Elasticity Solution For Axisymmetric Bending Of Functionally-Graded Circular Plate Considering The Temperature Effect

The plate theory of functionally graded materials suggested by Main and Spencer is extended to analyze the axisymmetric bending of Functionally-graded in the thickness direction of circular plate and annular plate subject to uniformly distributed loads, taking into account the temperature effects. The expansion formula for displacement of circular plate was adopted. Referencing the plate theory of cylindrical bending under transverse uniformly distributed load suggested by Ding Hao-jiang, thus deduced elasticity solution for axisymmetric bending problem of functionally-graded circular (annular) plate under the action of temperature and uniform loads and had been calculated. The material is isotropic. In examples, while keeping the assumption that the material parameters vary along the thickness direction in an exponential function, the temperature varies linearly along the thickness direction. Simply supported and clamped the two boundary conditions were discussed. The effects of boundary conditions, the degree of gradient and temperature on the static response of functionally graded circular plates were investigated through the examples. Finally, the finite element software ANSYS was used to validate the deflection of clamped boundary conditions obtained in this paper, the results of the calculation were well consistent with the theoretical results.