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Article: Order of the singular stress fields of through-thickness cracks

TitleOrder of the singular stress fields of through-thickness cracks
Authors
Issue Date1996
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, 1996, v. 75 n. 1, p. 85-93 How to Cite?
AbstractUsing the principle of superposition, the singular stress fields of the mode I through-thickness cracks are obtained by combining the following two singular stress solutions. The first singular stress solution is in the form of r-1/2g(θ, z) in cylindrical coordinates system (r, θ, z). It can be evaluated by Hartranft's three-dimensional crack solution. Based on the loading similarity, the second singular stress solution is in the form of R-1/2vf(θ, φ) in spherical coordinates system (R, θ, φ) and ν is the Poisson's ratio. A full three-dimensional finite element analysis without imposing any assumption on the order of singularity is executed to check the assumptions. We show that the solution can not be simply separated either in cylindrical or spherical coordinates, but rather, a combination of them. The variation of stress intensity factors in the vicinity of the free surface perpendicular to the crack plane from free surface state to plane strain state is also discussed. © 1996 Kluwer Academic Publishers.
Persistent Identifierhttp://hdl.handle.net/10722/150274
ISSN
2015 Impact Factor: 1.642
2015 SCImago Journal Rankings: 1.093
References

 

DC FieldValueLanguage
dc.contributor.authorLeung, AYTen_US
dc.contributor.authorSu, RKLen_US
dc.date.accessioned2012-06-26T06:02:55Z-
dc.date.available2012-06-26T06:02:55Z-
dc.date.issued1996en_US
dc.identifier.citationInternational Journal Of Fracture, 1996, v. 75 n. 1, p. 85-93en_US
dc.identifier.issn0376-9429en_US
dc.identifier.urihttp://hdl.handle.net/10722/150274-
dc.description.abstractUsing the principle of superposition, the singular stress fields of the mode I through-thickness cracks are obtained by combining the following two singular stress solutions. The first singular stress solution is in the form of r-1/2g(θ, z) in cylindrical coordinates system (r, θ, z). It can be evaluated by Hartranft's three-dimensional crack solution. Based on the loading similarity, the second singular stress solution is in the form of R-1/2vf(θ, φ) in spherical coordinates system (R, θ, φ) and ν is the Poisson's ratio. A full three-dimensional finite element analysis without imposing any assumption on the order of singularity is executed to check the assumptions. We show that the solution can not be simply separated either in cylindrical or spherical coordinates, but rather, a combination of them. The variation of stress intensity factors in the vicinity of the free surface perpendicular to the crack plane from free surface state to plane strain state is also discussed. © 1996 Kluwer Academic Publishers.en_US
dc.languageengen_US
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0376-9429en_US
dc.relation.ispartofInternational Journal of Fractureen_US
dc.titleOrder of the singular stress fields of through-thickness cracksen_US
dc.typeArticleen_US
dc.identifier.emailSu, RKL:klsu@hkucc.hku.hken_US
dc.identifier.authoritySu, RKL=rp00072en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-14344282628en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-14344282628&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume75en_US
dc.identifier.issue1en_US
dc.identifier.spage85en_US
dc.identifier.epage93en_US
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridLeung, AYT=7403012697en_US
dc.identifier.scopusauthoridSu, RKL=7102627096en_US

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