Abstract
AbstractThe exact solution of the axially symmetric problem concerning the non‐stationary load action on the elastic half‐space surface in the condition of mixed boundary value problem with the given normal stress and tangent displacement on the boundary is obtained. The Laplace and Hankel integral transforms are used. Integral transforms inversion is carried out by means of tabular ratios and convolutions theorems for the wide range of non‐stationary loads. The vertical displacement expression is obtained in the explicit analytical form. The load applied to the bounded dimensions domain is particularly considered. The performed calculations indicate evolution of the elastic displacement in terms of time and space coordinates.
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Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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