A material is isotropic if its mechanical and thermal properties are the same in all directions. Isotropic materials can have homogeneous or non-homogeneous microscopic structures. A large number of joints in advanced electronic devices are carried out with the application of these materials. In this paper, an expression of 3D isotopic elastic material is derived. An algorithm of fundamental equation is developed to check the continuity at interface of bonded joint. The Green’s function is used for the fundamental solution of three-dimensional isotropic elastic material. Boundary conditions are applied at the interface of the bonded joint and continuity is checked at interface. The effect of displacements , normal stress  , and shear stress  with varying distance is analyzed. Finally, provide the united solution which is suitable for all stable isotropic materials. 

Keywords: Fundamental Solution, Isotropic, Bonded Joint, Green’s Function.