Thermal buckling problem of cylindrical shells made from functionally graded materials (FGM) is investigated under the framework of Donnell shell theory. The elastoplastic properties of FGM are described by Tamura–Tomota–Ozawa model, with a power law hardening model of metallic constituents, and the material-graded characteristic through the thickness is taken into account. \(J_{2}\) flow theory helps to formulate the power law hardening constitutive relation of FGM, and Mises yield criterion is used to determine the position of elastoplastic material interface. The buckling critical temperature is obtained by employing a semi-analytical method programmed to converge both the prebuckling and the buckling internal forces iteratively. Three thermal cases, i.e., uniform, linear or nonlinear distribution of temperature rises through the thickness, are considered. Results reveal the different behaviors of elastoplastic buckling from those of elastic buckling and highlight the significance of considering the temperature-dependent material properties in the elastoplastic thermal buckling analysis of FGM cylindrical shells.

中文翻译：

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具有温度依赖性弹塑性特性的功能梯度圆柱壳的热屈曲

在Donnell壳理论的框架下研究了功能梯度材料（FGM）制成的圆柱壳的热屈曲问题。用Tamura–Tomota–Ozawa模型描述了FGM的弹塑性特性，并通过幂律硬化模型对金属成分进行了描述，并考虑了通过厚度的材料梯度特性。\（J_ {2} \）流动理论有助于公式化FGM的幂律硬化本构关系，Mises屈服准则用于确定弹塑性材料界面的位置。屈曲临界温度是通过采用半分析方法获得的，该方法被编程为迭代地收敛预屈曲和屈曲内力。考虑了三种热情况，即，温度沿厚度的均匀，线性或非线性分布。结果揭示了弹塑性屈曲与弹性屈曲的不同行为，并突出了在FGM圆柱壳弹塑性热屈曲分析中考虑温度相关材料特性的重要性。