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...

Full description

Bibliographic Details
Main Authors: Matthias C. Krantz, Martina Gerken
Format: Article
Language:English
Published: AIP Publishing LLC 2013-05-01
Series:AIP Advances
Online Access:http://link.aip.org/link/doi/10.1063/1.4808204
_version_ 1819032029360029696
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.
first_indexed 2024-12-21T06:55:27Z
format Article
id doaj.art-12dcdb4a42cb4121ba8eb699230decaa
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
record_format Article
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