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Title of article :
Fractional relaxation processes and fractional rheological models for the description of a class of viscoelastic materials
Author/Authors :
Ralf Metzler، نويسنده , , Theo F. Nonnenmacher، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Pages :
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Abstract :
Following the modelling of Zener, we establish a connection between the fractional Fokker-Planck equation and the anomalous relaxation dynamics of a class of viscoelastic materials which exhibit scale-free memory. On the basis of fractional relaxation, generalisations of the classical rheological model analogues are introduced, and applications to stress–strain relaxation in filled and unfilled polymeric materials are discussed. A possible generalisation of Reinerʹs Deborah number is proposed for systems which exhibit a diverging characteristic relaxation time.
Keywords :
A. Stress relaxation , B. Constitutive behaviour , Fractional relaxation processes
Journal title :
International Journal of Plasticity
Link To Document :