【摘要】：納米科技的快速發(fā)展,使得納米材料對人類的生產(chǎn)和生活方式產(chǎn)生越來越廣泛而深遠(yuǎn)的影響。碳納米管復(fù)合材料作為碳納米材料中的杰出代表,已經(jīng)成為當(dāng)代科學(xué)研究最活躍的領(lǐng)域之一,對增強(qiáng)聚合物基復(fù)合材料的研究也更加深入。本文以碳納米管增強(qiáng)聚合物基復(fù)合材料為研究對象,提出隨機(jī)格形化方法,通過建立碳納米管及其復(fù)合材料納觀、微觀、細(xì)觀的多尺度有限元模型,預(yù)測了單壁碳納米管增強(qiáng)聚合物基復(fù)合材料有效力學(xué)性能,同時(shí)量化研究了相關(guān)重要輸入?yún)?shù)對材料有效力學(xué)性能的影響。主要研究內(nèi)容包括:1、基于分子結(jié)構(gòu)力學(xué)理論,將碳納米管的C-C共價(jià)鍵等效為空間梁單元,利用大型有限元軟件ANSYS建立碳納米管空間結(jié)構(gòu)有限元模型。模擬計(jì)算碳納米管的等效力學(xué)性質(zhì),并研究碳納米管直徑對于其結(jié)構(gòu)力學(xué)性能的影響。2、建立碳納米管與聚合物基體相互作用的微觀模型并分析其力學(xué)性能。采用圓柱狀代表性體積單元(REV),REV包括基體、界面和碳納米管。建立有限元模型,考慮碳納米管嵌入長度影響,計(jì)算得到不同碳納米管體積分?jǐn)?shù)下復(fù)合材料力學(xué)參數(shù)。3、在細(xì)觀維度建立隨機(jī)格形化有限元模型,基于蒙特卡羅方法基本思想,采用不同分布函數(shù)借用MATLAB生成復(fù)合材料單元力學(xué)性能的隨機(jī)參數(shù)組,將參數(shù)組投放到模型網(wǎng)格中對格形單元賦值,建立樣本試件的格形化有限元模型。4、根據(jù)隨機(jī)格形化有限元模型估算材料有效力學(xué)性質(zhì),并與文獻(xiàn)研究結(jié)果對比,證明結(jié)論的可靠性。討論不同單元數(shù)、碳納米管質(zhì)量分?jǐn)?shù)及離散情況等對于復(fù)合材料有效力學(xué)性質(zhì)的影響。
[Abstract]:With the rapid development of nanotechnology, nanomaterials have a more and more extensive and far-reaching impact on the production and life style of human beings. As an outstanding representative of carbon nanocomposites, carbon nanotube composites have become one of the most active fields of contemporary scientific research, and the research on reinforced polymer matrix composites is also more in-depth. In this paper, the carbon nanotube reinforced polymer matrix composites are taken as the object of study, and a stochastic lattice method is proposed, and the multi-scale finite element model of carbon nanotubes and their composites is established by means of nano, micro and mesoscale finite element models. The effective mechanical properties of single-walled carbon nanotube reinforced polymer matrix composites were predicted and the effects of important input parameters on the effective mechanical properties of the composites were quantitatively studied. The main research contents are as follows: 1. Based on the theory of molecular structural mechanics, the C-C covalent bond of carbon nanotubes is equivalent to the space beam element, and the finite element model of carbon nanotube space structure is established by using the large-scale finite element software ANSYS. The equivalent mechanical properties of carbon nanotubes were simulated and the influence of the diameter of carbon nanotubes on their structural mechanical properties was studied. 2. The microscopic model of the interaction between carbon nanotubes and polymer matrix was established and the mechanical properties were analyzed. The (REV), REV consists of matrix, interface and carbon nanotubes. The finite element model was established, and the mechanical parameters of composites with different volume fraction of carbon nanotubes were calculated by taking into account the influence of the embedded length of carbon nanotubes. 3. The stochastic lattice finite element model was established in the meso-dimension, based on the basic idea of Monte Carlo method. Different distribution functions are used to generate random parameter groups of the mechanical properties of composite elements by using MATLAB, and the parameter groups are placed into the model grid to assign values to the lattice elements. The lattice finite element model of the sample specimen is established. 4. According to the stochastic lattice finite element model, the effective mechanical properties of the material are estimated, and compared with the results of the literature, the reliability of the conclusion is proved. The effects of different cell numbers, carbon nanotubes mass fraction and dispersion on the effective mechanical properties of composites are discussed.
【學(xué)位授予單位】：暨南大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2015
【分類號】：O341;TB33

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