中文摘要：

简要介绍了多尺度方法的分类及各自的适用范围, 重点阐述了主要的多尺度分析方法------均匀化理论, 详细论述了多尺度分析方法在纤维增强复合材料弹性、黏弹性、塑性、失效退化、热力学等力学性能中的研究进展, 最后对多尺度分析方法的前景进行了展望.

英文摘要：

Multi-scale analysis method is a new method which considers the characters of the spatial and temporal cross-scales and cross-levels, and also the relevant scales＇ coupling. This method uses the overall homogeneous material to replace the original non-homogeneous materials, and can also meet the requirement of strain energy of the two systems being completely or approximately the same. This method is a very important technique for solving complex problems in engineering practice and materials science fields. In recent years, with the development of micromechanics and the advancement of asymptotic homogenization theory, the multi-scale analysis method has been gradually applied to the analysis of the mechanical properties of fiber-reinforced composites. This paper briefly presents the classification of the multi-scale analysis methods and their corresponding ranges of application, with emphasis laid on its main method-homogenization theory. Then its research developments in the field of mechanical properties, such as elasticity, visco-elasticity, plasticity, failure degradation, thermodynamics and others, are given in detail. Finally, the prospect of multi-scale analysis of fiber-reinforced composites are given.