A decomposition technique of generalized degrees of freedom for mixedmode crack problems
文献类型：期刊论文
| 作者 | Fan, Huo2,3,4,5; Zheng, Hong1; Li, Chunguang6; He, Siming2,3,4 |
| 刊名 | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
 |
| 出版日期 | 2017 |
| 卷号 | 112期号:7页码:803-831 |
| 关键词 | numerical manifold method virtual crack extension energy release rate decomposition of generalized degrees of freedom mathematical cover refinement |
| ISSN号 | 0029-5981 |
| DOI | 10.1002/nme.5533 |
| 英文摘要 | The numerical manifold method (NMM) builds up a unified framework that is used to describe continuous and discontinuous problems; it is an attractive method for simulating a cracking phenomenon. Taking into account the differences between the generalized degrees of freedom of the physical patch and nodal displacement of the element in the NMM, a decomposition technique of generalized degrees of freedom is deduced for mixed mode crack problems. An analytic expression of the energy release rate, which is caused by a virtual crack extension technique, is proposed. The necessity of using a symmetric mesh is demonstrated in detail by analysing an additional error that had previously been overlooked. Because of this necessity, the local mathematical cover refinement is further applied. Finally, four comparison tests are given to illustrate the validity and practicality of the proposed method. The aforementioned aspects are all implemented in the high-order NMM, so this study can be regarded as the development of the virtual crack extension technique and can also be seen as a prelude to an h-version high-order NMM. Copyright (c) 2017 John Wiley & Sons, Ltd. |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000413159300008 |
| 出版者 | WILEY |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/4167]  |
| 专题 | 岩土力学所知识全产出_期刊论文 国家重点实验室知识产出_期刊论文 |
| 作者单位 | 1.Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ ; 2.Chinese Acad Sci, Key Lab Mt Hazards & Surface Proc ; 3.Chinese Acad Sci, Inst Mt Hazards & Environm ; 4.Chinese Acad Sci, Ctr Excellence Tibetan Plateau Earth Sci 5.Univ Chinese Acad Sci ; 6.Chinese Acad Sci, State Key Lab Geomech & Geotech Engn |
| 推荐引用方式 GB/T 7714 | Fan, Huo,Zheng, Hong,Li, Chunguang,et al. A decomposition technique of generalized degrees of freedom for mixedmode crack problems[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2017,112(7):803-831. |
| APA | Fan, Huo,Zheng, Hong,Li, Chunguang,&He, Siming.(2017).A decomposition technique of generalized degrees of freedom for mixedmode crack problems.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,112(7),803-831. |
| MLA | Fan, Huo,et al."A decomposition technique of generalized degrees of freedom for mixedmode crack problems".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 112.7(2017):803-831. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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