New numerical quadrature of integrand with singularity of 1/r and its application
文献类型：会议论文
| 作者 | Xu, Dongdong1; Zheng, Hong1; Xia, Kaiwen2 |
| 出版日期 | 2014 |
| 会议日期 | JUL 17-19, 2013 |
| 会议地点 | Kunming, PEOPLES R CHINA |
| 关键词 | NMM stress intensity factor Duffy transformation 1/r singularity |
| 卷号 | 444-445 |
| DOI | 10.4028/www.scientific.net/AMM.0.641 |
| 页码 | 641 |
| 英文摘要 | A new quadrature method is proposed for numerical integration of integrands with the singularity of 1/r occurring at the computation of stiffness matrix when a singular physical cover is introduced to the numerical manifold method (NMIVI) for linear fracture problems. The detailed proof is presented, which shows the Jacobian has a factor of r that can be used to eliminate the singularity. Compared with the Duffy transformation, it proves more simple and easier to implement while owning the same precision. A numerical example in elastic fracture by the NMM is presented to illustrate the performance of the proposed method. The result has a good agreement with the reference solution. |
| 会议录 | ADVANCES IN COMPUTATIONAL MODELING AND SIMULATION, PTS 1 AND 2
 |
| 会议录出版者 | TRANS TECH PUBLICATIONS LTD |
| 会议录出版地 | DURNTEN-ZURICH |
| 语种 | 英语 |
| WOS研究方向 | Engineering ; Materials Science ; Mechanics |
| WOS记录号 | WOS:000338974900111 |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/4792]  |
| 专题 | 岩土力学所知识全产出_会议论文 国家重点实验室知识产出_会议论文 |
| 作者单位 | 1.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn; 2.Univ Toronto, Dept Civil Engn |
| 推荐引用方式 GB/T 7714 | Xu, Dongdong,Zheng, Hong,Xia, Kaiwen. New numerical quadrature of integrand with singularity of 1/r and its application[C]. 见:. Kunming, PEOPLES R CHINA. JUL 17-19, 2013. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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