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RESEARCH PRODUCT

On the behavior of a three-dimensional fractional viscoelastic constitutive model

Alan C.f. CocksOlga BarreraMario Di PaolaGioacchino Alotta

subject

Scale (ratio)Mechanical EngineeringConstitutive equationMathematical analysisIsotropy02 engineering and technologyFunction (mathematics)021001 nanoscience & nanotechnologyCondensed Matter PhysicsPoisson distributionViscoelasticityPoisson's ratioCondensed Matter::Soft Condensed Mattersymbols.namesake020303 mechanical engineering & transports0203 mechanical engineeringMechanics of MaterialsConsistency (statistics)symbolsFractional viscoelasticity 3D constitutive models Creep Relaxation Viscoelastic Poisson ratio0210 nano-technologyMathematics

description

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.

yearjournalcountryeditionlanguage
2016-10-18Meccanica
https://doi.org/10.1007/s11012-016-0550-8