Dynamic response of functionally graded plates under moving heat source

As a first endeavor, the dynamic response of functionally graded (FG) plates under a moving heat source is investigated. A three-dimensional finite element method (FEM) is employed to obtain the transient temperature distribution throughout the FG plate. The material properties are assumed to be temperature-dependent and graded in the thickness direction. The effect of three-dimensional variation of temperature on the dynamic response of FG plates is formulated based on the first shear deformation theory (FSDT). The finite element method in conjunction with Newmark’s time integration scheme is employed to discretize the resulting equations of motion. Using the presented formulation, FG plates with arbitrary boundary conditions can be analyzed. In the case of isotropic plates with simply supported boundary conditions, the exact solution is obtained. Good agreement of the presented approach with the exact solution is shown. Finally, the effect of different parameters on the dynamic response of FG plates is studied.