A scale-invariance of the relaxation times hierarchy of viscoelastic substances
Matematičeskoe modelirovanie, Tome 7 (1995) no. 4, pp. 53-63
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
It is shown that the hierarchy of relaxation times of viscoelastic substances has fractal (scale-invariant) structure. This property simplifies the description of viscoelastic substances, giving us a posibility to use universal relaxation functions which can be calculated very easily. It is shown that a self-similar dynamics of the relaxation processes can be governed by the equations which contain fractional-order derivatives.