| DOI | Resolve DOI: https://doi.org/10.1007/s11043-012-9176-y |
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| Author | Search for: Luk-Cyr, J.; Search for: Crochon, T.; Search for: Li, C.1; Search for: Lévesque, M. |
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| Affiliation | - National Research Council of Canada. Aerospace
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| Format | Text, Article |
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| Subject | Constitutive theory; Interconversions; Material symmetry; Prony series; Relaxation; Thermodynamics of irreversible process; Visco-elastic material; Algorithms; Creep; Viscoelasticity |
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| Abstract | Interconversion 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. |
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| Publication date | 2013 |
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| In | |
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| Language | English |
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| Peer reviewed | Yes |
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| NPARC number | 21269597 |
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| Export citation | Export as RIS |
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| Report a correction | Report a correction (opens in a new tab) |
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| Record identifier | 1a4011d5-ee3a-4ac0-ad23-ceba78a79969 |
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| Record created | 2013-12-13 |
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| Record modified | 2020-04-22 |
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