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用边界元法分析纳米硬度实验中的位错生成

Analysis of Nucleation of Dislocation in Nanoindentation by Variational Boundary Integral Method
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摘要 利用边界积分方法及基于Peierls-Nabarro模型的位错理论,分析了理想纳米触头下位错的生成, 得到了滑移原子层上相对滑移量、位错产生的临界载荷以及激发位错所需的激发能。导出了位错产生临 界载荷的近似解析式。用于验证数值分析结果的有效性。该方法在连续力学的计算中引入了包含原子信 息的层间势能函数,为分析多尺度的力学问题提供了有效的方法。 Dislocation nucleation beneath the nanoindenter is analyzed based on the Peierls-Nabarro dislocation model. The variational boundary element method is employed to obtain the discontinuous displacement profiles on the slip planes. The criterion condition for dislocation nucleation and the activation energies required for activating dislocation from their stable to unstable saddle point configurations are determined by numerical calculation. An analytical method is also demonstrated to determine the critical load corresponding to the dislocation nucleation,which is used to verify the effectiveness of the numerical analysis. This proposed method introduces atomic scale features into the simulation of a continuum approach, which provides a powerful tool to analyze the multi-scale structure.
作者 张传立
出处 《长江大学学报(自然科学版)》 CAS 2004年第2期3-6,共4页 Journal of Yangtze University(Natural Science Edition)
关键词 纳米材料 硬度实验 位错理论 边界积分方法 Peierls-Nabarro模型 nanoindentation dislocation nucleation activation energy critical load
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参考文献10

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