Stresses and Displacements in a Transversely Isotropic Medium-Having a Lined Cylindrical Hole

Stresses and displacements in a semi-infinite medium weakened by a cylindrical hole (shaft) are of importance in mining and geotechnical engineering. Recently the authors have presented a solution for the stresses and displacements in a transversely isotropic medium having a cylindrical hole with or without elastic lining. The solution of this problem is fairly complex and involves finally solution of a system of integral equations. However, a simple solution can be obtained for the case of a cylindrical hole, with a smooth rigid lining, in a semi-infinite medium. It is the object of this note to present such a solution and later on compare the vertical displacement at the surface obtained from this solution with those of no lining with friction and treating the medium as isotropic. Refs