File Download
 
Links for fulltext
(May Require Subscription)
 
Supplementary

Conference Paper: Response of power-law-viscoelastic and time-dependent materials to rate jumps
  • 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
2013 Impact Factor: 1.815
2013 SCImago Journal Rankings: 0.888
 
DOIhttp://dx.doi.org/10.1557/jmr.2009.0111
 
ISI Accession Number IDWOS:000267208100028
 
ReferencesReferences in Scopus
 
DC FieldValue
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.eissn2044-5326
 
dc.identifier.epage862
 
dc.identifier.hkuros154786
 
dc.identifier.isiWOS:000267208100028
 
dc.identifier.issn0884-2914
2013 Impact Factor: 1.815
2013 SCImago Journal Rankings: 0.888
 
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
 
<?xml encoding="utf-8" version="1.0"?>
<item><contributor.author>Ngan, AHW</contributor.author>
<contributor.author>Tang, B</contributor.author>
<date.accessioned>2010-05-31T03:42:17Z</date.accessioned>
<date.available>2010-05-31T03:42:17Z</date.available>
<date.issued>2009</date.issued>
<identifier.citation>Journal Of Materials Research, 2009, v. 24 n. 3, p. 853-862</identifier.citation>
<identifier.issn>0884-2914</identifier.issn>
<identifier.uri>http://hdl.handle.net/10722/59065</identifier.uri>
<description.abstract>Nonlinear 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. &#169; 2009 Materials Research Society.</description.abstract>
<language>eng</language>
<publisher>Materials Research Society. The Journal&apos;s web site is located at http://www.mrs.org/publications/jmr</publisher>
<relation.ispartof>Journal of Materials Research</relation.ispartof>
<rights>Journal of Materials Research. Copyright &#169; Materials Research Society.</rights>
<title>Response of power-law-viscoelastic and time-dependent materials to rate jumps</title>
<type>Conference_Paper</type>
<identifier.openurl>http://library.hku.hk:4550/resserv?sid=HKU:IR&amp;issn=0884-2914&amp;volume=24&amp;issue=3&amp;spage=853&amp;epage=862&amp;date=2009&amp;atitle=Response+of+power-law-viscoelastic+and+time-dependent+materials+to+rate+jumps</identifier.openurl>
<description.nature>Link_to_subscribed_fulltext</description.nature>
<identifier.doi>10.1557/jmr.2009.0111</identifier.doi>
<identifier.scopus>eid_2-s2.0-63149126859</identifier.scopus>
<identifier.hkuros>154786</identifier.hkuros>
<relation.references>http://www.scopus.com/mlt/select.url?eid=2-s2.0-63149126859&amp;selection=ref&amp;src=s&amp;origin=recordpage</relation.references>
<identifier.volume>24</identifier.volume>
<identifier.issue>3</identifier.issue>
<identifier.spage>853</identifier.spage>
<identifier.epage>862</identifier.epage>
<identifier.eissn>2044-5326</identifier.eissn>
<identifier.isi>WOS:000267208100028</identifier.isi>
<publisher.place>United States</publisher.place>
</item>
Author Affiliations
  1. The University of Hong Kong