Mathematical justification of the apparition of the electromagnetic coupling

Abstract By using the asymptotic analysis method as regards two-scale convergence we derive the effective behavior of a fine mixing of piezoelectric material and piezomagnetic material. It can be shown that an electromagnetic coupling arises only when each phase is connected and the interface is ele...

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Main Authors: Somsak Orankitjaroen, Christian Licht, Thibaut Weller
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-019-2126-0
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spelling doaj-19c84da73a3c4d3cac52be70738c21162020-11-25T02:36:34ZengSpringerOpenAdvances in Difference Equations1687-18472019-05-01201911710.1186/s13662-019-2126-0Mathematical justification of the apparition of the electromagnetic couplingSomsak Orankitjaroen0Christian Licht1Thibaut Weller2Department of Mathematics, Faculty of Science, Mahidol UniversityDepartment of Mathematics, Faculty of Science, Mahidol UniversityLMGC-UMR 5508, Université de Montpellier-CC048Abstract By using the asymptotic analysis method as regards two-scale convergence we derive the effective behavior of a fine mixing of piezoelectric material and piezomagnetic material. It can be shown that an electromagnetic coupling arises only when each phase is connected and the interface is electrically and magnetically impermeable.http://link.springer.com/article/10.1186/s13662-019-2126-0HomogenizationTwo-scale convergencePiezoelectricityPiezomagnetism
collection DOAJ
language English
format Article
sources DOAJ
author Somsak Orankitjaroen
Christian Licht
Thibaut Weller
spellingShingle Somsak Orankitjaroen
Christian Licht
Thibaut Weller
Mathematical justification of the apparition of the electromagnetic coupling
Advances in Difference Equations
Homogenization
Two-scale convergence
Piezoelectricity
Piezomagnetism
author_facet Somsak Orankitjaroen
Christian Licht
Thibaut Weller
author_sort Somsak Orankitjaroen
title Mathematical justification of the apparition of the electromagnetic coupling
title_short Mathematical justification of the apparition of the electromagnetic coupling
title_full Mathematical justification of the apparition of the electromagnetic coupling
title_fullStr Mathematical justification of the apparition of the electromagnetic coupling
title_full_unstemmed Mathematical justification of the apparition of the electromagnetic coupling
title_sort mathematical justification of the apparition of the electromagnetic coupling
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2019-05-01
description Abstract By using the asymptotic analysis method as regards two-scale convergence we derive the effective behavior of a fine mixing of piezoelectric material and piezomagnetic material. It can be shown that an electromagnetic coupling arises only when each phase is connected and the interface is electrically and magnetically impermeable.
topic Homogenization
Two-scale convergence
Piezoelectricity
Piezomagnetism
url http://link.springer.com/article/10.1186/s13662-019-2126-0
work_keys_str_mv AT somsakorankitjaroen mathematicaljustificationoftheapparitionoftheelectromagneticcoupling
AT christianlicht mathematicaljustificationoftheapparitionoftheelectromagneticcoupling
AT thibautweller mathematicaljustificationoftheapparitionoftheelectromagneticcoupling
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