Effective Behavior of Heterogeneous Media
Effective Behavior of Heterogeneous Media
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DOI：
10.1007/978-1-4613-4166-6_27
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发表时间：
1977
期刊：
影响因子：
--
通讯作者：
J. Keller
中科院分区：
文献类型：
--
作者：
J. Keller
一个普遍的科学和技术问题是确定具有微观或小尺度不均匀性的介质的宏观或大尺度行为。用物质的分子组成来表达物质的连续性或宏观描述是这类问题的基本问题。另一个问题是确定由随机取向的小微晶组成的固体的总体行为的问题。第三个是描述复合材料的整体行为的技术问题，复合材料是由一种材料的宏观层或纤维嵌入另一种材料组成的。第四个例子是分析核反应堆，该核反应堆包含规则地排列在由第二种材料组成的矩阵中的一种材料的棒。第五个例子是描述电磁波或声波通过湍流运动中的流体的传播的问题。埃利奥特·蒙特罗尔通过使用统计力学的方法以及其他方法为解决这些问题做出了重大贡献。
A widespread problem of science and technology is that of determining the macroscopic or large scale behavior of a medium which exhibits microscopic or small scale heterogeneity. Expressing the continuum or macroscopic description of matter in terms of its molecular constituents is a basic problem of this type. Another is the problem of determining the gross behavior of a solid which is composed of small randomly oriented crystallites. A third is the technological problem of describing the overall behavior of composite materials, which are composed of macroscopic layers or fibers of one material imbedded in another material. A fourth example is that of analyzing a nuclear reactor which contains rods of one material regularly arranged in a matrix composed of a second material. A fifth example is the problem of describing the propagation of electromagnetic or acoustic waves through a fluid in turbulent motion. Elliott Montroll has contributed significantly to the solution of such problems by using the methods of statistical mechanics, as well as other methods.