Effective Conductivity of Continuum Composites: A Spectral Function Approach

9704099天这是给马奎特的戴教授和密歇根州立大学的索普教授的理论研究基金。这项工作涉及到使用谱函数方法来计算复合材料的有效电导率。谱函数本质上是两组分复合材料有效电导率奇点的密度，它包含了关于复合材料几何形状的所有信息。因此，了解各种几何形状的光谱函数，并了解它如何随着几何形状的变化而变化，将为理解微观结构和材料性能之间的关系提供一个强大的新工具。这项理论研究将在马凯特大学和密歇根州立大学进行。这项工作涉及一种新的方法来确定由两个组分组成的材料的性质，即复合材料。这些材料是非常常用的，这项研究的结果应该有助于这些有用材料的设计。在更基本的基础上，这项研究将有助于将材料的微观结构与其宏观性能联系起来。***

9704099 Day This is a theoretical research grant to Professor Day at Marquette and Professor Thorpe at Michigan State. The work involves using a spectral function approach to calculate the effective conductivity of composites. The spectral function is essentially a density of the singularities of the effective conductivity of a two-component composite and contains all of the information about the geometry of the composite. Consequently, knowing the spectral function for a wide range of geometries, and seeing how it varies with a change in geometry, will provide a powerful new tool for understanding the relationship between microstructure and material properties. %%% This theoretical research will be done at both Marquette University and Michigan State University. The work involves a new way of determining the properties of materials comprised of two components, i.e., composite materials. These materials are used quite commonly and the results of this research should aid in the design of these useful materials. On a more fundamental basis, this research will aid in relating microstructure of materials to their macroscopic properties. ***