A unified implicit vectorized finite element method for solving the dynamic, quasi-static consolidation and static problems of saturated soil
文献类型：期刊论文
| 作者 | Zhao, Teng1,2; Ye, Jianhong1,2,3 |
| 刊名 | COMPUTERS AND GEOTECHNICS
 |
| 出版日期 | 2025-02-01 |
| 卷号 | 178页码:22 |
| 关键词 | Biot's equation p formulation Saturated soil Vectorized finite element method Implicit algorithm FssiCAS |
| ISSN号 | 0266-352X |
| DOI | 10.1016/j.compgeo.2024.106939 |
| 英文摘要 | Mechanical responses of saturated soil solved by the finite element method is a critical focus in computational geomechanics. Operations of large Sparse Matrix Vector (SpMV) cause significant memory consumption, which is a key factor limiting the large-scale finite element computation. Therefore, the development of a finite element algorithm that minimize or eliminate SpMV operations is valuable. In this study, we propose a unified implicit vectorized finite element method (VFEM) to solve the u-p formulation of Biot's equation under dynamic consolidation, quasi-static consolidation, and static conditions. This method utilizes a vectorized condensed matrix to replace the traditional finite element Jacobian matrix, thus avoiding the traditional finite element SpMV operations through the simple operation of vector dot division. Unlike the explicit dynamic method, the proposed method introduces numerical iterations within the same timestep to ensure the fully implicit convergence accuracy, and can achieve a unified solution across different time orders. The proposed VFEM algorithm was successfully implemented within the framework of FssiCAS software. Verification was conducted for the newly developed FssiCAS-VFEM module adopting several numerical cases involving the elastic/elastoplastic mechanical behaviors of saturated soil under different time orders. Tests on the computational performance of FssiCAS-VFEM module adopting a large-scale case was also done. It is demonstrated that proposed the VFEM can not only reduce the memory requirement remarkably but also ensure good reliability of numerical results. |
| 资助项目 | National Natural Science Foundation of China[42307234] ; National Natural Science Foundation of China[51879257] ; National Key Research and Development Program of China[2022YFC3102402] |
| WOS研究方向 | Computer Science ; Engineering ; Geology |
| 语种 | 英语 |
| WOS记录号 | WOS:001366791600001 |
| 出版者 | ELSEVIER SCI LTD |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/43319]  |
| 专题 | 中科院武汉岩土力学所 |
| 通讯作者 | Ye, Jianhong |
| 作者单位 | 1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China 3.Southern Marine Sci & Engn Guangdong Lab, Guangzhou 511458, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, Teng,Ye, Jianhong. A unified implicit vectorized finite element method for solving the dynamic, quasi-static consolidation and static problems of saturated soil[J]. COMPUTERS AND GEOTECHNICS,2025,178:22. |
| APA | Zhao, Teng,&Ye, Jianhong.(2025).A unified implicit vectorized finite element method for solving the dynamic, quasi-static consolidation and static problems of saturated soil.COMPUTERS AND GEOTECHNICS,178,22. |
| MLA | Zhao, Teng,et al."A unified implicit vectorized finite element method for solving the dynamic, quasi-static consolidation and static problems of saturated soil".COMPUTERS AND GEOTECHNICS 178(2025):22. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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