Metadata (abstracts and keywords) for the articles in the journal
V. E. Ragozina, Yu. E. Ivanova The various possibilities for describing of spherically symmetric shock waves in an elastic medium in terms of asymptotic series // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2017. № 3(33). p. 16-27
Author(s):
V. E. Ragozina, Yu. E. Ivanova
Index of UDK:
539.3
DOI:
Title:
The various possibilities for describing of spherically symmetric shock waves in an elastic medium in terms of asymptotic series
On the example of the problem of shock loading of a spherical cavity in a nonlinearly elastic medium, the application of the matched asymptotic expansions method to the description of the propagation of one-dimensional shock waves of nonzero curvature is considered. It is shown that the singular problem of the perturbation method in the front region is determined by the solution of the evolution equation, which differs from the equation of a plane longitudinal wave. Various versions of the equations arising in the exterior boundary value problem and their approximate solutions are considered.
The contact details of authors:
Ragozina Victoria Evgenevna
e-mail: ragozina@vlc.ru, Ph.D., Senior Research Worker, Institute of Automation and Control Processes of Far-Eastern Branch of RAS, Vladivostok, Russia.
Ivanova Yulia Evgenevna
e-mail: ivanova@iacp.dvo.ru, Ph.D., Research Worker, Institute of Automation and Control Processes of Far-Eastern Branch of RAS, Vladivostok; Docent, Far Eastern Federal University, Vladivostok, Russia.
Russian
English