File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Conference Paper: A novel class of model constitutive laws in nonlinear elasticity: Construction via Loewner theory

TitleA novel class of model constitutive laws in nonlinear elasticity: Construction via Loewner theory
Authors
KeywordsElasticity
Loewner Theory
Nonlinearity
Issue Date2007
PublisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0040-5779
Citation
Theoretical And Mathematical Physics, 2007, v. 152 n. 1, p. 1030-1042 How to Cite?
AbstractUsing a solitonic connection, we show that the class of infinitesimal Bäcklund transformations originally introduced by Loewner in 1952 in a gasodynamic context results in physically interesting nonlinear model constitutive laws. We obtain laws previously used to model a variety of hard and soft nonlinear elastic responses. A natural extension of the latter leads to a novel class of model constitutive laws where the stress and strain are given parametrically in terms of elliptic functions. Such models allow a change in the concavity of the stress-strain law. Such behavior can be observed in the compression of polycrystalline materials or in the unloading regimes of superelastic nickel-titanium. © 2007 Springer Science+Business Media, Inc.
Persistent Identifierhttp://hdl.handle.net/10722/158975
ISSN
2015 Impact Factor: 0.831
2015 SCImago Journal Rankings: 0.487
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorRogers, Cen_US
dc.contributor.authorSchief, WKen_US
dc.contributor.authorChow, KWen_US
dc.date.accessioned2012-08-08T09:04:53Z-
dc.date.available2012-08-08T09:04:53Z-
dc.date.issued2007en_US
dc.identifier.citationTheoretical And Mathematical Physics, 2007, v. 152 n. 1, p. 1030-1042en_US
dc.identifier.issn0040-5779en_US
dc.identifier.urihttp://hdl.handle.net/10722/158975-
dc.description.abstractUsing a solitonic connection, we show that the class of infinitesimal Bäcklund transformations originally introduced by Loewner in 1952 in a gasodynamic context results in physically interesting nonlinear model constitutive laws. We obtain laws previously used to model a variety of hard and soft nonlinear elastic responses. A natural extension of the latter leads to a novel class of model constitutive laws where the stress and strain are given parametrically in terms of elliptic functions. Such models allow a change in the concavity of the stress-strain law. Such behavior can be observed in the compression of polycrystalline materials or in the unloading regimes of superelastic nickel-titanium. © 2007 Springer Science+Business Media, Inc.en_US
dc.languageengen_US
dc.publisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0040-5779en_US
dc.relation.ispartofTheoretical and Mathematical Physicsen_US
dc.subjectElasticityen_US
dc.subjectLoewner Theoryen_US
dc.subjectNonlinearityen_US
dc.titleA novel class of model constitutive laws in nonlinear elasticity: Construction via Loewner theoryen_US
dc.typeConference_Paperen_US
dc.identifier.emailChow, KW:kwchow@hku.hken_US
dc.identifier.authorityChow, KW=rp00112en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1007/s11232-007-0087-zen_US
dc.identifier.scopuseid_2-s2.0-34548418617en_US
dc.identifier.hkuros143431-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-34548418617&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume152en_US
dc.identifier.issue1en_US
dc.identifier.spage1030en_US
dc.identifier.epage1042en_US
dc.identifier.isiWOS:000249207000015-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridRogers, C=7402363921en_US
dc.identifier.scopusauthoridSchief, WK=7006682640en_US
dc.identifier.scopusauthoridChow, KW=13605209900en_US

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats