Cite this article as:

Anofrikova N. S., Kossovich L. Y., Chernenko V. P. Asymptotic methods for obtained solutions in vicinities of wave fronts in viscoelastic rod at large time. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2005, vol. 5, iss. 1, pp. 82-?.

Published online: 
12.02.2020
Language: 
Russian
Heading: 
Mechanics
UDC: 
593.3

Asymptotic methods for obtained solutions in vicinities of wave fronts in viscoelastic rod at large time

Authors: 
Anofrikova Nataliia Sergeevna, Saratov State University, Russia, Saratov, Astrakhanskaya 83 , nanofrikova@yandex.ru
Kossovich Leonid Yurevich, Saratov State University 1, Saratov State University, Russia, 410012, Saratov, Astrahanskaya st., 83 , president@sgu.ru, nano-bio@sgu.ru
Chernenko Varvara Petrovna, Saratov State University, Russia, Saratov, Astrakhanskaya 83 , kvm@kdu.edu.ua
Abstract: 

Non-stationary longitudinal waves in viscoelastic rod at large time are considered. Equations for the wave fronts are derived by means of asymptotic methods. Solutions of these equations are obtained.

Key words: 
asymptotic methods, viscoelastic rod, wave front
References

[1] Работнов Ю. Н., Элементы наследственной механики твердых тел, М., 1974
[2] Коссович Л.Ю., Сухоловская М. С., “Решение задачи о нестационарных продольных волнах в тонком вязкоупругом стержне”, Межвуз. науч. сб., Механика деформируемых сред, 14, Саратов, 2002, 93–98
[3] Rossikhin Yu. A., Shitikova M. V., “Applications of fractional calculus to dynamic problems”, Appl. Mech. Rev., 50:1 (1997), 16–18
[4] Справочник по специальным функциям с формулами, графиками и таблицами, М., 1979

Full text:
download
62