| Modeling of dynamic crack branching by enhanced extended finite element method | |
Xu DD; Liu ZL; Liu XM(刘小明) ; Zeng QL; Zhuang Z; Liu, ZL (reprint author), Tsinghua Univ, Sch Aerosp, Dept Engn Mech, Appl Mech Lab, Beijing 100084, Peoples R China.
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| Source Publication | Computational Mechanics (IF:3.159[JCR-2018],3.326[5-Year]) |
| 2014-08 | |
| Volume | 54Issue:2Pages:489-502 |
| ISSN | 0178-7675 |
| Abstract | The conventional extended finite element method (XFEM) is enhanced in this paper to simulate dynamic crack branching, which is a top challenge issue in fracture mechanics and finite element method. XFEM uses the enriched shape functions with special characteristics to represent the discontinuity in computation field. In order to describe branched cracks, it is necessary to set up the additional enrichment. Here we have developed two kinds of branched elements, namely the "element crossed by two separated cracks" and "element embedded by a junction". Another series of enriched degrees of freedom are introduced to seize the additional discontinuity in the elements. A shifted enrichment scheme is used to avoid the treatment of blending element. Correspondingly a new mass lumping method is developed for the branched elements based on the kinetic conservation. The derivation of the mass matrix of a four-node quadrilateral element which contains two strong discontinuities is specially presented. Then by choosing crack speed as the branching criterion, the branching process of a single mode I crack is simulated. The results including the branching angle and propagation routes are compared with that obtained by the conventionally used element deletion method. |
| Keyword | Xfem Dynamic Fracture Mechanics Mass Lumping Crack Branching |
| Subject Area | Mathematics ; Mechanics |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000339108400018 |
| Funding Organization | This work is supported by the National Natural Science Foundation of China under Grant No. 11372157 and The Special Research Grant for Doctor Discipline by Ministry of Education of China under Grant No. 20120002110075 |
| Department | LNM新型材料及结构的多尺度力学 |
| Classification | 一类 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/49015 |
| Collection | 非线性力学国家重点实验室 |
| Corresponding Author | Liu, ZL (reprint author), Tsinghua Univ, Sch Aerosp, Dept Engn Mech, Appl Mech Lab, Beijing 100084, Peoples R China. |
| Recommended Citation GB/T 7714 | Xu DD,Liu ZL,Liu XM,et al. Modeling of dynamic crack branching by enhanced extended finite element method[J]. Computational Mechanics,2014,54,2,:489-502. |
| APA | Xu DD,Liu ZL,Liu XM,Zeng QL,Zhuang Z,&Liu, ZL .(2014).Modeling of dynamic crack branching by enhanced extended finite element method.Computational Mechanics,54(2),489-502. |
| MLA | Xu DD,et al."Modeling of dynamic crack branching by enhanced extended finite element method".Computational Mechanics 54.2(2014):489-502. |
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