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Bending analysis of functionally graded graphene oxide powder-reinforced composite beams using a meshfree method
Aerospace Science and Technology ( IF 5.6 ) Pub Date : 2021-01-05 , DOI: 10.1016/j.ast.2020.106479
Mustapha Fouaidi , Mohammad Jamal , Abdelkabir Zaite , Naoual Belouaggadia

In this paper, the linear bending response of straight, thin to moderately thick functionally graded (FG) composite beams reinforced with graphene oxide powder (GOP) and subjected to two types of static mechanical loads, with various boundary conditions is investigated using a meshfree collocation method based on multiquadric radial basis functions. The weight fractions of the GOP are considered to vary continuously through the thickness direction of the composite beams. To determine the effective Young's modulus of the FG-GOP reinforced composite beams, a modified Halpin–Tsai model is used, whereas the rule of mixture is adopted to estimate the equivalent Poisson's ratio. The first-order shear deformation (FSDT) beam theory is adopted to model the functionally graded graphene oxide powder (FG-GOP) reinforced composite beams. The static equilibrium equations and associated boundary conditions of the FG-GOP reinforced composite beams are obtained by using the principle of minimum potential energy. The governing equations are rewritten in a matrix-vector strong form and discretized using the multiquadric radial basis functions. Various comparisons studies are performed to demonstrate the robustness and accuracy of the proposed numerical model. Parametric studies are conducted to examine the effects of length-to-thickness ratio, GOP distribution patterns, weight fraction, and size of GOP, types of loads, and boundary conditions on the bending behavior of the FG-GOP reinforced composite beams.



中文翻译:

无网格法分析功能梯度氧化石墨烯粉增强复合材料梁的弯曲

本文利用无网格搭配研究了用氧化石墨粉(GOP)增强的直角,薄至中厚的功能梯度(FG)复合梁在两种边界条件下承受不同边界条件的线性弯曲响应的静态弯曲载荷基于多二次径向基函数的方法。GOP的重量分数被认为在复合梁的厚度方向上连续变化。为了确定FG-GOP增强复合材料梁的有效杨氏模量,使用了改进的Halpin-Tsai模型,而采用混合法则来估计等效泊松比。采用一阶剪切变形(FSDT)梁理论对功能梯度石墨烯粉(FG-GOP)增强复合梁进行建模。利用最小势能原理,得到了FG-GOP增强复合材料梁的静平衡方程及相关边界条件。控制方程式以矩阵矢量强形式重写,并使用多二次径向基函数离散化。进行了各种比较研究,以证明所提出数值模型的鲁棒性和准确性。进行了参数研究,以检查长高比,GOP分布模式,重量分数和GOP的大小,载荷的类型以及边界条件对FG-GOP增强复合材料梁弯曲性能的影响。控制方程式以矩阵矢量强形式重写,并使用多二次径向基函数离散化。进行了各种比较研究,以证明所提出数值模型的鲁棒性和准确性。进行了参数研究,以检查长高比,GOP分布模式,重量分数和GOP的大小,载荷的类型以及边界条件对FG-GOP增强复合材料梁弯曲性能的影响。控制方程式以矩阵矢量强形式重写,并使用多二次径向基函数离散化。进行了各种比较研究,以证明所提出数值模型的鲁棒性和准确性。进行了参数研究,以检查长高比,GOP分布模式,重量分数和GOP的大小,载荷的类型以及边界条件对FG-GOP增强复合材料梁弯曲性能的影响。

更新日期:2021-01-10
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