| 二维裂纹传播问题的数值模拟 |
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| 引用本文： | 刘强,黄忠亿. 二维裂纹传播问题的数值模拟[J]. 清华大学学报(自然科学版), 2006, 46(9): 1604-1607 |
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| 作者姓名： | 刘强 黄忠亿 |
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| 作者单位： | 清华大学,数学科学系,北京,100084;清华大学,数学科学系,北京,100084 |
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| 基金项目： | 国家自然科学基金;教育部留学回国人员科研启动基金;国家重点基础研究发展计划(973计划) |
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| 摘 要： | 用数值方法研究了二维裂纹传播问题。经典的连续模型对裂纹传播描述不够精确,而原子模型可以弥补这个缺点,但是完全使用原子模型计算量太大。在裂纹附近使用原子模型,而在远离裂纹的地方使用连续模型,在交界面上,以吸收高频波的条件作为出发点,建立匹配条件求解。这种匹配方法把计算复杂度从O(N2)降低到O(N),而得到的数值解与完全用原子模型得到的解吻合得很好。
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| 关 键 词： | 原子-连续模型 裂纹传播 匹配条件 |
| 文章编号： | 1000-0054(2006)09-1604-04 |
| 修稿时间： | 2005-08-12 |
Two-dimensional numerical simulation of crack propagation |
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| LIU Qiang,HUANG Zhongyi. Two-dimensional numerical simulation of crack propagation[J]. Journal of Tsinghua University(Science and Technology), 2006, 46(9): 1604-1607 |
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| Authors: | LIU Qiang HUANG Zhongyi |
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| Abstract: | This paper studies two-dimentinal crack propagation. Continuum models become inaccurate when describing micro scale crack propagation. Atomistic models, which are more accurate near the crack tip, were combined with a continuum model far from the tip to reduce the computations. A matching condition (such that the high-frequency waves are absorbed) was used at the interface to get an approximate solution. The method reduces the computational complexity from O(N~2) to O(N). The numerical results agree very well with results from the full atomistic model. |
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| Keywords: | atomistic-continuum model crack propagation matching condition |
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