摘要
首先讨论了不同尺度关系下宏细观过渡方法,然后重点介绍了尺度关系满足L l A≈l_m时(适用于金属基复合材料,泡沫基复合材料和纳米复合材料等),构元材料看作微极介质,而均质化后的材料仍可看作传统Cauchy介质时的解析弹塑性细观力学方法。在这样的理论框架下,细观结构的尺度影响可作为变量引入细观力学模型,并且当A l_m时 该方法自然退化成传统的细观力学方法。
Different homogenization schemes are discussed in view of the order relations for the different
length scales. The emphasis is then placed on the micro-macro transition from local micropolar mediums to a
homogenized Cauchy medium, suitable for the following order relation of the length scales L >> l >> A ≈ l_m.
The microstructural size effect can be naturally taken into account in the proposed homogenization scheme.
This method is useful for the metal matrix composites, foam matrix composites and nanocomposites, in which
the microstructural length scales of the matrix are important compared to that of the reinforced phase.
出处
《力学进展》
EI
CSCD
北大核心
2004年第2期195-214,共20页
Advances in Mechanics
基金
国家自然科学基金(19802003)
国家杰出青年基金(10325210)
