多尺度复合材料力学研究进展

多尺度复合材料力学是运用多尺度分析思想研究空间分布非均匀材料力学性能的学科, 近年来，多 组分、多层级先进材料的蓬勃发展和微纳米实验观测手段的不断进步，有力地推动了该学科的研究，论文围绕非均 匀材料力学性能的多尺度分析，首先从微纳米尺度到宏观尺度综述了常用的理论分析方法；接着分别针对非均匀 连续介质和离散体系介绍了常用的多尺度计算模拟方法；然后结合本课题组在纳米复合材料、抗冲击吸能材料、随 机网络材料和多层级自相似材料等方面的研究工作，举例说明了如何综合运用多种方法对各种复杂材料系统进行 多尺度分析；最后，展望了该领域还需进一步发展和完善的若干方向。

Research Progress in Multi-scale Mechanics of Composite Materials

Multi-scale mechanics of composite materials is the subject that studies mechanical properties of inhomogeneous materials by the means of multi-scale analysis. In recent years, significant progress has been achieved in micro- and nano-scale experimental techniques, and many new types of advanced materials with multiple phases and hierarchical structures have been proposed and even produced, which both greatly promote the development of multi-scale mechanics of composite materials. In order to present important approaches and current developments in the multi-scale analysis for mechanical properties of inhomogeneous materials, first, the classical and commonly-used theoretical approaches are reviewed in this paper from nano and micro scales to macro scale, and subsequently, the multi-scale computational methods are introduced for both heterogeneous continuum and discrete systems. In addition, some research examples are presented to show how to use the theoretical and computational multi-scale methods to analyze complex material systems, including the studies of authors’ group in nanocomposite materials, impact-resistant energy absorbing materials, network materials and hierarchical self-similar materials. Finally, some future study directions of multi-scale mechanics for inhomogeneous materials are prospected.