A high-order numerical manifold method with continuous stress/strain field
文献类型：期刊论文
| 作者 | Yang, Yongtao2; Sun, Guanhua2; Zheng, Hong1 |
| 刊名 | APPLIED MATHEMATICAL MODELLING
 |
| 出版日期 | 2020-02-01 |
| 卷号 | 78页码:576-600 |
| 关键词 | Numerical manifold method (NMM) High-order NMM (HONMM) Stress intensity factor Continuous stress/strain field |
| ISSN号 | 0307-904X |
| DOI | 10.1016/j.apm.2019.09.034 |
| 英文摘要 | Recent attempts to solve solid mechanical problems using the numerical manifold method (NMM) are very fruitful. In the present work, a high-order numerical manifold method (HONMM) which is able to obtain continuous stress/strain field is proposed. By employing the same discretized model as the traditional NMM (TNMM), the proposed HONMM can yield much better accuracy without increasing the number of degrees of freedom (DOFs), and obtain continuous stress/strain field without recourse any stress smoothing operation in the post-processing stage. In addition, the "linear dependence" (LD) issue does not exist in the HONMM, and traditional equation solvers can be employed to solve the simultaneous algebraic equations. A number of numerical examples including four linear elastic continuous problems and five cracked problems are solved with the proposed method. The results show that the proposed HONMM performs much better than the TNMM. (C) 2019 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[51609240] |
| WOS研究方向 | Engineering ; Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000502889100031 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/23218]  |
| 专题 | 中科院武汉岩土力学所 |
| 通讯作者 | Yang, Yongtao |
| 作者单位 | 1.Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China 2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Hubei, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, Yongtao,Sun, Guanhua,Zheng, Hong. A high-order numerical manifold method with continuous stress/strain field[J]. APPLIED MATHEMATICAL MODELLING,2020,78:576-600. |
| APA | Yang, Yongtao,Sun, Guanhua,&Zheng, Hong.(2020).A high-order numerical manifold method with continuous stress/strain field.APPLIED MATHEMATICAL MODELLING,78,576-600. |
| MLA | Yang, Yongtao,et al."A high-order numerical manifold method with continuous stress/strain field".APPLIED MATHEMATICAL MODELLING 78(2020):576-600. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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