Laterally Loaded Cylinders in Half Space

The extended Neuber solution which has the curl of a harmonic vector added to Papkovich-Neuber solution is proposed as a useful solution to asymmetric problems referring to cylindrical coordinates. A three-dimensional analysis for a laterally loaded semi-infinite cylinder embedded in an elastic half-space is presented on the basis of that solution. The potentials of displacement for a semi-infinite cylinder and an elastic half-space are given. The components of displacement and stress are expressed in those potentials of displacement. The Fourier, Bessel, and Dini expansion are used in order to satisfy the boundary and continuity conditions. Numerical calculations are made for various values of Poisson's ratios and the shear moduli of a semi-infinite cylinder and an elastic half space. Some available data for the behavior of such a structure as single piles in a foundation, anchor bolts, and reinforcements subjected to a shearing force in a concrete with cracks are presented.