Mathematical justification of viscoelastic beam models by asymptotic methods

The authors derive and justify two models for the bending–stretching of a viscoelastic rod by using the asymptotic expansion method.

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 370; no. 2; pp. 607 - 634
Main Authors Rodríguez-Arós, Á., Viaño, J.M.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 01.10.2010
Elsevier
Subjects
Asymptotic analysis
Beam model
Exact sciences and technology
Mathematical analysis
Mathematics
Sciences and techniques of general use
Variational equality
Viscoelasticity
Viscoelasticity
Variational equality
Asymptotic analysis
Beam model
Viscoelastic beam
Asymptotic expansion
Mathematical analysis
Asymptotic approximation
Mathematical model
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Summary:The authors derive and justify two models for the bending–stretching of a viscoelastic rod by using the asymptotic expansion method.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2010.04.067