Properties of a half space including a twisted shaft of revolution

The properties of an elastic half space including a partly embedded twisting shaft of revolution are studied. Without knowing the exact solution of the torsion problem of a given embedded shaft, these properties can indicate some features of the displacement or stress field of the half space and can sometimes be used for checking a numerical solution. An example for checking the correct stress distribution on surfaces of twisted rigid cylindrical shaft embedded in a half space is given. This Work was Supported by the National Science Foundation of China.