Effective Conductivity of Continuum Composites: A Spectral Function Approach

连续体复合材料的有效电导率：谱函数方法

• 批准号: 9704099
• 负责人: Anthony Roy Day
• 金额: $ 10.62万
• 依托单位: Marquette University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-04-15 至 2001-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9704099&HistoricalAwards=false
• 关键词: Effective; Conductivity; Continuum; Composites; Spectral

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. ***

9704099日这是一个理论研究资助教授日在马奎特和索普教授在密歇根州。 这项工作涉及到使用谱函数的方法来计算复合材料的有效电导率。 谱函数本质上是双组分复合材料的有效电导率的奇点的密度，并且包含关于复合材料的几何形状的所有信息。 因此，了解各种几何形状的谱函数，并了解它如何随几何形状的变化而变化，将为理解微观结构与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奎特大学和密歇根州立大学同时进行。 这项工作涉及一种新的方法来确定由两种成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的材料的设计。 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。 ***