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Probabilistic multiscale modeling of 3D randomly oriented and aligned wavy CNT nanocomposites and RVE size determination

机译:3D随机取向和排列的波浪状CNT纳米复合材料的概率多尺度建模和RVE尺寸确定

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This paper presents a probabilistic multiscale approach to model the random spatial distribution of local elastic properties arising from the heterogeneous waviness and orientation of CNT fillers within a 3D microscale continuum representative volume element (RVE) of a CNT-reinforced polymer matrix. The proposed direction-sensitive 3D Karhunen-Loeve expansion (KLE) provides the basis to simulate stochastic variations in the CNT orientations rather than assuming a perfect alignment. Computational homogenization analyses are carried out to investigate the effects of the statistical parameters of random CNT waviness on the microscale continuum RVE size. The proposed probabilistic multiscale modelling framework allows to consider the uncertainty associated with the use of CNT nanocomposites for various applications.
机译:本文提出了一种概率多尺度方法,该方法用于模拟由CNT增强的聚合物基体的3D微米级连续体代表体积元素(RVE)中的CNT填料的不均匀波纹和取向引起的局部弹性的随机空间分布。拟议的方向敏感型3D Karhunen-Loeve展开(KLE)为模拟CNT方向的随机变化(而不是假设完美对齐)提供了基础。进行计算均质分析,以研究随机CNT波纹度的统计参数对微观连续体RVE大小的影响。所提出的概率多尺度建模框架允许考虑与在各种应用中使用CNT纳米复合材料相关的不确定性。

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