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Article: A modified Kachanov method for analysis of solids with multiple cracks

TitleA modified Kachanov method for analysis of solids with multiple cracks
Authors
KeywordsCrack interaction
Multiple cracks
Sliding cracks
Stress intensity factor
Issue Date2003
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/engfracmech
Citation
Engineering Fracture Mechanics, 2003, v. 70 n. 9, p. 1115-1129 How to Cite?
AbstractKachanov proposed an approximate method for the analysis of multiple cracks by assuming that traction in each crack can be represented as a sum of a uniform component and a non-uniform component, and the interaction among the cracks are only due to the uniform components. These assumptions simplify considerably the mathematics and allow 'closed-form' solutions to be obtained for some cases. However, it is noted that the assumptions may not be valid when the cracks are very close. Therefore, an improved method of elastic solids with closely spaced multiple cracks is proposed. Unlike the Kachanov method, traction in a crack is decomposed into a linearly varying component and a non-uniform component so that the sum of the two components to be equal to the traction along the crack length. It is further assumed that the interaction effect due to the non-uniform component can be neglected, and therefore, only the effect of the linearly varying component has to be considered. The accuracy of the present method is validated by comparing the results of two and three collinear open cracks obtained by the present method with those of the exact solutions and the original Kachanov method. Applications of the approach in solving non-collinear parallel crack and friction crack problems are also presented to demonstrate the versatility and accuracy of the method. © 2002 Elsevier Science Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/70849
ISSN
2015 Impact Factor: 2.024
2015 SCImago Journal Rankings: 1.423
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLi, YPen_HK
dc.contributor.authorTham, LGen_HK
dc.contributor.authorWang, YHen_HK
dc.contributor.authorTsui, Yen_HK
dc.date.accessioned2010-09-06T06:26:40Z-
dc.date.available2010-09-06T06:26:40Z-
dc.date.issued2003en_HK
dc.identifier.citationEngineering Fracture Mechanics, 2003, v. 70 n. 9, p. 1115-1129en_HK
dc.identifier.issn0013-7944en_HK
dc.identifier.urihttp://hdl.handle.net/10722/70849-
dc.description.abstractKachanov proposed an approximate method for the analysis of multiple cracks by assuming that traction in each crack can be represented as a sum of a uniform component and a non-uniform component, and the interaction among the cracks are only due to the uniform components. These assumptions simplify considerably the mathematics and allow 'closed-form' solutions to be obtained for some cases. However, it is noted that the assumptions may not be valid when the cracks are very close. Therefore, an improved method of elastic solids with closely spaced multiple cracks is proposed. Unlike the Kachanov method, traction in a crack is decomposed into a linearly varying component and a non-uniform component so that the sum of the two components to be equal to the traction along the crack length. It is further assumed that the interaction effect due to the non-uniform component can be neglected, and therefore, only the effect of the linearly varying component has to be considered. The accuracy of the present method is validated by comparing the results of two and three collinear open cracks obtained by the present method with those of the exact solutions and the original Kachanov method. Applications of the approach in solving non-collinear parallel crack and friction crack problems are also presented to demonstrate the versatility and accuracy of the method. © 2002 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/engfracmechen_HK
dc.relation.ispartofEngineering Fracture Mechanicsen_HK
dc.subjectCrack interactionen_HK
dc.subjectMultiple cracksen_HK
dc.subjectSliding cracksen_HK
dc.subjectStress intensity factoren_HK
dc.titleA modified Kachanov method for analysis of solids with multiple cracksen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0013-7944&volume=70&spage=1115&epage=1129&date=2003&atitle=A+modified+Kachanov+method+for+analysis+of+solids+with+multiple+cracksen_HK
dc.identifier.emailTham, LG:hrectlg@hkucc.hku.hken_HK
dc.identifier.authorityTham, LG=rp00176en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/S0013-7944(02)00096-6en_HK
dc.identifier.scopuseid_2-s2.0-0037410649en_HK
dc.identifier.hkuros76095en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0037410649&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume70en_HK
dc.identifier.issue9en_HK
dc.identifier.spage1115en_HK
dc.identifier.epage1129en_HK
dc.identifier.isiWOS:000181781500002-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridLi, YP=13404050600en_HK
dc.identifier.scopusauthoridTham, LG=7006213628en_HK
dc.identifier.scopusauthoridWang, YH=9737738500en_HK
dc.identifier.scopusauthoridTsui, Y=7006760586en_HK

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