On a nonstationary axisymmetric problem for the elastic half-space under mixed boundary conditions
DOI:
https://doi.org/10.15407/dopovidi2016.12.022Keywords:
integral transformations, mixed boundary conditionsAbstract
The problem of determining a stress-strain state of the elastic half-space under a nonstationary normal loading is considered. A mixed boundary-value problem is formulated, and its solution is constructed with the use of the Laplace and Hankel integral transformations. The exact inversion of the transformations is executed. As a result, the analy tical solution is obtained, and it determines a normal displacement at an arbitrary point of the axis of symmetry at an arbitrary moment of time.
Downloads
References
Poruchikov V.B. Methods of Dynamic Theory of Elasticity, Moscow: Nauka, 1986 (in Russian).
Kubenko V.D. Nonstationary loads at surface of an elastic half–plane, Reports of the National Academy of Sciences of Ukraine, 2011, 10: 67-72 (in Russian).
Kubenko V.D. Impact of blunted bodies against surface of liquid or elastic medium. Advanced in Mechanics (in 6 vol.), V. 5. Kiev: Litera Ltd, 2009: p. 566-677 (in Russian).
Kubenko V.D ZAMM 2015, 95, 12: 1448-1460. doi: https://doi.org/10.1002/zamm.201400202
Guz A.N., Kubenko V.D., Cherevko M.A Diffraction of Eelastic Waves, Kiev:Nauk. Dumka, 1978 (in Russian). PMCid:PMC1087311
Bateman G and Erdelyi A. Tables of Integral Transforms (in 2 vol.). V. 1:Transforms of Fourier, Laplace and Melline. McGraw-Hill book Com. Inc., NY, 1954.
Bateman G. and Erdelyi A. Tables of Integral Transforms (in 2 vol.). V. 2: Transform of Bessel. McGraw-Hill book Com. Inc., NY, 1954.
Ditkin V.A., Prudnikov A.P. Integral Transforms and Operational Calculation. Moskow: GIFML, 1961 (in Russian).
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Reports of the National Academy of Sciences of Ukraine
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
