In this paper, the nonlinear global buckling and postbuckling responses of axially compressed and tensiled sandwich toroidal shell segments with functionally graded carbon nanotube-reinforced composite (FG-CNTRC) coatings and corrugated core in the thermal environment are investigated. Three distributed types of FG-CNTRC coatings with two geometrical types of corrugated core, and three shell types including convex, concave, and cylindrical shells are considered. By adding the thermal forces to the governing equations, a homogenization model for corrugated structures is developed to simulate the thermal and mechanical behavior of the trapezoidal and round corrugated core. The potential energy expression of sandwich shells is established according to the Donnell shell theory with the nonlinearities of deflection, an algorithm to solve the governing equation is developed using the Ritz energy method, and three equilibrium equations are obtained respecting three amplitudes of deflection. The axial critical buckling loads and postbuckling curves of shells can be achieved after some calculations. The numerical examples prove the beneficial effects of corrugated core and CNTRC coatings on nonlinear global buckling responses of sandwich toroidal shell segments significantly.

在本文中，研究了具有功能梯度碳纳米管增强复合材料（FG-CNTRC）涂层和波纹芯的轴向压缩和拉伸夹层环形壳段在热环境中的非线性整体屈曲和后屈曲响应。考虑三种分布类型的 FG-CNTRC 涂层，具有两种几何类型的波纹芯和三种壳类型，包括凸壳、凹壳和圆柱壳。通过将热力添加到控制方程中，开发了波纹结构的均质化模型来模拟梯形和圆形波纹芯的热和机械行为。根据具有挠度非线性的Donnell壳理论，建立了夹层壳的势能表达式，利用Ritz能量法建立了求解控制方程的算法，得到了三个挠度幅值的三个平衡方程。经过计算可得到壳体的轴向临界屈曲载荷和屈曲后曲线。数值算例证明了波纹芯材和CNTRC涂层对夹层环形壳段的非线性整体屈曲响应具有显着的有益影响。