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Postbuckling of pressure-loaded FGM hybrid cylindrical shells in thermal environments

机译：热环境中压力加载的FGM混合圆柱壳的后屈曲

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摘要

A postbuckling analysis is presented for a functionally graded cylindrical shell with piezoelectric actuators subjected to lateral or hydrostatic pressure combined with electric loads in thermal environments. Heat conduction and temperature-dependent material properties are both taken into account. The temperature field considered is assumed to be a uniform distribution over the shell surface and varied in the thickness direction and the electric field considered only has non-zero-valued component E_Z. The material properties of functionally graded materials (FGMs) are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents, and the material properties of both FGM and piezoelectric layers are assumed to be temperature-dependent. The governing equations are based on a higher order shear deformation theory with a von Karman-Donnell-type of kinematic nonlinearity. A boundary layer theory of shell buckling is extended to the case of FGM hybrid laminated cylindrical shells of finite length. A singular perturbation technique is employed to determine the buckling pressure and postbuckling equilibrium paths. The numerical illustrations concern the postbuckling behavior of pressure-loaded, perfect and imperfect, FGM cylindrical shells with fully covered piezoelectric actuators under different sets of thermal and electric loading conditions. The results reveal that temperature dependency, temperature change and volume fraction distribution have a significant effect on the buckling pressure and postbuckling behavior of FGM hybrid cylindrical shells. In contrast, the control voltage only has a very small effect on the buckling pressure and postbuckling behavior of FGM hybrid cylindrical shells.
机译：提出了一种功能梯度圆柱壳的屈曲后分析，该圆柱壳的压电致动器在热环境中承受侧向或静水压力并结合电负载。导热和温度相关的材料特性都被考虑在内。假定所考虑的温度场在壳表面上是均匀分布的，并且在厚度方向上变化，并且所考虑的电场仅具有非零值分量E_Z。假定功能梯度材料（FGM）的材料特性是根据成分的体积分数按照简单的幂律分布在厚度方向上进行渐变的，并且假定FGM和压电层的材料特性均为与温度有关。控制方程基于运动非线性的von Karman-Donnell型高阶剪切变形理论。壳屈曲的边界层理论扩展到有限长度的FGM混合层压圆柱壳的情况。采用奇异摄动技术来确定屈曲压力和屈曲后的平衡路径。数值说明涉及在不同的热负荷和电负荷条件下，带有完全覆盖的压电执行器的压力加载，完美和不完美的FGM圆柱壳的屈曲后行为。结果表明，温度依赖性，温度变化和体积分数分布对FGM混合圆柱壳的屈曲压力和后屈曲行为有显着影响。相反，控制电压仅对FGM混合圆柱壳的屈曲压力和后屈曲行为有很小的影响。

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