郑晓霞 郑锡涛 缑林虎. 多尺度方法在复合材料力学分析中的研究进展[J]. 力学进展, 2010, 40(1): 41-56. doi: 10.6052/1000-0992-2010-1-J2008-104 引用本文: 郑晓霞 郑锡涛 缑林虎. 多尺度方法在复合材料力学分析中的研究进展[J]. 力学进展, 2010, 40(1): 41-56. doi: 10.6052/1000-0992-2010-1-J2008-104 ZhengXiao-xia, ZhengXi-tao. The research progress on multiscale method for the mechanical analysis of composites[J]. Advances in Mechanics, 2010, 40(1): 41-56. doi: 10.6052/1000-0992-2010-1-J2008-104 Citation: ZhengXiao-xia, ZhengXi-tao. The research progress on multiscale method for the mechanical analysis of composites[J]. Advances in Mechanics , 2010, 40(1): 41-56. doi: 10.6052/1000-0992-2010-1-J2008-104 郑晓霞 郑锡涛 缑林虎. 多尺度方法在复合材料力学分析中的研究进展[J]. 力学进展, 2010, 40(1): 41-56. doi: 10.6052/1000-0992-2010-1-J2008-104 引用本文: 郑晓霞 郑锡涛 缑林虎. 多尺度方法在复合材料力学分析中的研究进展[J]. 力学进展, 2010, 40(1): 41-56. doi: 10.6052/1000-0992-2010-1-J2008-104 ZhengXiao-xia, ZhengXi-tao. The research progress on multiscale method for the mechanical analysis of composites[J]. Advances in Mechanics, 2010, 40(1): 41-56. doi: 10.6052/1000-0992-2010-1-J2008-104 Citation: ZhengXiao-xia, ZhengXi-tao. The research progress on multiscale method for the mechanical analysis of composites[J]. Advances in Mechanics , 2010, 40(1): 41-56. doi: 10.6052/1000-0992-2010-1-J2008-104

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.

多尺度分析方法, 复合材料,力学性能, 细观力学, 均匀化理论 Abstract:

Multi-scale analysismethod is a new method which considers the characters of thespatial and temporal cross-scales and cross-levels, and also therelevant scales' coupling. This method uses the overallhomogeneous material to replace the original non-homogeneousmaterials, and can also meet the requirement of strain energy ofthe two systems being completely or approximately the same. Thismethod is a very important technique for solving complex problemsin engineering practice and materials science fields. In recentyears, with the development of micromechanics and the advancementof asymptotic homogenization theory, the multi-scale analysismethod has been gradually applied to the analysis of themechanical properties of fiber-reinforced composites. This paperbriefly presents the classification of the multi-scale analysismethods and their corresponding ranges of application, withemphasis laid on its main method-homogenization theory. Then itsresearch developments in the field of mechanical properties, suchas elasticity, visco-elasticity, plasticity, failure degradation,thermodynamics and others, are given in detail. Finally, theprospect of multi-scale analysis of fiber-reinforced compositesare given.

Key words: multi-scale analysis method,composites, mechanical performance, micromechanics, homogenizationtheory

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