Maxwell's methodology of estimating effective properties: Alive and well.
Maxwell's methodology of estimating effective properties: Alive and well.
复制标题
DOI：
10.1016/j.ijengsci.2019.05.001
复制
发表时间：
2019-07
影响因子：
6.6
通讯作者：
I. Sevostianov;S. Mogilevskaya;V. Kushch
中科院分区：
文献类型：
--
作者：
I. Sevostianov;S. Mogilevskaya;V. Kushch
本文介绍了一个全面的审查远场为基础的方法，估计的有效性能的多相复合材料，是由麦克斯韦在1873年的背景下，有效的导电性的颗粒增强材料。麦克斯韦提出，在均匀电场作用下，嵌入无限介质中的粒子团与电导率等于有效电导率的等效球具有相同的远场渐近;这产生了有效电导率的封闭形式公式。我们的评论集中在随后的发展麦克斯韦的想法在各种应用和其适用范围。结论是，145年后，这种方法仍然存在，而且很好。
This paper presents a comprehensive review of the far-field-based methodology of estimation of the effective properties of multi-phase composites that was pioneered by Maxwell in 1873 in the context of effective electrical conductivity of a particle-reinforced material. Maxwell suggested that a cluster of particles embedded in an infinite medium subjected to a uniform electrical field has the same far-field asymptotic as an equivalent sphere whose conductivity is equal to the effective one; this yields closed-form formula for the effective conductivity. Our review focuses on subsequent developments of Maxwell’s idea in various applications and on its range of applicability. The conclusion is that, 145 years later, the methodology is still alive and well.