Дослідження поронапруженого стану півнескінченного порожнистого циліндру під дією осесиметричного навантаження

Abstract

The exact solution of the poroelasticity problem for a semi-infinite hollow cylinder under the axisymmetric load is derived in the paper. The original problem was reduced to a one-dimensional problem by applying the integral Fourier transform. The one-dimensional boundary value problem in the transform domain is formulated in a vector form, its solution is found using the matrix differential calculation apparatus. The derived analytical formulas allow to investigate the change of displacements, stresses and pore pressure depending on the type of porous material, the applied load, the size of outer and inner radii of the cylinder.