An analytical solution on interface debonding for large diameter carbon nanotube-reinforced composite with functionally graded variation interphase
An analytical solution on interface debonding for large diameter carbon nanotube-reinforced composite with functionally graded variation interphase
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DOI：
10.1016/j.compstruct.2013.04.029
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发表时间：
2013-10
影响因子：
6.3
通讯作者：
Yancheng Zhang;Junhua Zhao;Yue Jia;Tarek Mabrouki;Y. Gong;Ning Wei;T. Rabczuk
中科院分区：
文献类型：
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作者：
Yancheng Zhang;Junhua Zhao;Yue Jia;Tarek Mabrouki;Y. Gong;Ning Wei;T. Rabczuk
导出了内表面具有功能梯度变化界面相（FGVI）的均质圆柱体的三维解析解。基于三维溶液，考虑FGVI和有效纤维模量，对碳纳米管增强纳米复合材料采用基于稀溶液的均相模型，其中碳纳米管与界面相的连接采用基于van der was的内聚规律。参数化研究表明：(1)FGVI增加了复合材料刚度，但导致黏结界面的早期脱粘。(2)界面黏结强度对宏观应力-应变峰值强度影响较大，黏结强度越高，宏观峰值强度越高。(3)在不考虑有效纤维模量的情况下，低估了宏观应力应变关系的峰值强度，且FGVI有效模量的影响大于有效纤维的影响。(4)大直径的碳纳米管在很小的应变下带来应力下降，特别是对于体积分数较大的碳纳米管。
A three-dimensional (3D) analytical solution is derived for homogeneous cylinder with the functionally graded variation interphase (FGVI) at the inner surface. Based on the 3D solution, the dilute solution-based homogeneous model is adopted for the carbon nanotube (CNT)-reinforced nanocomposite considering FGVI and effective fibre modulus, in which the van der Waals-based cohesive law is adopted for the connection between CNT and the interphase. Parametric studies demonstrate that: (1) FGVI increases the composite stiffness, while it leads to the earlier debonding of the cohesive interface. (2) The peak strength of the macroscopic stress–strain is greatly influenced by the cohesive strength at the interface, higher cohesive strength leads to higher macroscopic peak strength. (3) The peak strength of the macroscopic stress–strain relation is underestimated without considering the effective fibre modulus, and the influence of the effective FGVI modulus is larger than that of the effective fibre. (4) CNTs of the large diameter bring the stress drop at a very small strain, especially for the large volume fraction of CNT.