Abstract
The problem of the stress state of a rectangular elastic domain is investigated and solved exactly. With the help of Fourier transformation the one-dimensional vector boundry problem in the transformation`s domain is obtained. The components of the unknows vector are the displacement transformations. The problem is solved exactly with the methods of the matrix differential calculations, the fundamental solution matrix is constructed in the form of the contour integral, which is found using the residue theorem. The constructed vector is inversed by the corresponding formulas of inverse Fourier series. The numerical investigation of the stress in dependence of the external loading value and domain`s size is presented.
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