A scale-invariance of the relaxation times hierarchy of viscoelastic substances
Matematičeskoe modelirovanie, Tome 7 (1995) no. 4, pp. 53-63
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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.
@article{MM_1995_7_4_a4,
author = {M. M. Khasanov},
title = {A~scale-invariance of the relaxation times hierarchy of viscoelastic substances},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {53--63},
year = {1995},
volume = {7},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_1995_7_4_a4/}
}
M. M. Khasanov. A scale-invariance of the relaxation times hierarchy of viscoelastic substances. Matematičeskoe modelirovanie, Tome 7 (1995) no. 4, pp. 53-63. http://geodesic.mathdoc.fr/item/MM_1995_7_4_a4/