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Article: Relationship between refined Griffith criterion and power laws for cracking

TitleRelationship between refined Griffith criterion and power laws for cracking
Authors
KeywordsCrack growth
Griffith criterion
Power laws
Thermodynamics
Issue Date2004
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/mechrescom
Citation
Mechanics Research Communications, 2004, v. 31 n. 4, p. 429-434 How to Cite?
AbstractRice [J. Mech. Phys. Solids 26 (1978) 61] proposes a refined Griffith criterion, (G-2γ)ȧ≥0 at any local crack front, where G is the Irwin's energy release rate, γ is the surface free energy and ȧ is the rate of crack advance. The refined version implies that the entropy production inequality should holds locally rather than globally from the thermodynamic point of view. Within the irreversible thermodynamic framework developed by Rice [J. Mech. Phys. Solids 19 (1971) 433; Constitutive Equations in Plasticity, 1975, p. 23], it is revealed in this paper that the entropy production inequality holds for each internal variable if its rate is a homogeneous function in its conjugate force. It is further shown that widely-used power laws for crack growth are just certain homogeneous kinetic rate laws, so it is concluded that the power laws directly lead to the refined Griffith criterion. © 2004 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/71012
ISSN
2015 Impact Factor: 1.4
2015 SCImago Journal Rankings: 0.937
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorYang, Qen_HK
dc.contributor.authorTham, LGen_HK
dc.contributor.authorSwoboda, Gen_HK
dc.date.accessioned2010-09-06T06:28:07Z-
dc.date.available2010-09-06T06:28:07Z-
dc.date.issued2004en_HK
dc.identifier.citationMechanics Research Communications, 2004, v. 31 n. 4, p. 429-434en_HK
dc.identifier.issn0093-6413en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71012-
dc.description.abstractRice [J. Mech. Phys. Solids 26 (1978) 61] proposes a refined Griffith criterion, (G-2γ)ȧ≥0 at any local crack front, where G is the Irwin's energy release rate, γ is the surface free energy and ȧ is the rate of crack advance. The refined version implies that the entropy production inequality should holds locally rather than globally from the thermodynamic point of view. Within the irreversible thermodynamic framework developed by Rice [J. Mech. Phys. Solids 19 (1971) 433; Constitutive Equations in Plasticity, 1975, p. 23], it is revealed in this paper that the entropy production inequality holds for each internal variable if its rate is a homogeneous function in its conjugate force. It is further shown that widely-used power laws for crack growth are just certain homogeneous kinetic rate laws, so it is concluded that the power laws directly lead to the refined Griffith criterion. © 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/mechrescomen_HK
dc.relation.ispartofMechanics Research Communicationsen_HK
dc.subjectCrack growthen_HK
dc.subjectGriffith criterionen_HK
dc.subjectPower lawsen_HK
dc.subjectThermodynamicsen_HK
dc.titleRelationship between refined Griffith criterion and power laws for crackingen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0093-6413&volume=31&spage=429&epage=434&date=2004&atitle=Relationship+between+refined+Griffith+criterion+and+power+laws+for+crackingen_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/j.mechrescom.2004.02.002en_HK
dc.identifier.scopuseid_2-s2.0-2342533898en_HK
dc.identifier.hkuros93030en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-2342533898&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume31en_HK
dc.identifier.issue4en_HK
dc.identifier.spage429en_HK
dc.identifier.epage434en_HK
dc.identifier.isiWOS:000221582100006-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridYang, Q=7404076821en_HK
dc.identifier.scopusauthoridTham, LG=7006213628en_HK
dc.identifier.scopusauthoridSwoboda, G=7005509118en_HK

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