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has been cited by the following article:

• TITLE: Elastic Layer on the Elastic Half-Space: The Solution in Matrixes

  AUTHORS: Igor Petrovich Dobrovolsky

  KEYWORDS: Bidimensional Fourier’s Transformation

  JOURNAL NAME: Open Access Library Journal, Vol.8 No.2, February 24, 2021

  ABSTRACT: If to apply bidimensional Fourier’s transform to homogeneous system of equations of the theory of elasticity, then we will receive system of ordinary differential equations. The general solution of this system contains 6 arbitrary constants and allows to solve problems for the layer and the multilayer environment. It is shown that it is convenient to do statement and the solution of such tasks in the matrix form. The task for the layer on the elastic half-space is solved. Ways of inverse of Fourier’s transformation are considered.