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Article: Eigenfunction expansion for penny-shaped and circumferential cracks

TitleEigenfunction expansion for penny-shaped and circumferential cracks
Authors
KeywordsCircumferential crack
Eigenfunction expansion
Penny-shaped crack
Issue Date1998
PublisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0376-9429
Citation
International Journal Of Fracture, 1998, v. 89 n. 3, p. 205-222 How to Cite?
AbstractCracks that are developed in pipes, pressure vessels and circular bars due to improper welding are often idealized to be circumferential, penny-shaped or flat toroidal. Based on the three-dimensional Navier's equations in cylindrical coordinates, we derive the general displacement functions for both the penny-shaped and circumferential cracks by eigenfunction expansion method. We find that only those terms of the first order displacement and stress are similar to the case of three-dimensional straight plane cracks and that the higher order terms are coupled through the equilibrium equations. The strength of coupling depends on the ratio r̄ = r/a where r is the radius normal to the crack front and 2a is the diameter of the circular crack tip. It decreases with r̄.
Persistent Identifierhttp://hdl.handle.net/10722/71427
ISSN
2015 Impact Factor: 1.642
2015 SCImago Journal Rankings: 1.093
References

 

DC FieldValueLanguage
dc.contributor.authorLeung, AYTen_HK
dc.contributor.authorSu, RKLen_HK
dc.date.accessioned2010-09-06T06:31:53Z-
dc.date.available2010-09-06T06:31:53Z-
dc.date.issued1998en_HK
dc.identifier.citationInternational Journal Of Fracture, 1998, v. 89 n. 3, p. 205-222en_HK
dc.identifier.issn0376-9429en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71427-
dc.description.abstractCracks that are developed in pipes, pressure vessels and circular bars due to improper welding are often idealized to be circumferential, penny-shaped or flat toroidal. Based on the three-dimensional Navier's equations in cylindrical coordinates, we derive the general displacement functions for both the penny-shaped and circumferential cracks by eigenfunction expansion method. We find that only those terms of the first order displacement and stress are similar to the case of three-dimensional straight plane cracks and that the higher order terms are coupled through the equilibrium equations. The strength of coupling depends on the ratio r̄ = r/a where r is the radius normal to the crack front and 2a is the diameter of the circular crack tip. It decreases with r̄.en_HK
dc.languageengen_HK
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0376-9429en_HK
dc.relation.ispartofInternational Journal of Fractureen_HK
dc.subjectCircumferential cracken_HK
dc.subjectEigenfunction expansionen_HK
dc.subjectPenny-shaped cracken_HK
dc.titleEigenfunction expansion for penny-shaped and circumferential cracksen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0376-9429&volume=89&spage=205 &epage= 222&date=1998&atitle=Eigenfunction+expansion+for+penny-shaped+and+circumferential+cracksen_HK
dc.identifier.emailSu, RKL:klsu@hkucc.hku.hken_HK
dc.identifier.authoritySu, RKL=rp00072en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-0032312821en_HK
dc.identifier.hkuros51037en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0032312821&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume89en_HK
dc.identifier.issue3en_HK
dc.identifier.spage205en_HK
dc.identifier.epage222en_HK
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridLeung, AYT=7403012564en_HK
dc.identifier.scopusauthoridSu, RKL=7102627096en_HK

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