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Article: Polygonal finite element method for nonlinear constitutive modeling of polycrystalline ferroelectrics

TitlePolygonal finite element method for nonlinear constitutive modeling of polycrystalline ferroelectrics
Authors
KeywordsDomain switching
Electric saturation
Ferroelectrics
Grain
Hybrid element
Polygonal finite element
Issue Date2005
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finel
Citation
Finite Elements In Analysis And Design, 2005, v. 42 n. 2, p. 107-129 How to Cite?
AbstractIn meso-mechanistic analyses, crystal grains are often idealized as polygons. Presuming that each grain possesses its own unique and uniform crystallographic structure, it is highly desirable to model a grain by only one basic computational sub-domain. To this end, polygonal finite element models are developed for constitutive modeling of polycrystalline ferroelectrics. The success of these models relies on a hybrid electromechanical variational principle with equilibrating assumed electromechanical stress (stress+electricdisplacement). To construct the element electromechanical stiffness matrix, only piecewise boundary interpolations of the electromechanical displacement (displacement+nodalelectricpotential) are required. Higher-order elements are made available by inserting side-nodes along the element edges and enriching the electromechanical stress. By incorporating an energy-based nonlinear constitutive model, characteristic features in electric saturation and domain switching are successfully reproduced in the finite element simulation. The effect of microcracking on the macroscropic response of ferroelectrics is also studied. © 2005 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/76061
ISSN
2015 Impact Factor: 2.175
2015 SCImago Journal Rankings: 1.278
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorSze, KYen_HK
dc.contributor.authorSheng, Nen_HK
dc.date.accessioned2010-09-06T07:17:15Z-
dc.date.available2010-09-06T07:17:15Z-
dc.date.issued2005en_HK
dc.identifier.citationFinite Elements In Analysis And Design, 2005, v. 42 n. 2, p. 107-129en_HK
dc.identifier.issn0168-874Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/76061-
dc.description.abstractIn meso-mechanistic analyses, crystal grains are often idealized as polygons. Presuming that each grain possesses its own unique and uniform crystallographic structure, it is highly desirable to model a grain by only one basic computational sub-domain. To this end, polygonal finite element models are developed for constitutive modeling of polycrystalline ferroelectrics. The success of these models relies on a hybrid electromechanical variational principle with equilibrating assumed electromechanical stress (stress+electricdisplacement). To construct the element electromechanical stiffness matrix, only piecewise boundary interpolations of the electromechanical displacement (displacement+nodalelectricpotential) are required. Higher-order elements are made available by inserting side-nodes along the element edges and enriching the electromechanical stress. By incorporating an energy-based nonlinear constitutive model, characteristic features in electric saturation and domain switching are successfully reproduced in the finite element simulation. The effect of microcracking on the macroscropic response of ferroelectrics is also studied. © 2005 Elsevier B.V. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finelen_HK
dc.relation.ispartofFinite Elements in Analysis and Designen_HK
dc.rightsFinite Elements in Analysis and Design. Copyright © Elsevier BV.en_HK
dc.subjectDomain switchingen_HK
dc.subjectElectric saturationen_HK
dc.subjectFerroelectricsen_HK
dc.subjectGrainen_HK
dc.subjectHybrid elementen_HK
dc.subjectPolygonal finite elementen_HK
dc.titlePolygonal finite element method for nonlinear constitutive modeling of polycrystalline ferroelectricsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0168-874X&volume=42&spage=107&epage=129&date=2005&atitle=Polygonal+finite+element+method+for+nonlinear+constitutive+modeling+of+polycrystalline+ferroelectricsen_HK
dc.identifier.emailSze, KY:szeky@graduate.hku.hken_HK
dc.identifier.authoritySze, KY=rp00171en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.finel.2005.04.004en_HK
dc.identifier.scopuseid_2-s2.0-27144497555en_HK
dc.identifier.hkuros117411en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-27144497555&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume42en_HK
dc.identifier.issue2en_HK
dc.identifier.spage107en_HK
dc.identifier.epage129en_HK
dc.identifier.isiWOS:000233157000001-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridSze, KY=7006735060en_HK
dc.identifier.scopusauthoridSheng, N=55259181300en_HK

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