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Article: Normality structures with homogeneous kinetic rate laws
Title | Normality structures with homogeneous kinetic rate laws |
---|---|
Authors | |
Issue Date | 2005 |
Publisher | A 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? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/150302 |
ISSN | 2023 Impact Factor: 2.6 2023 SCImago Journal Rankings: 0.726 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yang, Q | en_US |
dc.contributor.author | Tham, LG | en_US |
dc.contributor.author | Swoboda, G | en_US |
dc.date.accessioned | 2012-06-26T06:03:11Z | - |
dc.date.available | 2012-06-26T06:03:11Z | - |
dc.date.issued | 2005 | en_US |
dc.identifier.citation | Journal Of Applied Mechanics, Transactions Asme, 2005, v. 72 n. 3, p. 322-329 | en_US |
dc.identifier.issn | 0021-8936 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/150302 | - |
dc.description.abstract | In 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.language | eng | en_US |
dc.publisher | A S M E International. The Journal's web site is located at http://asmedl.aip.org/AppliedMechanics | en_US |
dc.relation.ispartof | Journal of Applied Mechanics, Transactions ASME | en_US |
dc.title | Normality structures with homogeneous kinetic rate laws | en_US |
dc.type | Article | en_US |
dc.identifier.email | Tham, LG:hrectlg@hkucc.hku.hk | en_US |
dc.identifier.authority | Tham, LG=rp00176 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1115/1.1867991 | en_US |
dc.identifier.scopus | eid_2-s2.0-20444446281 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-20444446281&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 72 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.spage | 322 | en_US |
dc.identifier.epage | 329 | en_US |
dc.identifier.isi | WOS:000229491000002 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Yang, Q=7404076821 | en_US |
dc.identifier.scopusauthorid | Tham, LG=7006213628 | en_US |
dc.identifier.scopusauthorid | Swoboda, G=7005509118 | en_US |
dc.identifier.issnl | 0021-8936 | - |