A series of Duffy-distance transformation for integrating 2D and 3D vertex singularities
文献类型：期刊论文
| 作者 | Lv, Jia-He; Jiao, Yu-Yong; Feng, Xia-Ting ; Wriggers, Peter; Zhuang, Xiao-Ying; Rabczuk, Timon
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| 刊名 | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
 |
| 出版日期 | 2019 |
| 卷号 | 118期号:1页码:38-60 |
| 关键词 | distance transformation Duffy transformation near singularity numerical quadrature vertex singularity |
| ISSN号 | 0029-5981 |
| DOI | 10.1002/nme.6016 |
| 英文摘要 | With the development of the generalized/extended finite element method for fracture problems, the accurate and efficient integration of singular enrichment functions has been an open issue, especially for the 3D case. In this paper, we reveal the near singularities caused by distorted integral patch/cell shape numerically and theoretically during the implementation of generalized Duffy transformation, and the Duffy-distance transformation is developed step by step for the 2D and 3D vertex singularities. Meanwhile, the 3D conformal preconditioning strategy is constructed to eliminate the near singularity caused by element shape distortion during the iso-parametric transformation, which enables the Duffy-distance transformation to be applicable for arbitrary shaped tetrahedral elements. As a result, the near singularities can be fully or partly canceled depending on the order of singularity. The implementation of the proposed scheme in existing codes is straightforward. Numerous numerical examples for arbitrary shaped triangles and tetrahedrons are presented to demonstrate its robustness and efficiency, along with comparisons to the generalized Duffy transformation. |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000460346700003 |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/14999]  |
| 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.China Univ Geosci, Fac Engn, Wuhan 430074, Hubei, Peoples R China; 2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan, Hubei, Peoples R China; 3.Northeastern Univ, Sch Resources & Civil Engn, Minist Educ Safe Min Deep Met Mines, Key Lab, Shenyang, Liaoning, Peoples R China; 4.Leibniz Univ Hannover, Inst Continuum Mech, Hannover, Germany |
| 推荐引用方式 GB/T 7714 | Lv, Jia-He,Jiao, Yu-Yong,Feng, Xia-Ting,et al. A series of Duffy-distance transformation for integrating 2D and 3D vertex singularities[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2019,118(1):38-60. |
| APA | Lv, Jia-He,Jiao, Yu-Yong,Feng, Xia-Ting,Wriggers, Peter,Zhuang, Xiao-Ying,&Rabczuk, Timon.(2019).A series of Duffy-distance transformation for integrating 2D and 3D vertex singularities.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,118(1),38-60. |
| MLA | Lv, Jia-He,et al."A series of Duffy-distance transformation for integrating 2D and 3D vertex singularities".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 118.1(2019):38-60. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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