采用 ANSYS12．0和蒙特卡洛随机方法构建了碳纳米管水泥基复合材料的有限元模型，并基于有限元法分析了碳纳米管长径比、直径和掺量对复合材料有效电阻率的影响，并在此基础上通过有效介质方程对有效电阻率数值解和电阻率实验值进行了拟合.数值计算结果表明，碳纳米管水泥基复合材料有效电阻率的有限元解与解析解较为一致，证明采用有限元法进行电学分析具有可行性；碳纳米管水泥基复合材料有效电阻率随碳纳米管掺量和碳纳米管长径比增加而减小，随着碳纳米管直径的减小而减小；有效介质方程对碳纳米管水泥基复合材料有效电阻率实验值和有限元数值解拟合曲线变化趋势是一致的.
The finite element model of carbon nanotube (CNT)cement-based composites was set up by using ANSYS 12.0 and Monte Carlo method.The effects of aspect ratio,diameter and concentration of CNT on the effective electrical resistivity of composites were investigated with finite element analysis method.Furthermore, the effective resistivity calculated by finite element analysis and the resistivity tested in experiment were respec-tively regressed through general effectvie media equation.The results of numerical simulation show that the re-sistivity calculated with finite element analysis consists with the experiment results.This proves that using fi-nite element analysis to simulate electrical property of CNT cement-based composites was feasible.The effective resistivity of CNT cement-based composites decreases with the increasing of the CNT concentration and CNT aspect ratio,and the decreasing of the CNT diameter.The curve changes regressed by general effectvie media on the numerical results of the effective resistivity of the CNT cement-based composites calculated with finite ele-ment analysis are consistent with the experiment results.
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