• CN:11-2187/TH
  • ISSN:0577-6686

›› 2007, Vol. 43 ›› Issue (8): 101-108.

• 论文 • 上一篇    下一篇

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准连续介质方法及其应用

倪玉山;王华滔   

  1. 复旦大学力学与工程科学系
  • 发布日期:2007-08-15

QUASICONTINUUM METHOD AND ITS APPLICATIONS

NI Yushan;WANG Huatao   

  1. Department of Mechanics & Engineering Science, Fudan University
  • Published:2007-08-15

摘要: 介绍原子和连续介质耦合的多尺度模拟中的一个重要方法——准连续介质方法。阐述与该方法相关的原子模拟方法和有限元方法,针对在原子区 / 连续介质区耦合时出现的匹配问题,讨论在非局部原子区和局部的连续区过渡中交接面的处理,即在两种区域采用不同的权重计算系统的能量。对于模拟过程中材料微观变形不断变化的情况,结合自适应网格技术,确保在需要时保持原子区的全部细节,而在连续介质区则相对粗化。最后,介绍准连续介质方法在晶界变形与断裂、纳米压痕和位错相互作用等方面的一些应用和发展,并对该方法面临的问题和发展趋势做了展望。

关键词: 多尺度, 非局部区, 局部区, 耦合, 准连续介质方法

Abstract: One of the significant methods of multi-scale computer simulation named quasicontinuum method which is a mixed atomistic-continuum formulation is reviewed. The com-putational modeling related to atomistic/continuum coupling is introduced on the energetics of atomistic and continuum con-cepts and finite element methods. The coupled method with the disposal of the interface between the non-local field and the local field is discussed, which is to adopt different weight fac-tors to calculate the energy of the system in the two fields. Automatic mesh adaption is combined to ensure that full atom-istic detail is retained in regions of the problem where it is re-quired while continuum assumptions reduce the computational demand elsewhere. Recent advances and some applications of grain boundary deformation and fracture, nano-indentation and the interaction of dislocations are noted, and the further study and trends of this field are outlined.

Key words: Coupling, Local field, Multiscale, Non-local field, Quasicontinuum method

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