Axisymmetric contact consolidation problem for continuously non-homogeneous in depth half-space

The statement of the axisymmetric consolidation problem for a porous, non-homogeneous in-depth half-space, and the construction of the fundamental solution to defining the displacement fields, strains, stresses, and pore pressure under the given boundary conditions are considered. The solution to the equations describing the porous medium stress under the shear force, and under the normal and radial loads is considered absolutely and irrespectively. Hankel integral transform which allows converting the problem to the solution of the ordinary differential second-order system is used. Expressions for stresses, displacements, pore pressure, and strains in the form of integral expressions are obtained through the simulating function method. The resulting solutions allow considering the problem with various types of the mixed boundary conditions: only on elasticity, only on filtration, or with the change of the type of both conditions.