Generalization of Elliott's Solution to Transversely Isotropic Elasticity Problems in Cartesian Coordinates

抄録

A generalized Elliott solution to transversely isotropic elasticity problems is proposed in Cartesian coordinates. The solution consists of five potential functions and includes some new solutions corresponding to equal roots of a quadratic equation composed of four elastic constants. The solution is reduced to Elliott's solution when three potential functions in the solution are omitted. When elastic constants of transversely isotropic soilds are replaced with those of isotropic solids, the solution is exactly coincident with the modified form of the generalized Boussinesq solution to isotropic solids.