Green Tensor and Solution of the Boussinesq Problem in the Generalized Theory of Elasticityстатья
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Дата последнего поиска статьи во внешних источниках: 3 октября 2019 г.
Аннотация:The fundamental spatial problems of the theory of elasticity such as the problem of constructing Green tensor and the Boussinesq problem of the action of a concentrated force on a half-space are considered. According to the classical theory of elasticity, these problems are singular. It is shown that ananalytical solution of such problems can be constructed by the Papkovich-Neuber representation without invoking symmetry conditions. This makes it possible to present the solution of the problems under consideration in a single form and allows us to write an explicit solution of half-space loaded by a concentrated vector-force having non-zero projections onto the normal to the plane bounding the half-space and onto the plane itself.This paper deals with the generalized regular solutions of the considered fundamental problems of the elasticity. The solutions are limited at a singular point and damp at infinity.