| Title | Nonstationary loading at the elastic half-space surface |
| Publication Type | Journal Article |
| Year of Publication | 2014 |
| Authors | Kubenko, VD |
| Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
| DOI | 10.15407/dopovidi2014.05.058 |
| Issue | 5 |
| Section | Mechanics |
| Pagination | 58-64 |
| Date Published | 5/2014 |
| Language | Russian |
| Abstract | A nonstationary stress is applied to the surface of an elastic half-space. It is necessary to built a solution of the transient boundary problem and to determine the stress-strain state of the half-space. The solution is realized with help of the Laplace and Fourier integral transformations. The coupled inversion of the integral transforms is realized. As a result, the exact solution for a stress and a displacement along the axis of symmetry of the problem is determined. Numerical examples are given. |
| Keywords | elastic half-space, loading, surface |
1. Sneddon I. N., Berri D. S. Classical theory of elasticity. Moscow: GIFML, 1961 (in Russian).
2. Guz A. N., Kubenko V. D., Cherevko M. A. Diffraction of elastic waves. Kyiv: Nauk. dumka, 1978 (in Russian).
3. Bateman G., Erdeyi A. Tables of integral transformations. In 2 vols. Vol. 1. Fourier transforms, Laplace transforms, Mellin transforms. Moscow: Nauka, GIFML, 1969 (in Russian).
4. Cagniard L. Reflexion et Refraction des Ondes Seismiques Progressives. Paris: Gauthier-Villars, 1939.
5. Slepyan L. I. Nonstationary elastic waves. Leningrad: Sudostroenie, 1972 (in Russian).
6. Ditkin V. A., Prudnikov A. P. Integral transforms and operational calculus. Moscow: GIFML, 1961 (in Russian).
7. Kubenko V. D. Dopov. Nac. akad. nauk Ukr., 2011, No. 10: 67–71 (in Russian).
