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On the behavior of a three-dimensional fractional viscoelastic constitutive model
- Source :
- Meccanica. 52:2127-2142
- Publication Year :
- 2016
- Publisher :
- Springer Science and Business Media LLC, 2016.
-
Abstract
- In this paper a three-dimensional isotropic fractional viscoelastic model is examined. It is shown that if different time scales for the volumetric and deviatoric components are assumed, the Poisson ratio is time varying function; in particular viscoelastic Poisson ratio may be obtained both increasing and decreasing with time. Moreover, it is shown that, from a theoretical point of view, one-dimensional fractional constitutive laws for normal stress and strain components are not correct to fit uniaxial experimental test, unless the time scale of deviatoric and volumetric are equal. Finally, the model is proved to satisfy correspondence principles also for the viscoelastic Poisson’s ratio and some issues about thermodynamic consistency of the model are addressed.
- Subjects :
- Scale (ratio)
Mechanical Engineering
Constitutive equation
Mathematical analysis
Isotropy
02 engineering and technology
Function (mathematics)
021001 nanoscience & nanotechnology
Condensed Matter Physics
Poisson distribution
Viscoelasticity
Poisson's ratio
Condensed Matter::Soft Condensed Matter
symbols.namesake
020303 mechanical engineering & transports
0203 mechanical engineering
Mechanics of Materials
Consistency (statistics)
symbols
Fractional viscoelasticity, 3D constitutive models, Creep Relaxation, Viscoelastic Poisson ratio
0210 nano-technology
Mathematics
Subjects
Details
- ISSN :
- 15729648 and 00256455
- Volume :
- 52
- Database :
- OpenAIRE
- Journal :
- Meccanica
- Accession number :
- edsair.doi.dedup.....da2b36ba683423a7b6437274c8871a63