Spatial problem for elastic layer
Journal Title: Дослідження в математиці і механіці - Year 2016, Vol 21, Issue 1
Abstract
A new approach to spatial problems’ solving has been used to construct the exact solutionfor the elastic layer with its lower surface being in either rigid or slipping restraint conditions and its upper one being subjected to a compression load. The approach lies in converting the problem into the system of two simultaneously and one separately solved equations. The integral Fourier transform is applied to the system, leading to a one-dimensional vector boundary problem. The solution to the obtained problem has been constructed explicitly using the matrix differential calculus. The normal stresses and displacements have been calculated on the surfaces and the possibility of stretching stresses on the lower surface in case of slipping restraint has been examined.
Authors and Affiliations
D. S. Pliusnov
Keywords
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