Basic modifications in 3D micromechanical modeling of short fiber composites with bonded and debonded fiber end
Basic modifications in 3D micromechanical modeling of short fiber composites with bonded and debonded fiber end
复制标题
具有粘合和脱粘纤维端部的短纤维复合材料 3D 微机械建模的基本修改
DOI：
10.1016/j.commatsci.2007.01.021
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发表时间：
2007
影响因子：
3.3
通讯作者：
M. Pahlavanpour
中科院分区：
文献类型：
--
作者：
A. Abedian;M. Mondali;M. Pahlavanpour
本文提出了一种改进的短纤维复合材料三维弹性应力场分析模型。基于弹性力学理论，推导了基体和纤维的两组精确位移解。这些解决方案的叠加状态，然后用于获得整个复合材料系统的三维应力场分量的解析表达式，包括纤维端部区域，这是通过使用假想纤维技术建模。与以前的工作的主要区别是，这里的应力场被认为是径向和轴向方向的函数。这样的假设使得有可能计算径向位置对纤维和假想纤维区域中的应力和应变分布的影响，这一事实在以前的工作中被忽略了。然后通过有限元建模验证了这里获得的分析结果。有趣的是，所有的应力，应变和位移分量的分析和数值预测之间发现良好的协议。所提出的分析模型的另一个优点是在其解决问题的能力与纤维/基体脱粘缺陷。
A modified analytical model is developed for analysis of 3D elastic stress fields in short fiber composites subjected to an applied axial load. Two sets of exact displacement solutions for the matrix and fiber are derived based on the theory of elasticity. The superposition state of these solutions are then used to obtain the analytical expressions for the 3D stress field components over the entire composite system including the fiber end region, which is modeled by the use of imaginary fiber technique. The main difference with the previous works here is that the stress field is considered to be a function of both radial and axial directions. Such an assumption made it possible to calculate the effects of radial position on the stress and strain distributions in the fiber and imaginary fiber regions, the fact that has been ignored by previous works. The analytical results obtained here are then validated by the FEM modeling. Interestingly, good agreements are found between the analytical and numerical predictions for all the stress, strain and displacement components. Another superiority of the proposed analytical model is in its capability of solving problems with fiber/matrix debonding defect.