Effect of Fiber Orientation and Volume Fraction on Young's Modulus for Unidirectional Carbon Fiber Reinforced Composites: A Numerical Investigation

Md Sakhawat Hossain, Md Sayed Anwar, Md Shariful Islam, Md Arifuzzaman
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Abstract

The modulus of elasticity of unidirectional fiber-reinforced composites greatly depends on the fiber orientation and the fiber volume fraction. This paper investigates the effects of fiber orientation and fiber volume fraction using the commercially available Finite Element Analysis (FEA) software Abaqus. Carbon fiber is the reinforcing material, while epoxy is used as the matrix. Representative Volume Element (RVE) of the unidirectional carbon fiber reinforced composites are modeled in Abaqus, and the unidirectional tensile test is simulated to determine the modulus of elasticity for different fiber orientations and fiber volume fractions. The numerical results are verified by previously published results and by experimental results. It is found that the modulus of elasticity of the composite is maximum when the fiber inclination angle is 0°, i.e., the fibers are placed along the loading direction. As the fiber orientation angle increases, the modulus of elasticity also decreases and is almost constant after 45°. A linear increase in modulus of elasticity is observed for an increase in fiber volume fraction. This model will help the researcher to select the appropriate fiber orientation and volume fraction for a specific application.
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纤维方向和体积分数对单向碳纤维增强复合材料杨氏模量的影响:数值研究
单向纤维增强复合材料的弹性模量在很大程度上取决于纤维取向和纤维体积分数。本文使用市售有限元分析(FEA)软件 Abaqus 研究了纤维取向和纤维体积分数的影响。碳纤维为增强材料,环氧树脂为基体。在 Abaqus 中建立了单向碳纤维增强复合材料的代表体积元素(RVE)模型,并模拟了单向拉伸试验,以确定不同纤维取向和纤维体积分数下的弹性模量。数值结果与之前公布的结果和实验结果进行了验证。结果发现,当纤维倾斜角为 0°,即纤维沿加载方向放置时,复合材料的弹性模量最大。随着纤维取向角的增大,弹性模量也随之减小,45° 后几乎保持不变。随着纤维体积分数的增加,弹性模量也呈线性增加。该模型有助于研究人员为特定应用选择合适的纤维取向和体积分数。
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