- In the current paper, an attempt is made to analyze the thermal buckling behavior of functionally graded (FG) shell structures by using a modified first-order enhanced solid-shell element formulation. The material properties of functionally graded shell are presumed to vary continuously in the thickness direction according to a simple power law distribution. Temperature-independent (TID) and temperature-dependent (TD) material properties are both considered. The modified theory takes into account the shear strains through the FGM shell thickness with a parabolic shape function imposed in the compatible strain part, and it verifies the zero shear stresses condition at the top and bottom surfaces of shell. To subdue locking problems, the assumed natural strain (ANS) method and the enhanced assumed strain (EAS) method with a minimal number of internal parameters are employed. Numerical results of the present research are compared and validated with the existing studies on the thermal buckling of FGM shells. Both uniform and nonuniform temperature distributions are considered. The effect of different parameters on the thermal buckling temperature of FGM structures is highlighted by solving numerous examples.

- 在当前论文中，尝试通过使用改进的一阶增强型固体-壳单元公式来分析功能梯度 (FG) 壳结构的热屈曲行为。假设功能梯度壳的材料特性根据简单的幂律分布在厚度方向上连续变化。温度无关 (TID) 和温度相关 (TD) 材料属性都被考虑在内。修改后的理论考虑了通过 FGM 壳厚度的剪切应变，并在兼容应变部分施加了抛物线形状函数，并验证了壳顶面和底面的零剪应力条件。为了解决锁定问题，采用具有最少内部参数的假定自然应变 (ANS) 方法和增强假定应变 (EAS) 方法。本研究的数值结果与现有的 FGM 壳热屈曲研究进行了比较和验证。均匀和不均匀的温度分布都被考虑。通过求解大量示例，突出了不同参数对 FGM 结构热屈曲温度的影响。