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

File Download Links for fulltext
(May Require Subscription)
Supplementary

  • Basic View
  • Metadata View
  • XML View
TitleResponse of power-law-viscoelastic and time-dependent materials to rate jumps
AuthorsNgan, AHW1
Tang, B1
Issue Date2009
PublisherMaterials Research Society. The Journal's web site is located at http://www.mrs.org/publications/jmr
CitationJournal Of Materials Research, 2009, v. 24 n. 3, p. 853-862 [How to Cite?]
DOI: http://dx.doi.org/10.1557/jmr.2009.0111
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.
ISSN0884-2914
2011 Impact Factor: 1.434
2011 SCImago Journal Rankings: 0.130
DOIhttp://dx.doi.org/10.1557/jmr.2009.0111
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorNgan, AHW
dc.contributor.authorTang, B
dc.date.accessioned2010-05-31T03:42:17Z
dc.date.available2010-05-31T03:42:17Z
dc.date.issued2009
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.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationJournal Of Materials Research, 2009, v. 24 n. 3, p. 853-862 [How to Cite?]
DOI: http://dx.doi.org/10.1557/jmr.2009.0111
dc.identifier.doihttp://dx.doi.org/10.1557/jmr.2009.0111
dc.identifier.epage862
dc.identifier.hkuros154786
dc.identifier.isiWOS:000267208100028
dc.identifier.issn0884-2914
2011 Impact Factor: 1.434
2011 SCImago Journal Rankings: 0.130
dc.identifier.issue3
dc.identifier.openurl
dc.identifier.scopuseid_2-s2.0-63149126859
dc.identifier.spage853
dc.identifier.urihttp://hdl.handle.net/10722/59065
dc.identifier.volume24
dc.languageeng
dc.publisherMaterials Research Society. The Journal's web site is located at http://www.mrs.org/publications/jmr
dc.publisher.placeUnited States
dc.relation.ispartofJournal of Materials Research
dc.relation.referencesReferences in Scopus
dc.rightsJournal of Materials Research. Copyright © Materials Research Society.
dc.titleResponse of power-law-viscoelastic and time-dependent materials to rate jumps
dc.typeConference_Paper
Author Affiliations
  1. The University of Hong Kong