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首页> 外文期刊>Applied and Computational Mechanics >Analytical solutions for the hygro-thermo-mechanical bending of FG beams using a new fifth order shear and normal deformation theory
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Analytical solutions for the hygro-thermo-mechanical bending of FG beams using a new fifth order shear and normal deformation theory

机译：使用新的第五阶剪切和正常变形理论，用于FG梁Hygro-Thermo-Machine弯曲的分析解决方案

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摘要

A new analytical solution is presented for functionally graded (FG) beams to investigate the bending behaviour under the hygro-thermo-mechanical loading using a new fifth order shear and normal deformation theory (FOSNDT). The material properties of the FG beam are varied along the thickness direction according to the power law index. In the present theory, a polynomial shape function is expanded up to fifth-order in terms of thickness coordinate to consider the effects of transverse shear and normal deformations. The present theory is free from the shear correction factor. Using the Navier’s solution technique the closed-form solution is obtained for simply supported FG beams. All the results are presented in non-dimensional form and validated it by developing the classical beam theory (CBT), first order shear deformation theory (FSDT by Mindlin) and third order shear deformation theory (TSDT by Reddy) considering the hygro-thermo-mechanical loading effects which is mostly missing in the literature. It is noticed that the presented FOSNDT is very simple and accurate to predict the bending behaviour of FG beams under linear and non-linear hygro-thermo-mechanical loadings.
机译：提出了一种新的分析解决方案，用于用新的第五阶剪切和正常变形理论（FOSNDT）来研究功能梯度（FG）光束，以研究Hygro-Thermo-Machence负载下的弯曲行为。根据电力法指数，FG梁的材料特性沿厚度方向变化。在本文中，在厚度坐标方面，多项式形状函数在厚度坐标方面扩展到第五阶，以考虑横向剪切和正常变形的效果。本理论没有剪切校正因子。使用Navier的解决方案技术，获得封闭式解决方案，用于简单地支持的FG梁。所有结果都以非尺寸形式呈现并通过开发经典光束理论（CBT），首次剪切变形理论（FSDT）和第三订单剪切变形理论（TSDT通过Reddy）进行验证，考虑到Hygro-Thermo-在文献中主要缺少的机械负载效果。注意到，所呈现的FOSNDT非常简单，准确，以预测线性和非线性Hygro-Thermo-Manights下的FG梁的弯曲行为。

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