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首页> 外文期刊>International Journal of Solids and Structures >Relationships between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical plate theory
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Relationships between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical plate theory

机译：基于三阶板理论和经典板理论的FGM圆板轴对称弯曲与屈曲解的关系

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摘要

The third-order shear deformation plate theory (TPT) is employed to solve the axisymmetric bending and buckling problems of functionally graded circular plates. Relationships between the TPT solutions of axisymmetric bending and buckling of functionally graded circular plates and those of isotropic circular plates based on the classical plate theory (CPT) are presented, from which one can easily obtain the TPT solutions for the axisymmetric bending and buckling of functionally graded plates. It is assumed in analysis that the mechanical properties of the functionally graded plates vary continuously through the thickness of the plate and obey a power law distribution of the volume fraction of the constituents. Effects of material gradient property and shear deformation on the bending and buckling of functionally graded plates are discussed in the frameworks of the first-order plate theory (FPT) and third-order plate theories. Also, comparisons of the TPT solutions to the FPT and CPT solutions are presented, which show that the first-order shear deformation plate theory is enough to consider the effect of shear deformation on the axisymmetric bending and buckling of functionally graded circular plate, a much higher order and more complex plate theory (say TPT) is not necessary for such a kind of problem. (C) 2003 Elsevier Ltd. All rights reserved. [References: 20]
机译：采用三阶剪切变形板理论（TPT）解决功能梯度圆板的轴对称弯曲和屈曲问题。基于经典板理论（CPT），提出了功能梯度圆板的轴对称弯曲和屈曲的TPT解与各向同性圆板的TPT解之间的关系，从中可以很容易地获得功能梯度板的轴对称弯曲和屈曲的TPT解。梯度板。在分析中假定，功能梯度板的机械性能会随着板的厚度而连续变化，并服从组分体积分数的幂律分布。在一阶板理论（FPT）和三阶板理论的框架下，讨论了材料梯度特性和剪切变形对功能梯度板弯曲和屈曲的影响。此外，还对TPT解决方案与FPT和CPT解决方案进行了比较，结果表明，一阶剪切变形板理论足以考虑剪切变形对功能梯度圆板的轴对称弯曲和屈曲的影响。对于此类问题，不需要高阶和更复杂的板理论（例如TPT）。 （C）2003 Elsevier Ltd.保留所有权利。 [参考：20]

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