substrate thickness. Global maxima occur for bilayers without substrates. Vanishing magnetoelectric response regions result from voltage cancellation in piezoelectric layers or absence of bending-mode excitation. They are determined by the neutral plane position in the multilayer stack. With Q-factor effects dominated by viscous air damping ME coefficients strongly increase with cantilever thickness primarily due to increasing resonance frequencies. The results yield a layer specific prediction of ME coefficients, resonance frequencies, and Q-factors in arbitrary multilayers and thus distinction of linear-coupling and Q-factor effects from exchange interaction, interface, or nonlinear ME effects. |
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institution | Directory Open Access Journal |
issn | 2158-3226 |
language | English |
last_indexed | 2024-12-21T06:55:27Z |
publishDate | 2013-05-01 |
publisher | AIP Publishing LLC |
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series | AIP Advances |
spelling | doaj.art-12dcdb4a42cb4121ba8eb699230decaa2022-12-21T19:12:21ZengAIP Publishing LLCAIP Advances2158-32262013-05-013505213105213110.1063/1.4808204Theory of magnetoelectric effect in multilayer nanocomposites on a substrate: Resonant bending-mode responseMatthias C. KrantzMartina GerkenResonant bending-mode magnetoelectric (ME) coefficients of magnetostrictive-piezoelectric multilayer cantilevers are calculated analytically using a model developed for arbitrary multilayers on a substrate. Without quality factor effects the ME coefficient maxima in the four-dimensional parameter space of layer numbers, layer sequences, piezoelectric volume fractions, and substrate thicknesses are found to be essentially constant for nonzero substrate thickness. Global maxima occur for bilayers without substrates. Vanishing magnetoelectric response regions result from voltage cancellation in piezoelectric layers or absence of bending-mode excitation. They are determined by the neutral plane position in the multilayer stack. With Q-factor effects dominated by viscous air damping ME coefficients strongly increase with cantilever thickness primarily due to increasing resonance frequencies. The results yield a layer specific prediction of ME coefficients, resonance frequencies, and Q-factors in arbitrary multilayers and thus distinction of linear-coupling and Q-factor effects from exchange interaction, interface, or nonlinear ME effects.http://link.aip.org/link/doi/10.1063/1.4808204 |
spellingShingle | Matthias C. Krantz Martina Gerken Theory of magnetoelectric effect in multilayer nanocomposites on a substrate: Resonant bending-mode response AIP Advances |
title | Theory of magnetoelectric effect in multilayer nanocomposites on a substrate: Resonant bending-mode response |
title_full | Theory of magnetoelectric effect in multilayer nanocomposites on a substrate: Resonant bending-mode response |
title_fullStr | Theory of magnetoelectric effect in multilayer nanocomposites on a substrate: Resonant bending-mode response |
title_full_unstemmed | Theory of magnetoelectric effect in multilayer nanocomposites on a substrate: Resonant bending-mode response |
title_short | Theory of magnetoelectric effect in multilayer nanocomposites on a substrate: Resonant bending-mode response |
title_sort | theory of magnetoelectric effect in multilayer nanocomposites on a substrate resonant bending mode response |
url | http://link.aip.org/link/doi/10.1063/1.4808204 |
work_keys_str_mv | AT matthiasckrantz theoryofmagnetoelectriceffectinmultilayernanocompositesonasubstrateresonantbendingmoderesponse AT martinagerken theoryofmagnetoelectriceffectinmultilayernanocompositesonasubstrateresonantbendingmoderesponse |