Stress Distribution in the Cross Section of Geometrically not Perfectly Round Piles for Brown-Pile Method of its Penetration

Abstract

The theory of analytic functions and formulas Kolosov-Muskhelishvili was applied to solution of this problem. The stated problem is equivalent to solution of the second basic problem of two-dimensional theory of elasticity for a round hole in the elastic plane in the case of non-uniform radial displacement of its boundary, represented as a Fourier series. The graphics and computational capabilities of Mathematica, allowing building the distribution of stresses and displacements, using only the general formulas Kolosov-Muskhelishvili potentials and the calculated coefficients in a complex form was shown.