Fractal rheological models and fractional differential equations for viscoelastic behavior

Author:

Heymans Nicole,Bauwens J. -C.

Publisher

Springer Science and Business Media LLC

Subject

Condensed Matter Physics,General Materials Science

Reference16 articles.

1. Bagley RL, Torvik PJ (1983) A theoretical basis for the application of fractional calculus to viscoelasticity. J Rheol 27:201?210

2. Bauwens J-C (1988) Tentative de corrélation entre l'équation de Williams-Watts et la topologie viscoélastique. Deppos IX (Dèformation plastique des polymères solides, 9th annual meeting), ENSAM, Paris, 18th?19th October 1988

3. Bauwens J-C (1992a) Two nearly equivalent approaches for describing the non-linear creep behavior of glassy polymers. Colloid Polym Sci 270:537?542

4. Bauwens J-C (1992b) A deformation model of polycarbonate extended to the loss curve in the ? transition range. Plastics, Rubber and Composites Processing and Applications 18:149?153

5. Friedrich Ch (1991a) Relaxation functions of theological constitutive equations with fractional derivatives: thermodynamical constraints. In: Casas-Vázquez J, Jou D (eds) Lecture nodes in physics: vol 381, theological modelling: thermodynamical and statistical approaches. Springer-Verlag, Berlin Heidelberg, 321?330

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