功能梯度材料薄球壳热屈曲问题

摘要

In this paper,the problem of thermal buckling of thin spherical shells of functionally graded materials composed of metal and ceramics was studied.The stability equation of axisymmetric spherical shell was derived by the tensor method.The thermal constitutive equation was applied to the stability equation of the spherical shell,and the thermal buckling equations of the spherical shell were obtained.The effects of external pressure and temperature were considered.The thermal buckling of simply supported spherical shell was studied by using Galerkin method.The change tendency of the critical pressure and the critical pressure of the thickness of the thin shell and the change of the physical parameters were analyzed.With the change of the thickness,physical property parameter,temperature difference between inside and outside surface,the change tendency of the critical temperature and the change of the critical pressure were presented.%研究了由金属和陶瓷组成的功能梯度材料薄球壳热屈曲问题.用张量方法推导得到轴对称球壳稳定性方程.将热本构方程应用到球壳稳定性方程中,得到以位移表示的球壳热屈曲方程组.分别考虑均布外压和温度作用,采用伽辽金法计算分析简支球壳的热屈曲问题,给出薄球壳厚度、物性参数变化、内外表面温差变化引起的临界温度变化趋势和临界压力变化趋势.