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Conference Paper: Response of power-law-viscoelastic and time-dependent materials to rate jumps

TitleResponse of power-law-viscoelastic and time-dependent materials to rate jumps
Authors
Issue Date2009
PublisherMaterials Research Society. The Journal's web site is located at http://www.mrs.org/publications/jmr
Citation
Journal Of Materials Research, 2009, v. 24 n. 3, p. 853-862 How to Cite?
AbstractNonlinear viscoelastic problems are in general not analytically solvable. However, it is shown here that, for any viscoelastic materials describable by a constitutive law with linear elastic and (in general) nonlinear viscous elements arranged in any network fashion, such as the Maxwell or standard linear solid arrangements, it is always possible to eliminate the viscous terms by replacing the displacement, strain, and stress fields of the problem by the jumps in rates of these fields. After the viscous terms are eliminated, the problem is reduced to a linear elastic problem defined on the same spatial domain and with the same elastic constant as in the original viscoelastic problem. Such a reduced elastic problem is analytically solvable in many practical cases, and the solution yields a relation between jumps in the load rate and the displacement rate, pertinent to the boundary conditions in the original problem. Such a relation can often be used as the basis for an experimental scheme to measure the elastic constants of materials. The material can be time-or strain-dependent, and the value of the elastic constant measured corresponds to the time instant or the strain value when the jump in load or displacement rate is implemented. © 2009 Materials Research Society.
Persistent Identifierhttp://hdl.handle.net/10722/59065
ISSN
2014 Impact Factor: 1.647
2013 SCImago Journal Rankings: 0.888
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorNgan, AHWen_HK
dc.contributor.authorTang, Ben_HK
dc.date.accessioned2010-05-31T03:42:17Z-
dc.date.available2010-05-31T03:42:17Z-
dc.date.issued2009en_HK
dc.identifier.citationJournal Of Materials Research, 2009, v. 24 n. 3, p. 853-862en_HK
dc.identifier.issn0884-2914en_HK
dc.identifier.urihttp://hdl.handle.net/10722/59065-
dc.description.abstractNonlinear viscoelastic problems are in general not analytically solvable. However, it is shown here that, for any viscoelastic materials describable by a constitutive law with linear elastic and (in general) nonlinear viscous elements arranged in any network fashion, such as the Maxwell or standard linear solid arrangements, it is always possible to eliminate the viscous terms by replacing the displacement, strain, and stress fields of the problem by the jumps in rates of these fields. After the viscous terms are eliminated, the problem is reduced to a linear elastic problem defined on the same spatial domain and with the same elastic constant as in the original viscoelastic problem. Such a reduced elastic problem is analytically solvable in many practical cases, and the solution yields a relation between jumps in the load rate and the displacement rate, pertinent to the boundary conditions in the original problem. Such a relation can often be used as the basis for an experimental scheme to measure the elastic constants of materials. The material can be time-or strain-dependent, and the value of the elastic constant measured corresponds to the time instant or the strain value when the jump in load or displacement rate is implemented. © 2009 Materials Research Society.en_HK
dc.languageengen_HK
dc.publisherMaterials Research Society. The Journal's web site is located at http://www.mrs.org/publications/jmren_HK
dc.relation.ispartofJournal of Materials Researchen_HK
dc.rightsJournal of Materials Research. Copyright © Materials Research Society.en_HK
dc.titleResponse of power-law-viscoelastic and time-dependent materials to rate jumpsen_HK
dc.typeConference_Paperen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0884-2914&volume=24&issue=3&spage=853&epage=862&date=2009&atitle=Response+of+power-law-viscoelastic+and+time-dependent+materials+to+rate+jumpsen_HK
dc.identifier.emailNgan, AHW: hwngan@hkucc.hku.hken_HK
dc.identifier.emailTang, B: tangbin@hkucc.hku.hken_HK
dc.identifier.authorityNgan, AHW=rp00225en_HK
dc.identifier.authorityTang, B=rp00081en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1557/jmr.2009.0111en_HK
dc.identifier.scopuseid_2-s2.0-63149126859en_HK
dc.identifier.hkuros154786en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-63149126859&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume24en_HK
dc.identifier.issue3en_HK
dc.identifier.spage853en_HK
dc.identifier.epage862en_HK
dc.identifier.eissn2044-5326-
dc.identifier.isiWOS:000267208100028-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridNgan, AHW=7006827202en_HK
dc.identifier.scopusauthoridTang, B=24554184100en_HK

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