An investigation of modified couple stress theory in buckling analysis of micro composite laminated Euler–Bernoulli and Timoshenko beams
An investigation of modified couple stress theory in buckling analysis of micro composite laminated Euler–Bernoulli and Timoshenko beams
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DOI：
10.1016/j.ijengsci.2013.11.009
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发表时间：
2014-02
影响因子：
6.6
通讯作者：
M. M. Abadi-M.;A. Daneshmehr
中科院分区：
文献类型：
--
作者：
M. M. Abadi-M.;A. Daneshmehr
基于修正力偶应力理论发展了复合材料层合梁的屈曲分析。应用最小势能原理并考虑两种不同的梁理论，即欧拉-伯努利梁理论和铁莫申科梁理论，推导了微型复合材料层合梁的控制方程、边界和初始条件。通过使用新的曲率张量和修正的力偶应力理论，可以捕获与经典连续介质理论不同的尺寸效应。考虑简支复合材料层合梁模型。这些模型可以涵盖经典的组合梁理论和各向同性梁理论。控制方程通过利用傅里叶级数展开来求解。将本研究的结果与文献的结果进行比较，发现两者吻合得很好。给出了一些数值结果来研究材料长度尺度参数、梁厚度和梁长度对微复合材料层合梁行为的影响。此外，为了研究层合对微复合材料层合梁屈曲分析的影响，考虑了两种类型的层合，即 [0, 90, 0] 和 [90, 0, 90]。
Buckling analysis of composite laminated beams is developed based on modified couple stress theory. By applying principle of minimum potential energy and considering two different beam theories, i.e., Euler–Bernoulli and Timoshenko beam theories, governing equations, boundary and initial conditions are derive for micro composite laminated beams. By using the new curvature tensor and modified couple stress theory, the size effects are captured unlike the classical continuum theories. A model of simply supported composite laminated beams is considered. These models can cover the classical composite beam theories and isotropic beam theories. Governing equations are solved by utilizing the Fourier series expansions. Comparison between results obtained by present study and those obtained by literature reveals that they are in good agreement. Some numerical results are presented to study the effect of material length scale parameter, beam thickness and length of beam on the micro composite laminated beam behavior. In addition, to investigate the effect of lamination on the buckling analysis of micro composite laminated beams, two types of lamination, i.e., [0, 90, 0] and [90, 0, 90] are considered.