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First-order shear deformation plate models for functionally graded materials

机译：功能梯度材料的一阶剪切变形板模型

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摘要

In this paper, first-order shear deformation plate models for modelling structures made of functionally graded materials are proposed. Identification of transverse shear factors is investigated through these models by energy equivalence. The transverse shear stresses are derived from the expression of membrane stresses and equilibrium equations. Using the obtained transverse shear factor, a numerical analysis is performed on the examples of a simply supported square plate and of a cylindrical bending sandwich plate clamped at both ends. The material properties are assumed to be isotropic at each point and vary through the thickness according to a power law distribution. The numerical results of the static analysis are compared to available solutions from previous studies.
机译：本文提出了用于功能梯度材料制成的结构建模的一阶剪切变形板模型。通过这些模型，通过能量等效性研究了横向剪切因子的识别。横向剪应力是从膜应力表达式和平衡方程得出的。使用获得的横向剪切因子，对简单支撑的正方形板和两端夹紧的圆柱形弯曲夹心板的示例进行了数值分析。假定材料特性在每个点都是各向同性的，并且根据幂律分布在整个厚度范围内变化。将静态分析的数值结果与先前研究的可用解决方案进行比较。

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