将纳米晶材料视为包括晶粒和晶界的两相复合材料.基于能量平衡概念推导出纳米晶材料的增量本构关系.最后将本文发展的模型用于纯铜的单轴拉伸实验,讨论了晶粒大小、形状和晶粒分布的影响,并将模型预测的结果和已有的实验结果进行比较.
Nanocrystalline (NC) materials can be treated as composite materials consisting of two phases, i..e. grain domain and grain boundary. In this paper, the incremental stress-strain relation is derived from the view point of energy balance. As a result, the stress-strain relation of different grain sizes is obtained, and also applied to the case of pure copper shape and statistical distribution of grain sizes on predicted by the present model are compared with under uniaxial tension. In addition, the the stress-strain relation are discussed, experimental data. effects of grain and the results