摘要
建立复合材料的有效性质与微结构参数的关联，是复合材料优化设计的基础．本文具体针对有效弹性性质，重点介绍了建立有效性质的基本思路和主要分析方法．首先讨论了代表单元的概念，然后分别从复合材料有效性质的普适关系、界限理论和近似方法三个不同的视角较全面地介绍了建立非均质材料有效性质的方法、主要结果和最新进展．重点从构型的概念和微结构分布形式上分析了各种模型间及分析方法之间的联系与差别．最后还就建立非均质材料有效性质中存在的问题和研究热点做了简单的介绍．
Correlating the effective properties of composite materials with their microstructures is a basis for optimization design of composite materials. In this review article, the focus is on the basic ideas and major methods for analyzing the effective properties, mostly within the frame-work of elasticity. After a brief discussion on the concept of representative volume element, the micromechanics methods, major results and recent advances on the effective properties of compos- ite materials are described in a fairly comprehensive manner on three predominate aspects: the universal relations, the upper and lower bounds and the approximate estimates. The relations and differences among various models, methods and estimates are analyzed based upon the configu-ration concept and microstructures. Finally, some comments are made on some research topics of current interest and some open questions in the field of effective properties of heterogeneous materials.
出处
《力学进展》
EI
CSCD
北大核心
2001年第3期361-393,共33页
Advances in Mechanics
基金
国家自然科学基金(10032010
19802003
19525207
19891180)资助项目
关键词
复合材料
有效性质
细观力学
弹性
composite materials, effective properties, micromechanics, elasticity
