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Article: Normality structures with homogeneous kinetic rate laws

TitleNormality structures with homogeneous kinetic rate laws
Authors
Issue Date2005
PublisherA S M E International. The Journal's web site is located at http://asmedl.aip.org/AppliedMechanics
Citation
Journal Of Applied Mechanics, Transactions Asme, 2005, v. 72 n. 3, p. 322-329 How to Cite?
AbstractIn this paper, a homogeneous type of kinetic rate laws of local internal variables and its corresponding macroscopic behaviors, are explored within the framework of "normality structures" by Rice. Rice's kinetic rate laws of local internal variables, with each rate being stress dependent only via its conjugate thermodynamic force, are corner stones of the normality structure. It is revealed in this paper that nonlinear phenomenological equations and Onsager reciprocal relations emerge naturally if each rate is a homogeneous function of degree q in its conjugate force. Furthermore, the nonlinear phenomenological coefficient matrix is identical to the Hessian matrix of the flow potential function in conjugate forces only scaled by q. It is further shown that the refined version of Griffith criterion proposed by Rice, (G - 2γ)ȧ ≥ 0, can be derived from the normality structure with the homogeneous rate laws. Finally, some issues related to damage evolution laws have been discussed based on the remarkable properties. Copyright © 2005 by ASME.
Persistent Identifierhttp://hdl.handle.net/10722/150302
ISSN
2015 Impact Factor: 1.394
2015 SCImago Journal Rankings: 0.630
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorYang, Qen_US
dc.contributor.authorTham, LGen_US
dc.contributor.authorSwoboda, Gen_US
dc.date.accessioned2012-06-26T06:03:11Z-
dc.date.available2012-06-26T06:03:11Z-
dc.date.issued2005en_US
dc.identifier.citationJournal Of Applied Mechanics, Transactions Asme, 2005, v. 72 n. 3, p. 322-329en_US
dc.identifier.issn0021-8936en_US
dc.identifier.urihttp://hdl.handle.net/10722/150302-
dc.description.abstractIn this paper, a homogeneous type of kinetic rate laws of local internal variables and its corresponding macroscopic behaviors, are explored within the framework of "normality structures" by Rice. Rice's kinetic rate laws of local internal variables, with each rate being stress dependent only via its conjugate thermodynamic force, are corner stones of the normality structure. It is revealed in this paper that nonlinear phenomenological equations and Onsager reciprocal relations emerge naturally if each rate is a homogeneous function of degree q in its conjugate force. Furthermore, the nonlinear phenomenological coefficient matrix is identical to the Hessian matrix of the flow potential function in conjugate forces only scaled by q. It is further shown that the refined version of Griffith criterion proposed by Rice, (G - 2γ)ȧ ≥ 0, can be derived from the normality structure with the homogeneous rate laws. Finally, some issues related to damage evolution laws have been discussed based on the remarkable properties. Copyright © 2005 by ASME.en_US
dc.languageengen_US
dc.publisherA S M E International. The Journal's web site is located at http://asmedl.aip.org/AppliedMechanicsen_US
dc.relation.ispartofJournal of Applied Mechanics, Transactions ASMEen_US
dc.titleNormality structures with homogeneous kinetic rate lawsen_US
dc.typeArticleen_US
dc.identifier.emailTham, LG:hrectlg@hkucc.hku.hken_US
dc.identifier.authorityTham, LG=rp00176en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1115/1.1867991en_US
dc.identifier.scopuseid_2-s2.0-20444446281en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-20444446281&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume72en_US
dc.identifier.issue3en_US
dc.identifier.spage322en_US
dc.identifier.epage329en_US
dc.identifier.isiWOS:000229491000002-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridYang, Q=7404076821en_US
dc.identifier.scopusauthoridTham, LG=7006213628en_US
dc.identifier.scopusauthoridSwoboda, G=7005509118en_US

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