Numerical manifold method for dynamic consolidation of saturated porous media with three-field formulation
文献类型：期刊论文
| 作者 | Wu, Wenan3; Zheng, Hong1,2; Yang, Yongtao3 |
| 刊名 | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
 |
| 出版日期 | 2019-07-25 |
| 页码 | 35 |
| 关键词 | dynamic consolidation inf-sup condition mass lumping numerical manifold method |
| ISSN号 | 0029-5981 |
| DOI | 10.1002/nme.6157 |
| 英文摘要 | In terms of the three-field formulation of Biot's dynamic consolidation theory, the numerical manifold method (NMM) is developed, where the same approximation to skeleton displacement (u) and fluid velocity (w) is employed and able to reflect incompressible as well as compressible deformation, but the approximation to pore pressure (p) takes two different types, respectively. The first type of approximation to p is continuous piecewise linear interpolation and the second type assumes that p is a constant within each element. It is verified that using the second type of approximation to p naturally satisfies the inf-sup condition even in the limits of rigid skeleton and very low permeability, avoiding the locking problem accordingly. Energy components done by various forces are calculated to verify the accuracy and stability of the time integration scheme. A mass lumping technique in the NMM framework is employed to effectively reduce the unphysical oscillations and increase computational efficiency, which is another unique advantage of NMM over other numerical methods. A number of numerical tests are conducted to demonstrate the robustness and versatility of the proposed mixed NMM models. |
| 资助项目 | National Natural Science Foundation of China[11172313] ; National Natural Science Foundation of China[51538001] |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000479565100001 |
| 出版者 | WILEY |
| 源URL | [http://202.127.146.157/handle/2RYDP1HH/8803]  |
| 专题 | 中国科学院武汉植物园 |
| 通讯作者 | Zheng, Hong |
| 作者单位 | 1.Beijing Univ Technol, Coll Architecture & Civil Engn, Beijing, Peoples R China 2.Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing, Peoples R China 3.Chinese Acad Sci, State Key Lab Geomech & Geotech Engn, Inst Rock & Soil Mech, Wuhan, Hubei, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wu, Wenan,Zheng, Hong,Yang, Yongtao. Numerical manifold method for dynamic consolidation of saturated porous media with three-field formulation[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2019:35. |
| APA | Wu, Wenan,Zheng, Hong,&Yang, Yongtao.(2019).Numerical manifold method for dynamic consolidation of saturated porous media with three-field formulation.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,35. |
| MLA | Wu, Wenan,et al."Numerical manifold method for dynamic consolidation of saturated porous media with three-field formulation".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2019):35. |
入库方式： OAI收割
来源：武汉植物园
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