Solution of the Second Fundamental Problem for an Elastic Disc with Uneven Radial Displacement of its Borders

Abstract

To solve this problem we apply the theory of analytic functions and formulas of Kolosov-Muskhelishvili in the case of non-uniform radial displacement of the boundary of the circle, represented as a Fourier series. The graphics and computational capabilities of Mathematica was shown. It allows building the distribution of stresses and displacements, using only the general Kolosov-Muskhelishvili formulas and coefficients of potentials calculated in complex form.