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

Authors

  • V.D. Kubenko

DOI:

https://doi.org/10.15407/dopovidi2015.07.047

Keywords:

elastic layer, mixed conditions, nonstationary loading

Abstract

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.

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References

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Published

05.02.2025

How to Cite

Kubenko, V. (2025). On the nonstationary deforming of an elastic layer under mixed boundary conditions . Reports of the National Academy of Sciences of Ukraine, (7), 47–54. https://doi.org/10.15407/dopovidi2015.07.047