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Analysis of functionally graded plates using higher order shear deformation theory

机译:基于高阶剪切变形理论的功能梯度板分析

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This work addresses a static analysis of functionally graded material (FGM) plates using higher order shear deformation theory. In the theory the transverse shear stresses are represented as quadratic through the thickness and hence it requires no shear correction factor. The material property gradient is assumed to vary in the thickness direction. Mori and Tanaka theory (1973) is used to represent the material property of FGM plate at any point. The thermal gradient across the plate thickness is represented accurately by utilizing the thermal properties of the constituent materials. Results have been obtained by employing a C° continuous isoparametric Lagrangian finite element with seven degrees of freedom for each node. The convergence and comparison studies are presented and effects of the different material composition and the plate geometry (side-thickness, side-side) on deflection and temperature are investigated. Effect of skew angle on deflection and axial stress of the plate is also studied. Effects of material constant n on deflection and the temperature distribution are also discussed in detail.
机译:这项工作使用高阶剪切变形理论解决了功能梯度材料(FGM)板的静态分析问题。在理论上,横向剪应力在厚度方向上表示为二次方,因此不需要剪力校正因子。假定材料特性梯度在厚度方向上变化。 Mori和Tanaka理论(1973)被用来表示FGM板在任何点的材料特性。通过利用构成材料的热特性,可以精确地表示出整个板厚度上的热梯度。通过使用每个节点具有七个自由度的C°连续等参拉格朗日有限元获得了结果。进行了收敛和比较研究,研究了不同材料成分和板几何形状(侧面厚度,侧面)对挠度和温度的影响。还研究了偏斜角对板的挠度和轴向应力的影响。还详细讨论了材料常数n对挠度和温度分布的影响。

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