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Article: A small-scale magnetic-yielding model for an infinite magnetostrictive plane with a crack-like flaw

TitleA small-scale magnetic-yielding model for an infinite magnetostrictive plane with a crack-like flaw
Authors
KeywordsElliptical crack
Fracture toughness
Magnetostrictive material
Small-scale magnetic-yielding
Issue Date2004
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstr
Citation
International Journal Of Solids And Structures, 2004, v. 41 n. 22-23, p. 6129-6146 How to Cite?
AbstractThe effect of an external magnetic field on the fracture toughness of magnetostrictive materials has been investigated by determining the local stress fields around the tip of a very slender elliptical flaw embedded in an infinite magnetostrictive plane subjected to magnetic loading, based on the assumption of linear magnetization. In this paper, the above-mentioned analytical approach is extended to develop a small-scale magnetic-yielding model. The magnetic saturation zone is constructed and the distributions of magnetic field and magnetization are obtained around the tip of a slender elliptical crack. Based on the complex potential theory, the stress field is obtained in the vicinity of the tip of the slender elliptical crack by implementing the continuity conditions of displacement and resultant force at the interface between the magnetic saturation and magnetoelastic zones. The stress fields near the tip of the slender elliptical crack are obtained for two kinds of soft ferromagnetic materials each with a small induction magnetostrictive modulus. The theoretical results obtained show that the stresses in the neighborhood of a crack-tip are finite even when the elliptical crack reduces to a sharp crack, and are much smaller than the yield stress or the nominal fracture stress of the material. This suggests that, generally, the magnetic field has no obvious effects on the apparent fracture toughness of soft ferromagnetic materials, which is in agreement with the existing experimental results published in the existing literature. In addition, the theoretical analysis illustrates that no crack is magnetically impermeable, and the corresponding boundary conditions are inappropriate for fracture analysis of soft ferromagnetic materials. © 2004 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/75864
ISSN
2015 Impact Factor: 2.081
2015 SCImago Journal Rankings: 1.597
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWan, YPen_HK
dc.contributor.authorFang, DNen_HK
dc.contributor.authorSoh, AKen_HK
dc.date.accessioned2010-09-06T07:15:19Z-
dc.date.available2010-09-06T07:15:19Z-
dc.date.issued2004en_HK
dc.identifier.citationInternational Journal Of Solids And Structures, 2004, v. 41 n. 22-23, p. 6129-6146en_HK
dc.identifier.issn0020-7683en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75864-
dc.description.abstractThe effect of an external magnetic field on the fracture toughness of magnetostrictive materials has been investigated by determining the local stress fields around the tip of a very slender elliptical flaw embedded in an infinite magnetostrictive plane subjected to magnetic loading, based on the assumption of linear magnetization. In this paper, the above-mentioned analytical approach is extended to develop a small-scale magnetic-yielding model. The magnetic saturation zone is constructed and the distributions of magnetic field and magnetization are obtained around the tip of a slender elliptical crack. Based on the complex potential theory, the stress field is obtained in the vicinity of the tip of the slender elliptical crack by implementing the continuity conditions of displacement and resultant force at the interface between the magnetic saturation and magnetoelastic zones. The stress fields near the tip of the slender elliptical crack are obtained for two kinds of soft ferromagnetic materials each with a small induction magnetostrictive modulus. The theoretical results obtained show that the stresses in the neighborhood of a crack-tip are finite even when the elliptical crack reduces to a sharp crack, and are much smaller than the yield stress or the nominal fracture stress of the material. This suggests that, generally, the magnetic field has no obvious effects on the apparent fracture toughness of soft ferromagnetic materials, which is in agreement with the existing experimental results published in the existing literature. In addition, the theoretical analysis illustrates that no crack is magnetically impermeable, and the corresponding boundary conditions are inappropriate for fracture analysis of soft ferromagnetic materials. © 2004 Elsevier 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.subjectElliptical cracken_HK
dc.subjectFracture toughnessen_HK
dc.subjectMagnetostrictive materialen_HK
dc.subjectSmall-scale magnetic-yieldingen_HK
dc.titleA small-scale magnetic-yielding model for an infinite magnetostrictive plane with a crack-like flawen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0020-7683&volume=41&issue=22-23&spage=6129&epage=6146&date=2004&atitle=A+small-scale+magnetic-yielding+model+for+an+infinite+magnetostrictive+plane+with+a+crack-like+flawen_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/j.ijsolstr.2004.05.008en_HK
dc.identifier.scopuseid_2-s2.0-4544259833en_HK
dc.identifier.hkuros98346en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-4544259833&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume41en_HK
dc.identifier.issue22-23en_HK
dc.identifier.spage6129en_HK
dc.identifier.epage6146en_HK
dc.identifier.isiWOS:000224136100007-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridWan, YP=7402417351en_HK
dc.identifier.scopusauthoridFang, DN=7202133612en_HK
dc.identifier.scopusauthoridSoh, AK=7006795203en_HK

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