Exact solution of the plane problems for poroelastic rectangle and semi‐strip

Abstract

The exact solutions of the plane problems of poroelasticity for a rectangle and a semi-strip are derived in the article. The original problems are reduced to one-dimensional problems with the help of finite and semi-infinite Fourier transforms for a rectangle and a semi-strip, respectively. The one-dimensional boundary value problems are formulated in vector form, and the apparatus of matrix differential calculation is used. Analytical formulas for displacements, stress, and pore pressure are derived for the rectangle and semi-strip. The investigation of stress and pore pressure for different load types and different poroelastic materials is done for the rectangle and semi-strip.