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Article: Fracture analysis of piezoelectric materials with defects using energy density theory

TitleFracture analysis of piezoelectric materials with defects using energy density theory
Authors
KeywordsCrack
Elliptical cavity
Energy density
Energy release rate
Fracture criterion
Piezoelectric material
Issue Date2001
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstr
Citation
International Journal Of Solids And Structures, 2001, v. 38 n. 46-47, p. 8331-8344 How to Cite?
AbstractThe objective of this paper is to extend a failure criterion, which is based on the energy density factor, for an elliptical cavity or a line crack embedded in an infinite piezoelectric solids, subjected to a combined in-plane electrical and mechanical loading. In the present analysis, the exact electric boundary conditions are applied at the rim of the cavity/ crack. This is to avoid the common assumption of impermeable or permeable crack, which does not reflect the practical situation. The direction of crack initiation or subsequent post-failure, and the critical loads for fracture, can be predicted using the total energy density factor, S. This factor is a function of the aspect ratio of the elliptical cavity, the electromechanical loading, core region outside the crack tip, permittivity of vacuum and material constants. The results obtained agree with the experimental observation, i.e. a positive electric field enhances crack growth while a negative electric field impedes crack growth. Moreover, the results indicate that the critical fracture loads are under-estimated by the assumption of impermeable crack and over-estimated when the crack is assumed to be permeable for E2 app > 0, where E2 app is the applied electric field. However, the fracture loads are over-estimated by the assumption of impermeable crack and under-estimated when the crack is assumed to be permeable for E2 app < 0. The energy density criterion has the advantage of possessing the capability to implement the exact electric boundary conditions. This is due to the fact that the criterion can link the behavior of a crack to that of an elliptical cavity by consistent application of this criterion to a thin layer near the cavity/crack boundary. © 2001 Elsevier Science Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/75739
ISSN
2015 Impact Factor: 2.081
2015 SCImago Journal Rankings: 1.597
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorSoh, AKen_HK
dc.contributor.authorFang, DNen_HK
dc.contributor.authorLun Lee, Ken_HK
dc.date.accessioned2010-09-06T07:14:05Z-
dc.date.available2010-09-06T07:14:05Z-
dc.date.issued2001en_HK
dc.identifier.citationInternational Journal Of Solids And Structures, 2001, v. 38 n. 46-47, p. 8331-8344en_HK
dc.identifier.issn0020-7683en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75739-
dc.description.abstractThe objective of this paper is to extend a failure criterion, which is based on the energy density factor, for an elliptical cavity or a line crack embedded in an infinite piezoelectric solids, subjected to a combined in-plane electrical and mechanical loading. In the present analysis, the exact electric boundary conditions are applied at the rim of the cavity/ crack. This is to avoid the common assumption of impermeable or permeable crack, which does not reflect the practical situation. The direction of crack initiation or subsequent post-failure, and the critical loads for fracture, can be predicted using the total energy density factor, S. This factor is a function of the aspect ratio of the elliptical cavity, the electromechanical loading, core region outside the crack tip, permittivity of vacuum and material constants. The results obtained agree with the experimental observation, i.e. a positive electric field enhances crack growth while a negative electric field impedes crack growth. Moreover, the results indicate that the critical fracture loads are under-estimated by the assumption of impermeable crack and over-estimated when the crack is assumed to be permeable for E2 app > 0, where E2 app is the applied electric field. However, the fracture loads are over-estimated by the assumption of impermeable crack and under-estimated when the crack is assumed to be permeable for E2 app < 0. The energy density criterion has the advantage of possessing the capability to implement the exact electric boundary conditions. This is due to the fact that the criterion can link the behavior of a crack to that of an elliptical cavity by consistent application of this criterion to a thin layer near the cavity/crack boundary. © 2001 Elsevier Science Ltd. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstren_HK
dc.relation.ispartofInternational Journal of Solids and Structuresen_HK
dc.subjectCracken_HK
dc.subjectElliptical cavityen_HK
dc.subjectEnergy densityen_HK
dc.subjectEnergy release rateen_HK
dc.subjectFracture criterionen_HK
dc.subjectPiezoelectric materialen_HK
dc.titleFracture analysis of piezoelectric materials with defects using energy density theoryen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0020-7683&volume=38 &issue=46-47&spage=8331&epage=8344&date=2001&atitle=Fracture+analysis+of+piezoelectric+materials+with+defects+using+energy+density+theoryen_HK
dc.identifier.emailSoh, AK:aksoh@hkucc.hku.hken_HK
dc.identifier.authoritySoh, AK=rp00170en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/S0020-7683(01)00080-4en_HK
dc.identifier.scopuseid_2-s2.0-0035834478en_HK
dc.identifier.hkuros67133en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0035834478&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume38en_HK
dc.identifier.issue46-47en_HK
dc.identifier.spage8331en_HK
dc.identifier.epage8344en_HK
dc.identifier.isiWOS:000172367600009-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridSoh, AK=7006795203en_HK
dc.identifier.scopusauthoridFang, DN=7202133612en_HK
dc.identifier.scopusauthoridLun Lee, K=15737087000en_HK

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