# On a nonstationary axisymmetric problem for the elastic half-space under mixed boundary conditions

 1Kubenko, VD1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv Dopov. Nac. akad. nauk Ukr. 2016, 12:22-28 https://doi.org/10.15407/dopovidi2016.12.022 Section: Mechanics Language: Russian Abstract:  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. Keywords: integral transformations, mixed boundary conditions
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