Stresses due to vertical subsurface loading for an inhomogeneous cross‐anisotropic half‐space

Abstract

SUMMARYIn this article, we present the solutions for the stresses induced by four different loads associated with an axially loaded pile in a continuously inhomogeneous cross-anisotropic half-space. The planes of cross-anisotropy are parallel to the horizontal surface of the half-space, and the Young's and shear moduli are assumed to vary exponentially with depth. The four loading types are: an embedded point load for an end-bearing pile, uniform skin friction, linear variation of skin friction, and non-linear parabolic variation of skin friction for a friction pile. The solutions for the stresses due to the pile load are expressed in terms of the Hankel integral and are obtained from the point load solutions of the same inhomogeneous cross-anisotropic half-space which were derived recently by the authors (Int. J. Rock Mech. Min. Sci. 2003; 40(5):667-685). A numerical procedure is proposed to carry out the integral. For the special case of homogeneous isotropic and cross-anisotropic halfspace, the stresses predicted by the numerical procedure agree well with the solutions of Geddes and Wang (Geotechnique 1966; 16(3):231-255; Soils Found. 2003; 43(5):41-52). An illustrative example is also given to investigate the effect of soil inhomogeneity, the type and degree of soil anisotropy, and the four different loading types on the vertical normal stress. The presented solutions are more realistic in simulating the actual stratum of loading problem in many areas of engineering practice.

Surface displacements due to batter piles driven in cross‐anisotropic media

“…The present solutions can be developed by integrating the embedded point load solution of a cross-anisotropic half-space, which were proposed by Wang and Liao [18]. However, it should be noted that the proposed solutions are not for the pile-soil interactions problems [19]. They are semi-coupled solutions where the influences of batter piles on the soil foundation are simplified as various distributed loads.…”