Several three dimensional solutions for transversely isotropic functionally graded material plate welded with circular inclusion
The problem of a transversely isotropic functionally graded material (FGM) plate welded with a circular inclusion is considered. The analysis starts with the generalized England Spencer plate theory for transversely isotropic FGM plates, which expresses a three dimensional (3D) general solution in terms of four analytic functions. Several analytical solutions are then obtained for an infinite FGM plate welded with a circular inclusion and subjected to the loads at infinity. Three different cases are considered, i.e. a rigid circular inclusion fixed in the space, a rigid circular inclusion rotating about the x y and z axes, and an elastic circular inclusion with different material constants from the plate itself. The static responses of the plate and/or the inclusion are investigated through numerical examples.