THE ELASTIC AND THERMO-ELASTIC PROPERTIES OF COMPOSITE MEDIA
THE ELASTIC AND THERMO-ELASTIC PROPERTIES OF COMPOSITE MEDIA
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DOI：
10.1088/0370-1301/69/8/305
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发表时间：
1956-01-01
期刊：
影响因子：
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通讯作者：
KERNER, EH
中科院分区：
文献类型：
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作者：
KERNER, EH
在前一篇论文的延续中，这里示出了由颗粒悬浮液或颗粒压块组成的复合材料的总体积模量和剪切模量可以如何推导。假设颗粒与悬浮介质或彼此之间完全结合，并且平均为球体。本文采用Bruggeman的平均方法，分析了均匀静水压力和均匀拉力对平均颗粒的影响，得到了一对解耦的悬浮体总模量方程。当悬浮介质消失和颗粒堆积时，这些方程耦合，总模量出现不连续性。当复合材料作为一个整体受到一些小的温度变化时，两种复合材料的体积线膨胀系数的平均球形颗粒的膨胀和体积应力的分析。所有结果都不受分量数量的任何限制。
In a continuation of a previous paper, it is shown here how the gross bulk and shear moduli of a composite material consisting of a suspension of grains or a compact of grains may be deduced. The grains are assumed to be perfectly bonded to the suspending medium or to each other, and are taken to be spheres in the mean. By using an averaging procedure due to Bruggeman, and analysing the effect of a uniform hydrostatic compression and of a uniform tension on an average grain, a pair of de-coupled equations for the gross moduli is found for suspensions. When the suspending medium vanishes and the grains are packed, these equations become coupled and there is exhibited a discontinuity in the gross moduli. The bulk coefficients of linear expansion of the two kinds of composites are found from an analysis of the dilatation and bulk stress for average spherical grains when the composite as a whole is subjected to some small temperature change. All results are free of any limitation on the number of components.