This work adapts the Q4γ quadrilateral element to analyse three-layer FGM sandwich plates. Two types of FGM sandwich configurations are employed to assess the element performance in conducting static, free vibration, and thermal buckling analysis. The first configuration is a homogeneous core and FGM outer layers, while the second involves homogeneous top and bottom layers and an FGM core. Various problems have been run, and the results are compared with references to assess the accuracy of the element. Numerical results on the deflection, stresses, frequencies, and thermal buckling of symmetrical and non-symmetrical FGM sandwich plates are examined to evaluate the effectiveness of the current model. Furthermore, the influence of the power-law index and the length-to-thickness ratio on the analyses is also investigated.

中文翻译：

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三层 FGM 夹层板的 Q4γs 板有限元挠度、应力、振动和热屈曲分析

本工作采用Q4γ四边形单元来分析三层FGM夹层板。采用两种类型的 FGM 夹层配置来评估进行静态、自由振动和热屈曲分析时的单元性能。第一种配置是同质核心和 FGM 外层，而第二种配置是同质顶层和底层以及 FGM 核心。运行了各种问题，并将结果与​​参考进行比较，以评估元素的准确性。检查对称和非对称 FGM 夹层板的偏转、应力、频率和热屈曲的数值结果，以评估当前模型的有效性。此外，还研究了幂律指数和长厚比对分析的影响。