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 2-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.