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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Hierarchical Field Compositions For Simulations Of Near-percolation Thermal Transport In Particulate Materials
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Hierarchical Field Compositions For Simulations Of Near-percolation Thermal Transport In Particulate Materials

机译：模拟颗粒材料中近渗热传输的分层场组成

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摘要

In this paper, we simulate heat transport in complex three-dimensional particulate microstructures using a computational procedure based on the formalism of hierarchical partition of unity field compositions (HPFC) recently developed by the authors. The computational procedure is based on constructing complex behavioral fields through Boolean compositions of primitive fields. It is demonstrated that the Boolean compositions efficiently model topological changes caused by the modification/rearrangement of the second phases in the heterogeneous material microstructure. The developed method is applied to evaluate the effective thermal conductivity of two particulate systems, namely, alumina particles in silicone oil and aluminum particles in silicone oil. Three-dimensional simulations of thirty random arrangements of the heterogeneous microstructure at a fixed 58% volume fraction were carried out so as to enable comparisons with experiments (15 measurements of each particle-matrix combination) conducted at an identical volume loading. The microstructures are systematically (and statistically) characterized using matrix-nearest surface exclusion probability functions. The agreement between the experiments and the simulations (mean values were within 10% of each other) validated the near-percolation transport mechanism in these practical material systems. The simulations also underscore the importance of capturing complex three-dimensional (random) particle arrangements and inter-particle interactions. It is demonstrated that these complex three-dimensional microstructural effects may explain experimental results that are sometimes ascribed to an imperfect interface and a non-verifiable interfacial resistance.
机译：在本文中，我们根据作者最近开发的统一场组成（HPFC）分层划分的形式化，使用计算程序模拟了复杂的三维微粒微观结构中的热传递。该计算过程基于通过原始字段的布尔组合构造复杂的行为字段。证明了布尔组成有效地建模了异质材料微观结构中第二相的修改/重排所引起的拓扑变化。所开发的方法用于评估两种颗粒体系的有效导热率，即硅油中的氧化铝颗粒和硅油中的铝颗粒。进行了以固定的58％体积分数对30种异质微观结构的随机排列进行三维模拟，以便能够与在相同体积载荷下进行的实验（每种颗粒-基质组合进行15次测量）进行比较。使用矩阵最近表面排除概率函数对微观结构进行系统（和统计）表征。实验与模拟之间的一致性（均值在彼此的10％之内）验证了这些实际材料系统中的近渗传输机制。模拟还强调了捕获复杂的三维（随机）粒子排列和粒子间相互作用的重要性。结果表明，这些复杂的三维微观结构效应可以解释有时归因于不完善的界面和不可验证的界面阻力的实验结果。

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