In this paper, the buckling of a functionally graded plate is studied by using first order shear deformation theory (FSDT). The material properties of the plate are assumed to be graded continuously in the direction of thickness. The variation of the material properties follows a simple power-law distribution in terms of the volume fractions of constituents. The von Karman strains are used to construct the equilibrium equations of the plates subjected to two types of thermal loading, linear temperature rise and gradient through the thickness are considered. The governing equations are reduced to linear differential equation with boundary conditions yielding a simple solution procedure. In addition, the effects of temperature field, volume fraction distributions, and system geometric parameters are investigated. The results are compared with the results of the no shear deformation theory (classic plate theory, CPT).
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机译：本文利用一阶剪切变形理论（FSDT）研究了功能梯度板的屈曲。假定板的材料性能沿厚度方向连续分级。材料特性的变化遵循简单的幂律分布，就成分的体积分数而言。 von Karman应变用于构造承受两种热负荷的板的平衡方程，其中考虑了线性温度升高和厚度方向的梯度。控制方程被简化为具有边界条件的线性微分方程，从而产生简单的求解过程。此外，研究了温度场，体积分数分布和系统几何参数的影响。将结果与无剪切变形理论（经典板理论，CPT）的结果进行比较。
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