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用类似于量子物理中的散射理论方法,从显微结构角度导出了一个统一的显微物理模型,此模型能描述统计均匀的非均质材料性能的变化规律。对于这个难解的精确模型,得到了一个很好的近似——改进的有效介质近似(IEMA),它能较好地用于描述非均质材料的有效性能参数к。文中还从性能和几何标度两个方面讨论了材料性能变化中的渗流理论,渗流理论能较好地用来描述材料在临界点附近的特性。IEMA和渗流理论的结合对描述无机材料显微结构与性质的定量关系是很重要的。
In a similar way to the theory of scattering in quantum physics, a uniform microscopic physical model is derived from the microstructure perspective. This model can describe the variation of the properties of heterogeneous materials with uniform statistics. For this exact model, a good approximate-modified effective medium approximation (IEMA) is obtained, which can be better used to describe the effective performance parameter k of heterogeneous materials. The paper also discusses the percolation theory in material property change from two aspects of performance and geometric scale. The seepage theory can be better used to describe the properties of the material near the critical point. The combination of IEMA and seepage theory is important to describe the quantitative relationship between the microstructure and properties of inorganic materials.