Deformation of an Impervious Poroelastic Half-Space under Normal Circular Loading
摘要
The deformation of a homogeneous poroelastic half-space under normal circular loading has been studied using Biot’s theory and McNamee–Gibson displacement function approach assuming the compressibility of constituent’s fluid as well as solid. Surface of the half-space is assumed to be impervious. Laplace–Hankel transform techniques have been utilized to obtain the explicit expressions of displacements, stresses and pore-pressure. Analytical solutions of displacements, stresses and pore-pressure for drained as well as undrained case have been obtained by applying appropriate techniques. It has been examined how different poroelastic constants affect the distribution of displacement for both drained and undrained case. Poisson’s ratio is found to have a diminishing effect on the distribution of displacements, while the Biot Willis coefficient has an increasing effect.