Fundamental Solution of 3D Transversely Isotropic Elastic Material

A transversely isotropic elastic material is one which physical properties are symmetric about an axis normal to a plane of isotropy. 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 transversely 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 transversely 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, united solutions are provided which are suitable for all stable transversely isotropic and isotropic materials.