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Theory of thin-walled functionally graded sandwich beams with single and double-cell sections

机译：具有单单元和双单元截面的薄壁功能梯度夹层梁理论

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In the present work, a computational model has been presented to study the flexural and torsional analyses of thin-walled functionally graded sandwich beams with single and double-cell sections. The analysis model is based on the Euler-Bernoulli beam theory and includes the effects of elastic couplings and constrained warping. The mechanical properties of beam such as Young's and shear moduli are assumed to continuously vary in the thickness direction based on the power law distribution of volume fraction of ceramic or metal. To solve the flexural and torsional problems of functionally graded material (FGM) sandwich box beams, the finite beam element considering Hermite cubic interpolation polynomials is employed with the scope to discretize the governing equations. The theory is validated against the analytical solutions and the finite element analysis results for beams with single and double-cell box sections. Three types of material distribution are considered to investigate the effects of gradient index, thickness ratio of ceramic, material ratio, and width-to-height ratio on the various rigidities of cross-section of FGM sandwich box beams. Numerical results show that the above mentioned effects play important role on the structural responses of FGM sandwich box beams. (C) 2016 Elsevier Ltd. All rights reserved.
机译：在目前的工作中，已经提出了一种计算模型来研究具有单单元和双单元截面的薄壁功能梯度夹层梁的挠曲和扭转分析。该分析模型基于欧拉-伯努利梁理论，并包括弹性耦合和约束翘曲的影响。基于陶瓷或金属的体积分数的幂律分布，假定梁的机械性能（例如杨氏模量和剪切模量）在厚度方向上连续变化。为了解决功能梯度材料（FGM）夹心箱形梁的挠曲和扭转问题，采用考虑了Hermite三次插值多项式的有限梁单元来离散化控制方程。该理论针对单箱和双单元箱形截面梁的解析解和有限元分析结果进行了验证。考虑三种类型的材料分布，以研究梯度指数，陶瓷厚度比，材料比和宽高比对FGM夹心箱形梁截面的各种刚度的影响。数值结果表明，上述效应对FGM夹芯箱梁的结构响应起重要作用。 （C）2016 Elsevier Ltd.保留所有权利。

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