THE EXACT SOLITION OF ELASTICITY MIXED PLAIN BOUNDARY VALUE PROBLEM IN A RECTANGULAR DOMAIN

Abstract eng:
The plane mixed boundary value problem of elasticity on a rectangular domain is solved exactly. With the help of Fourier transformation the one-dimensional vector boundary problem in the transformation’s domain is obtained. The components of the unknown vector are the displacement transformations. The problem is solved exactly with the methods of the matrix differential calculations. The constructed vector is inversed by the corresponding formulas of inverse Fourier transformation, so the displacement expressions are found in the form of 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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