On the nonstationary deforming of an elastic layer under mixed boundary conditions

1Kubenko, VD
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2015, 7:47-54
Section: Mechanics
Language: Russian

The problem to determine the stressed state of an elastic layer under nonstationary normal loading is considered. A mixed boundary problem is formulated, and its solution is built by using the Laplace and Fourier integral transforms. The exact inverse of transforms is evaluated. As a result, the analytical solution is obtained, and it determines a stress and a displacement at an arbitrary point of the layer. The analysis of the essential features of wave processes is performed.

Keywords: elastic layer, mixed conditions, nonstationary loading
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