Solutions of Non-stationary Dynamic Problems of Linear Viscoelasticity
- Authors: Korovaytseva E.A.1, Pshenichnov S.G.1
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Affiliations:
- Research Institute of Mechanics
- Issue: Vol 40, No 3 (2019)
- Pages: 328-334
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204129
- DOI: https://doi.org/10.1134/S1995080219030120
- ID: 204129
Cite item
Abstract
The problems of non-stationary waves propagation in linear viscoelastic bodies are considered. The issues related to the construction of the solutions of such problems by method of integral Laplace transform in time are discussed. The statements about the properties of the solution in the space of Laplace transforms, which simplify the process of finding the originals, are formulated. As an example, the solution of the problem of propagation of one-dimensional shear waves in a viscoelastic cylinder is obtained.
About the authors
E. A. Korovaytseva
Research Institute of Mechanics
Author for correspondence.
Email: katrell@mail.ru
Russian Federation, Michurinskii pr. 1, Moscow, 119192
S. G. Pshenichnov
Research Institute of Mechanics
Email: katrell@mail.ru
Russian Federation, Michurinskii pr. 1, Moscow, 119192