Propagation of one-dimensional non-stationary waves in viscoelastic half space
- Authors: Korovaytseva E.A.1, Pshenichnov S.G.1, Tarlakovskii D.V.1,2
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Affiliations:
- Research Institute of Mechanics
- Moscow Aviation Institute
- Issue: Vol 38, No 5 (2017)
- Pages: 827-832
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199850
- DOI: https://doi.org/10.1134/S1995080217050237
- ID: 199850
Cite item
Abstract
The problem of one-dimensional non-stationary wave propagation in viscoelastic half space is considered. Relaxation kernel is considered exponential. Initial conditions are set to zero, displacement is determined on the half space boundary. The solution is represented in the form of perturbation and surface Green function resultant. For determination of Green function time Laplace transform is used. Its inverse transform is carried out both analytically expanding Green function in series and numerically. A good coincidence of analytical and numerical Green function calculation results is shown. The final solution is determined analytically. Examples of calculations are represented.
About the authors
E. A. Korovaytseva
Research Institute of Mechanics
Author for correspondence.
Email: katrell@mail.ru
Russian Federation, Moscow, 119192
S. G. Pshenichnov
Research Institute of Mechanics
Email: katrell@mail.ru
Russian Federation, Moscow, 119192
D. V. Tarlakovskii
Research Institute of Mechanics; Moscow Aviation Institute
Email: katrell@mail.ru
Russian Federation, Moscow, 119192; Moscow, 125993