Interconversion of linearly viscoelastic material functions expressed as Prony series: A closure

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DOIResolve DOI: http://doi.org/10.1007/s11043-012-9176-y
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TypeArticle
Journal titleMechanics of Time-Dependent Materials
ISSN1385-2000
Volume17
Issue1
Pages5382; # of pages: 30
SubjectConstitutive theory; Interconversions; Material symmetry; Prony series; Relaxation; Thermodynamics of irreversible process; Visco-elastic material; Algorithms; Creep; Viscoelasticity
AbstractInterconversion of viscoelastic material functions is a longstanding problem that has received attention since the 1950s. There is currently no accepted methodology for interconverting viscoelastic material functions due to the lack of stability and accuracy of the existing methods. This paper presents a new exact, analytical interconversion method for linearly viscoelastic material functions expressed as Prony series. The new algorithm relies on the equations of the thermodynamics of irreversible processes used for defining linearly viscoelastic constitutive theories. As a result, interconversion is made possible for unidimensional and tridimensional materials for arbitrary material symmetry. The algorithm has been tested over a broad range of cases and was found to deliver accurate interconversion in all cases. Based on its accuracy and stability, the authors believe that their algorithm provides a closure to the interconversion of linearly viscoelastic constitutive theories expressed with Prony series. © 2012 Springer Science+Business Media, B. V.
Publication date
LanguageEnglish
AffiliationNational Research Council Canada (NRC-CNRC); Aerospace (AERO-AERO)
Peer reviewedYes
NPARC number21269597
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Record identifier1a4011d5-ee3a-4ac0-ad23-ceba78a79969
Record created2013-12-13
Record modified2016-05-09
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