Nonlinear Thermal Buckling Of Laminated Composite Shallow Spherical Shell

Composite materials have been widely applied as engineering structure materials since 1960s. As excellent engineering materials and function materials , advanced composite materials have many unique merits and important practical values. Composite materials are widely used as plates and shells in engineering. The lanminated composite shallow spherical shells are widely applied in engineering, which are always under complicated loads. The research on the mechanical properties of lanminated composite shallow spherical shells is paid more and more attention. Because of the difficulty of solving nonlinear mathematical problems, there is only several research on buckling of lanminated composite shallow spherical shells, especially on thermal buckling of lanminated composite shallow spherical shells. The nonlinear thermal buckling of lanminated composite shallow spherical shell is studied in this paper, some valuable references are provided for the application of lanminated composite shallow spherical shells in engineering.In chapter one, the major work that both domestic and foreign scholars have done on thermal buckling of plates and shells is reviewed. The range of research and the methods of research are analyzed. In chapter two, the governing equation of thermal buckling is established based on nonlinear geometry, the effects of transverse shear deformation are taken into accounted. Finally, the governing equation is solved by the modified interation method in four types of boundary conditions which are immovably clamped supports, movably clamped supports, movably simply supports and immovably simply supports. The relationship between load and deformation, the analytical expression of critical load and the analytical expression of critical geometrical parameter under temperature are obtained. The effect of geometric parameters, the material parameters and the variation of temperature fields on critical load is analyzed, and the result is compared. The results show that the thermal moment and the thermal membrane force have remarkable effects on the critical loads and the critical geometricalparameter.