| 均质化法在分析非连续碳纳米管增强复合材料微观应力分布规律中的应用 |
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| 引用本文： | 罗冬梅,汪文学,高雄善裕.均质化法在分析非连续碳纳米管增强复合材料微观应力分布规律中的应用[J].复合材料学报,2007,24(3):186-192. |
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| 作者姓名： | 罗冬梅 汪文学 高雄善裕 |
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| 作者单位： | 1.佛山科学技术学院环境与土木工程建筑学院, 佛山 528000, 中国; |
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| 摘 要： | 利用具有精确周期性边界条件的均质化理论, 用宏微观有限元法分析了非连续碳纳米管呈规则和交错2 种排列情况下, 纳米管沿管长方向的应力分布规律。为保证传统的连续力学理论的适用性, 本文中的碳纳米管采用了用分子动力学方法简化的等效纤维模型。规则排列所得结果与应用Cox 剪滞理论及Lauke、Fu 等经典理论得出的结果比较发现: 除了经典理论中指出的碳纳米管长径比及纳米管体积含量2 个因素外, 纳米管形状及在基体中的排列方式对材料的力学性质也有较大影响。交错排列的纳米管在复合材料中有较高效率的应力转化和传递能力, 碳纳米管的端部间距(2 Tf ) 对应力的分布有较大的影响。结果显示出碳纳米管作为材料增强相的特殊性, 证明了均质化理论分析碳纳米管增强复合材料应力分布规律的可行性。
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| 关 键 词： | 碳纳米管增强复合材料 均质化理论 应力分布 规则排列与交错排列 |
| 文章编号： | 1000-3851（2007）03-0186-07 |
| 收稿时间： | 2006-10-08 |
| 修稿时间： | 2006-10-082007-01-04 |
Application of homogenization method on the analysis of micro-stress distributionin non-continuous carbon nanotube reinforced composites |
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| Luo Dongmei,Wang Wenxue,Takao Yoshihiro.Application of homogenization method on the analysis of micro-stress distributionin non-continuous carbon nanotube reinforced composites[J].Acta Materiae Compositae Sinica,2007,24(3):186-192. |
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| Authors: | Luo Dongmei Wang Wenxue Takao Yoshihiro |
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| Affiliation: | 1.Environment and Civil Engineering School, Foshan University, Foshan 528000, China;2.Research Institute for Applied Mechanics, Kyushu University, Kasuga 816-8580, Japan |
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| Abstract: | The stress distribution of non-continuous carbon nanotubes(CNTs)/polymer composites was analyzed using the homogenization method with exact periodic boundary conditions,and the numerical calculations for regular and stagger array models were performed by the macro-microscopic finite element method(FEM).In order to utilize the traditional continuous mechanics approaches to determine the mechanical properties of CNTs composites,the carbon nanotubes here were simplified as the effective fiber models which were obtained from the molecular dynamics simulation.The results obtained from regular array model were compared with those from Cox' shear-lag model,Lauke and Fu theories,which show that the stresses transfer in CNTs composites are not only related to the aspect ratio and volume fraction of CNTs as described in the above theories,but also sensitive to CNTs arrays and CNTs' geometrical configuration within the selected representative volume element(RVE).A better stress transfer efficiency is obtained from stagger array,and the distance between two CNTs(2Tf) has a great influence on the stress distribution.The results show that there are some special characteristics for CNTs as the reinforcement phase of composites,and they also prove that the homogenization method with multi-CNTs is efficient to analyze the stress transfer in CNTs composites. |
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| Keywords: | carbon nanotubes reinforced composites homogenization method stress distribution regular and stagger array |
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