Refined plate theory for bending analysis of a HSLA steel plate under 3D temperature field

Based on a refined plate theory, bending analysis for a high strength low alloy (HSLA) steel plate under 3D temperature field is given in this paper. The refined plate theory has a lot in common with classical plate theory in many aspects, and the involved variables can be expressed as certain function type comparing with other shear deformation theories. In this study, the method of separation of variables is used to process the 3D temperature field, and the Galerkin method in conjunction with the double Fourier serial method are applied to determine the closed-form solutions of deflection. Comparison example is performed to verify the validity of the present results. The results of this paper show that the length to thickness ratio, geometrical nonlinearity as well as the amplitude and form of temperature distribute function have great influences on the deflection and normal stress of the plate.