Green’s Functions for a Point Force in a Three-Phase Cylinder Composite

This paper presents an alternative efficient procedure to analyze plane elasticity problems of a circularly cylindrical layered media subject to an arbitrary point force. Based on the method of analytical continuation in conjunction with the alternating technique, the elastic fields of the three-phase media are derived. A rapidly convergent series solution which is expressed in terms of an explicit general term of the complex potential of the corresponding homogeneous problem is obtained in an elegant form. As a numerical illustration, the interfacial stresses are presented for different material combinations and for different positions of the point force.