Postbuckling of FGM cylindrical shells under combined axial and radial mechanical loads in thermal environments
Postbuckling of FGM cylindrical shells under combined axial and radial mechanical loads in thermal environments
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DOI：
10.1016/j.ijsolstr.2005.02.005
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发表时间：
2005-08
影响因子：
3.6
通讯作者：
Hui‐Shen Shen;N. Noda
中科院分区：
文献类型：
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作者：
Hui‐Shen Shen;N. Noda
对有限长功能梯度圆柱壳在轴向和径向载荷联合作用下的后屈曲问题进行了分析。热传导和温度依赖的材料特性都考虑在内。所考虑的温度场被假定为在壳体表面上均匀分布，并且仅在厚度方向上变化。材料的性能被假定为是温度依赖性的，并根据一个简单的幂律分布的组分的体积分数在厚度方向上分级。该公式是基于高阶剪切变形壳理论与von Kármán-Donnell型运动非线性。壳屈曲的边界层理论，其中包括非线性预屈曲变形的影响，在后屈曲范围内的大挠度，和壳的初始几何缺陷，扩展到功能梯度圆柱壳的情况下。采用奇异摄动法确定了相关屈曲载荷和后屈曲平衡路径。数值例子关注的后屈曲响应的完美和不完美的圆柱壳的两种组成材料进行组合的轴向和径向的机械载荷和不同的热环境下。结果表明，温度场和体积分数分布对功能梯度材料壳的后屈曲行为有显著影响，但对缺陷敏感性影响较小。
A postbuckling analysis is presented for a shear deformable functionally graded cylindrical shell of finite length subjected to combined axial and radial 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 only. Material properties are assumed to be temperature-dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The formulations are based on a higher order shear deformation shell theory with von Kármán–Donnell-type of kinematic nonlinearity. A boundary layer theory of shell buckling, which includes the effects of nonlinear prebuckling deformations, large deflections in the postbuckling range, and initial geometric imperfections of the shell, is extended to the case of functionally graded cylindrical shells. A singular perturbation technique is employed to determine the interactive buckling loads and postbuckling equilibrium paths. The numerical illustrations concern the postbuckling response of perfect and imperfect cylindrical shells with two constituent materials subjected to combined axial and radial mechanical loads and under different sets of thermal environments. The results reveal that the temperature field and volume fraction distribution have a significant effect on the postbuckling behavior, but they have a small effect on the imperfection sensitivity of the functionally graded shell.