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力学进展 ›› 2004, Vol. 34 ›› Issue (2): 195-214.doi: 10.6052/1000-0992-2004-2-J2003-007

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非均匀微极介质的有效性质分析

胡更开;刘晓宁;荀飞   

  1. 北京理工大学理学院力学系
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2004-06-10 发布日期:1900-01-01

MICROMECHANICS OF HETEROGENEOUS MICROPOLAR MEDIUMS

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  1. 北京理工大学理学院力学系
  • Received:1900-01-01 Revised:1900-01-01 Online:2004-06-10 Published:1900-01-01

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 ≈lm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>>lm 时, 该方法自然退化成传统的细观力学方法.

关键词: 微极介质, 复合材料, 细观力学, 弹塑性, 尺度效应

Abstract: 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 \gg l \gg A \approx 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.

Key words: micropolar medium, micromechanics, composite