The strain state of an elastic half-space under a non-stationary normal load acting on its boundary is determined. A mixed boundary-value problem is stated. Its the solution is found using Laplace and Hankel integral transforms. The exact inversion of transforms is performed. As a result, an analytical solution that determines the normal displacement at any point in the half-space at any time is obtained. Specific numerical calculations are given for displacement on the axis of symmetry of the problem when loads are homogeneous and inhomogeneous.
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Translated from Prikladnaya Mekhanika, Vol. 57, No. 2, pp. 32–44, March–April 2021.
* This study was sponsored by the budget program “Support for Priority Areas of Scientific Research” (KPKVK 6541230).
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Kubenko, V.D. Nonstationary Displacements in an Axisymmetric Problem for an Elastic Half-Space Under Mixed Boundary Conditions*. Int Appl Mech 57, 148–159 (2021). https://doi.org/10.1007/s10778-021-01069-3
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DOI: https://doi.org/10.1007/s10778-021-01069-3