Bounds on the effective tensor and the structural parameters for anisotropic two-phase composite material
Bounds on the effective tensor and the structural parameters for anisotropic two-phase composite material
复制标题
各向异性两相复合材料有效张量和结构参数的界限
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
C. Engström
中科院分区：
文献类型：
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作者：
C. Engström
本文讨论了从微观结构上估计复合材料的介电常数或导热系数等宏观性能。提出了一种估算各向异性两相复合材料体积分数等微观结构参数的新方法。参数的估计使用随机材料的测量信息，或者在周期性的情况下，使用数值实验信息。该方法用于导出有效张量的新边界，该边界包含了来自相关参数测量的信息。这些新的界限被称为跨性质界限。在各向异性情况下，给出了低阶微观结构参数的紧界。
This paper is concerned with the estimation of macroscopic properties such as the permittivity or the thermal conductivity of a composite material from the microstructure. A new method of estimating the microstructural parameters, such as the volume fraction of anisotropic two-phase composite material, is derived. The parameters are estimated using information from measurements of the random material or, in the periodic case, from numerical experiments. The method is used to derive new bounds on the effective tensor that incorporates information from measurements of a related parameter. These new bounds are called cross-property bounds. New tight bounds on low-order microstructural parameters are given in the anisotropic case.