考虑晶粒几何形状的尺度效应

郭辉; 郭兴明

考虑晶粒几何形状的尺度效应

郭辉,
郭兴明

上海大学, 上海市应用数学和力学研究所,上海 200072

基金项目: 国家自然科学基金资助项目(10472061);上海市科委基础研究重点基金资助项目(04JC14034);教育部博士点基金资助项目(20060280015);上海市重点学科建设基金资助项目(Y0103)

详细信息

作者简介:
郭兴明(联系人.E-mail:xmguo@mail.shu.edu.cn).

中图分类号: TB383；TG115.5
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- 文章访问数: 2986
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- 被引次数: 0
出版历程
- 收稿日期: 2006-07-10
- 修回日期: 2006-12-07
- 刊出日期: 2007-02-15

Scale Effect and the Geometric Shapes of Grains

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

摘要

摘要: 复合材料方法中的混合律方法在研究纳米晶体材料力学性能时得到了广泛的使用,准确得出各相的体积分数对该方法结果的准确性具有十分重要的影响．将纳米晶体看成由晶界、晶粒和三叉晶三相组成的复合材料,根据晶粒具有多面体的几何特点,用二维的三相复合的正多边形模型来研究纳米晶体力学性能的尺度效应,对于不同几何形状的晶粒采用对应的正多边形模型,这样我们就可以更加准确地得到各相的体积分数,从而更好地预测纳米晶体材料的力学性能．
- 纳米晶体 /
- 正多边形模型 /
- 屈服应力 /
- 体积分数 /
- 晶界
Abstract: The "rule-of-mixture" approach has become one of the widely spread ways to investigate the mechanical properties of nano-materials and nano-structures,and it is very important for the simulation results to exactly compute phase volume fractions.The nanocrystalline(NC) materials were treated as three-phase composites consisting of grain core phase,grain boundary (GB) phase and triple junction phase,and a two-dimensional three-phase mixture regular polygon model was established to investigate the scale effect of NC materials mechanical properties due to the geometrical polyhedron characteristics of crystal grain.For different multi-sides geometrical shapes of grains,the corresponding multi-sides regular polygon model was adopted to obtain more precise phase volume fractions and exactly predict the mechanical properties of NC materials.
- nanocrystalline (NC) material /
- phase mixture regular polygon models /
- yield stress /
- volume fractions /
- grain boundary (GB)

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参考文献(32)

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