Journal
MECCANICA
Volume 52, Issue 9, Pages 2127-2142Publisher
SPRINGER
DOI: 10.1007/s11012-016-0550-8
Keywords
Fractional viscoelasticity; 3D constitutive models; Creep; Relaxation; Viscoelastic Poisson ratio
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Funding
- University of Palermo
- Engineering and Physical Sciences Research Council [EP/L014742/1]
- Engineering and Physical Sciences Research Council [EP/L014742/1] Funding Source: researchfish
- EPSRC [EP/L014742/1] Funding Source: UKRI
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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.
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