抄録
In this paper, we derive a general solution for an isotropic elastic medium (matrix) with nonconcentric multilayered circular inclusions. Inner inclusion is perfectly bonded to the outer inclusion. Matrix is infinite extent under anti-plane deformation. These inclusions have different elastic moduli, radii and central points. The matrix is subjected to arbitrary loading, for examples, by uniform anti-plane shear stresses at infinity, as well as a concentrated force , screw dislocation , uniform distributed line load at an arbitrary point. The solution is obtained through iterations of the Möbius transformation as a series with an explicit general term involving the complex potential of the corresponding homogeneous problems. The procedure is referred to as heterogenization. Using these solutions, several numerical examples are presented graphically.
