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Three-dimensional analysis of an all-round clamped plate made of functionally graded materials

机译:功能梯度材料制成的全方位夹紧板的三维分析

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摘要

A three-dimensional study for the static response of a clamped rectangular plate made of functionally graded material is presented. The governing equation of the plate is derived by the Ritz energy method within the linear, small deformation theory of elasticity. A power-law distribution for the mechanical characteristics is adopted to model the continuous variation of properties from those of one component to those of the other. The displacements and stresses of the plate for different values of the power-law exponent and thickness-side ratios are investigated. The developed three-dimensional elasticity Solution by the multiterm Ritz method appears to be important because it can be used to assess the accuracy of both the two-dimensional theories as well as that of the numerical methods.
机译:对功能梯度材料制成的夹紧矩形板的静态响应进行了三维研究。在弹性的线性,小变形理论中,通过Ritz能量方法导出了板的控制方程。采用机械特性的幂律分布来模拟从一个组件到另一个组件的特性连续变化。研究了不同幂律指数和厚度比的平板的位移和应力。通过多项Ritz方法开发的三维弹性解似乎很重要,因为它可以用来评估二维理论和数值方法的准确性。

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