On the two-dimensional deformation of a semi-infinite porous elastic medium

On the basis of Biot's theory the two-dimensional problem of deformation of a semi-infinite porous elastic medium, the bounding surface of which is subjected to an arbitrary pressure is considered by the use of stress function and Laplace-Fourier integral transforms. Solutions are obtained for the case that the upper boundary is either permeable or impermeable. As an example, the distribution of stresses and the consolidation settlement have been obtained when a uniform load is applied on one half of the surface, the remaining half being unloaded. The consolidation settlement is evaluated numerically for the permeable case only and is exhibited graphically. The solution of the problem of constant strip load considered by earlier workers has also been deduced.