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A Study of Finite Size Effects and Periodic Boundary Conditions to Simulations of a Novel Theoretical Self-Consistent Mean-Field Approach

机译:一种有限尺寸效应和定期边界条件的模拟,对大学理论自洽意义平均场法的模拟

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摘要

In a previous work, a very promising mathematical model for predicting the electrical conductivity below the electrical percolation threshold, for both isotropic and anisotropic composites, was published by Schubert. In this work, periodic boundary condition of the simulation is utilized. The results are also compared to the previous work and other theoretical models. The truncated fibers due to finite size of the simulation volume are considered as two individual pieces so that the real aspect ratios will also be taken into consideration. A comparison is made between two groups, in which the length and the radius of the carbon fibers are changed, respectively, under certain aspect ratios. With three different sizes of the simulation volumes, the influence on the results due to the finite size effect is calculated.
机译:在先前的工作中,通过Schubert公布了用于预测各向同性和各向异性复合材料以下的用于预测电导率低于电渗滤阈值的电导率的非常有前途的数学模型。 在这项工作中,利用了模拟的周期性边界条件。 结果也与以前的工作和其他理论模型进行了比较。 由于仿真体积的有限尺寸导致的截头纤维被认为是两个单独的件,以便也将考虑真正的纵横比。 在两组之间进行比较,其中在某些纵横比下分别改变碳纤维的长度和半径。 利用三种不同的尺寸的模拟体积,计算了由于有限尺寸效应引起的结果的影响。

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