Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14279/12641
DC FieldValueLanguage
dc.contributor.authorHadjiloizi, Demetra-
dc.contributor.authorKalamkarov, Alexander L.-
dc.contributor.authorGeorgiades, Tasos-
dc.date.accessioned2018-08-09T08:59:24Z-
dc.date.available2018-08-09T08:59:24Z-
dc.date.issued2017-07-
dc.identifier.citationZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 2017, vol. 97, no. 7, pp. 786-814en_US
dc.identifier.issn15214001-
dc.description.abstractThe equations of dynamic force and thermal balance as well as the time-varying form of Maxwell's equations are used to develop a comprehensive asymptotic homogenization model for the design and analysis of composite and reinforced magnetoelectric plates. The model generates twenty unit cell problems that can be used to determine the effective elastic, piezoelectric, piezomagnetic, electrical conductivity and other properties of the structure under consideration. Of particular interest among these effective coefficients are the so-called product properties which are manifested in the macroscopic composite plate via the strain transfer and general interactions between the different phases but may be absent from the behavior of the individual constituents of the composite. Examples of product properties are the magnetoelectric, pyroelectric and pyromagnetic coefficients. This paper applies the model developed to three general magnetoelectric structures; wafer-reinforced plates, rib-reinforced plates, and three-layered honeycomb shells. For the sake of generality, all structures considered are assumed to be made of generally orthotropic constituents. Unlike previous models it is discovered in this work that the effective coefficients of such structures are not constants, but are, instead, functions of time. As a direct consequence, the dependent field variables (stress, strain, electric and magnetic field, heat flux, current density, and all others) are also functions of time; this results in a homogenized structure which exhibits memory-like behavior. In fact, it is shown in this paper that other previously derived models can be viewed as particular special cases of the model developed here when electrical conductivity is ignored and all pertinent quantities are time-averaged by integrating them over the entire time spectrum. Collectively, the results presented here represent a significant refinement of previously established results.en_US
dc.formatpdfen_US
dc.language.isoenen_US
dc.relation.ispartofZAMM Journal of Applied Mathematics and Mechanicsen_US
dc.rights© WILEYen_US
dc.subjectAsymptotic homogenizationen_US
dc.subjectMagnetoelectric reinforced plateen_US
dc.subjectProduct propertiesen_US
dc.subjectThree-layered honeycomb shellen_US
dc.subjectWafer- and rib-reinforced plateen_US
dc.titlePlane stress analysis of magnetoelectric composite and reinforced plates: applications to wafer- and rib-reinforced plates and three-layered honeycomb shellsen_US
dc.typeArticleen_US
dc.collaborationCyprus University of Technologyen_US
dc.collaborationDalhousie Universityen_US
dc.subject.categoryMechanical Engineeringen_US
dc.journalsSubscriptionen_US
dc.countryCyprusen_US
dc.countryCanadaen_US
dc.subject.fieldEngineering and Technologyen_US
dc.publicationPeer Revieweden_US
dc.identifier.doi10.1002/zamm.201500228en_US
dc.relation.issue7en_US
dc.relation.volume97en_US
cut.common.academicyear2016-2017en_US
dc.identifier.spage786en_US
dc.identifier.epage814en_US
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.openairetypearticle-
item.cerifentitytypePublications-
item.grantfulltextnone-
item.languageiso639-1en-
item.fulltextNo Fulltext-
crisitem.journal.journalissn1521-4001-
crisitem.journal.publisherWiley-
crisitem.author.deptDepartment of Mechanical Engineering and Materials Science and Engineering-
crisitem.author.deptDepartment of Mechanical Engineering and Materials Science and Engineering-
crisitem.author.facultyFaculty of Engineering and Technology-
crisitem.author.facultyFaculty of Engineering and Technology-
crisitem.author.orcid0000-0002-8984-1011-
crisitem.author.parentorgFaculty of Engineering and Technology-
crisitem.author.parentorgFaculty of Engineering and Technology-
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