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Conference Paper: A novel class of model constitutive laws in nonlinear elasticity: Construction via Loewner theory
Title | A novel class of model constitutive laws in nonlinear elasticity: Construction via Loewner theory |
---|---|
Authors | |
Keywords | Elasticity Loewner Theory Nonlinearity |
Issue Date | 2007 |
Publisher | Springer 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? |
Abstract | Using 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 Identifier | http://hdl.handle.net/10722/158975 |
ISSN | 2023 Impact Factor: 1.0 2023 SCImago Journal Rankings: 0.325 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Rogers, C | en_US |
dc.contributor.author | Schief, WK | en_US |
dc.contributor.author | Chow, KW | en_US |
dc.date.accessioned | 2012-08-08T09:04:53Z | - |
dc.date.available | 2012-08-08T09:04:53Z | - |
dc.date.issued | 2007 | en_US |
dc.identifier.citation | Theoretical And Mathematical Physics, 2007, v. 152 n. 1, p. 1030-1042 | en_US |
dc.identifier.issn | 0040-5779 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/158975 | - |
dc.description.abstract | Using 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.language | eng | en_US |
dc.publisher | Springer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0040-5779 | en_US |
dc.relation.ispartof | Theoretical and Mathematical Physics | en_US |
dc.subject | Elasticity | en_US |
dc.subject | Loewner Theory | en_US |
dc.subject | Nonlinearity | en_US |
dc.title | A novel class of model constitutive laws in nonlinear elasticity: Construction via Loewner theory | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Chow, KW:kwchow@hku.hk | en_US |
dc.identifier.authority | Chow, KW=rp00112 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1007/s11232-007-0087-z | en_US |
dc.identifier.scopus | eid_2-s2.0-34548418617 | en_US |
dc.identifier.hkuros | 143431 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-34548418617&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 152 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.spage | 1030 | en_US |
dc.identifier.epage | 1042 | en_US |
dc.identifier.isi | WOS:000249207000015 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Rogers, C=7402363921 | en_US |
dc.identifier.scopusauthorid | Schief, WK=7006682640 | en_US |
dc.identifier.scopusauthorid | Chow, KW=13605209900 | en_US |
dc.identifier.issnl | 0040-5779 | - |