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本文主要利用数字梯度敏感方法(DGS)和Eshelby等效夹杂理论研究纤维束与基体裂纹的相互作用机制.首先,利用DGS方法得到了碳纳米管改性纤维束模型、未改性纤维束模型基体裂纹尖端的位移场分布及演化规律,并提取了相应的基体裂纹尖端应力强度因子.其次,利用Eshelby等效夹杂理论分析了碳纳米管改性纤维束模型、未改性纤维束模型的基体裂纹尖端应力强度因子的影响机制.最后,比较了碳纳米管改性纤维束夹杂和未改性纤维束夹杂两种模型中基体裂纹尖端应力强度因子的理论预测结果与DGS实验结果,吻合较好.研究成果为纤维束与基体相互作用机制提供了可靠的实验依据及理论参考.
In this paper, we mainly study the interaction mechanism between fiber bundle and matrix by means of the digital gradient sensitive method (DGS) and the Eshelby equivalent inclusion theory.Firstly, the carbon nanotube-modified fiber bundle model, the unmodified fiber bundle model substrate The displacement field distribution and evolution law of the crack tip and the corresponding stress intensity factor at the crack tip of the matrix were extracted.Secondly, based on the Eshelby equivalent inclusion theory, the matrix crack of the carbon nanotube-modified fiber bundle model and the unmodified fiber bundle model Finally, the theoretical prediction results of the stress intensity factor at the matrix crack tip in two kinds of models of carbon nanotube-modified fiber bundles and unmodified fiber bundles are compared with the DGS experimental results, which are in good agreement. The research results provide a reliable experimental basis and theoretical reference for the interaction mechanism between fiber bundles and matrix.