Efficient coarse graining in multiscale modeling of fracture
Efficient coarse graining in multiscale modeling of fracture
复制标题
断裂多尺度建模中的高效粗粒化
DOI：
10.1016/j.tafmec.2013.12.004
复制
发表时间：
2014-02-01
影响因子：
5.3
通讯作者：
Rabczuk, Timon
中科院分区：
文献类型：
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作者：
Budarapu, Pattabhi R.;Gracie, Robert;Rabczuk, Timon
我们提出了一种粗粒度技术，减少一个给定的原子模型到一个等效的粗粒度连续模型。所开发的技术是专门为涉及复杂的裂纹图案在2D和3D，包括裂纹分支和合并的问题。利用中心对称参数将裂纹表面的原子与非裂纹表面的原子分开。一个矩形网格叠加在原子模型上。每个单元中裂纹表面上的原子被用来估计该特定单元的等效粗尺度裂纹表面。粗模型中的裂纹路径通过连接每个单元中的近似裂纹路径来产生。该方法为研究多尺度断裂方法中的裂纹扩展问题奠定了良好的基础。(C)2013爱思唯尔有限公司保留所有权利。
We propose a coarse-graining technique to reduce a given atomistic model into an equivalent coarse grained continuum model. The developed technique is tailored for problems involving complex crack patterns in 2D and 3D including crack branching and coalescence. Atoms on the crack surface are separated from the atoms not on the crack surface by employing the centro symmetry parameter. A rectangular grid is superimposed on the atomistic model. Atoms on the crack surface in each cell are used to estimate the equivalent coarse-scale crack surface of that particular cell. The crack path in the coarse model is produced by joining the approximated crack paths in each cell. The developed technique serves as a sound basis to study the crack propagation in multiscale methods for fracture. (C) 2013 Elsevier Ltd. All rights reserved.