Efficient coarse graining in multiscale modeling of fracture

被引：198

作者：

Budarapu, Pattabhi R. ^{[1
]}

Gracie, Robert ^{[2
]}

Yang, Shih-Wei ^{[1
,4
]}

Zhuang, Xiaoying ^{[3
]}

Rabczuk, Timon ^{[1
,5
]}

机构：

[1] Bauhaus Univ Weimar, Inst Struct Mech, D-99423 Weimar, Germany

[2] Univ Waterloo, Dept Civil & Environm Engn, Waterloo, ON N2L 3G1, Canada

[3] Tongji Univ, Dept Geotech Engn, Shanghai 200092, Peoples R China

[4] Natl Cheng Kung Univ, Dept Civil Engn, Tainan 70101, Taiwan

[5] Korea Univ, Sch Civil Environm & Architectural Engn, Seoul 136701, South Korea

来源：

THEORETICAL AND APPLIED FRACTURE MECHANICS | 2014年 / 69卷

关键词：

Coarse graining; MD simulation; Multiscale method; Fracture; Atomistic model; FINITE-ELEMENT-METHOD; 3-DIMENSIONAL CRACK INITIATION; PHANTOM-NODE METHOD; MESHFREE METHOD; BRIDGING SCALE; PARTICLE METHODS; HELMHOLTZ-EQUATION; MESHLESS METHODS; DYNAMIC CRACK; SHEAR BANDS;

D O I：

10.1016/j.tafmec.2013.12.004

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

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.

引用

页码：126 / 143

页数：18

共 90 条

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