About a new solving method of the space problem for the elastic layer
Abstract
The exact solution of the elasticity mixed problem for the space layer in the case of presence an arbitrary orientation concentrated force inside the layer was constructed, when stresses were set on the side and another one is fixed. As distinguished from traditional solving approaches to this problem based on Papkovich–Neuber and Trefftz methods which reduce Lame equations to harmonic equations with indivisible boundary conditions what makes solving technique difficult. New method was used here, based on reducing Lame equations to an independently solved one and two combined solved equations. Boundary conditions divide too. These two equations were reduced to the vector one-dimensional boundary problem by the method of integral transformations.
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Copyright (c) 2017 Г. Я. Попов, А. А. Фесенко
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