S-R decomposition based numerical manifold method
文献类型：期刊论文
| 作者 | Fan, Huo1,2,3,4 ; Zheng, Hong5; He, Siming1,2,3
|
| 刊名 | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
 |
| 出版日期 | 2016-06-01 |
| 卷号 | 304页码:452-478 |
| 关键词 | Strain-rotation decomposition Updated co-moving coordinate Numerical manifold method Large deformation analysis Dynamic formulation |
| ISSN号 | 0045-7825 |
| 通讯作者 | Zheng, Hong |
| 英文摘要 | The numerical manifold method (NMM) surmounting the mesh dependence has successfully solved very complicated problems involving small deformation and large movement, but had few applications to large deformation and large rotation problems because the false volume expansion and other issues exist. In this study it is shown that the false volume expansion in NMM can be excellently resolved by using the S-R (strain-rotation) decomposition theorem which can precisely reflect complex physical behaviors occurring in the process of large rotation and large deformation. The numerical methods based on the S-R decomposition theorem have been limited to the static analysis of large deformations. To remove this limitation, a new formulation taking into account dynamical features is proposed based on the weak form of momentum conservation law. Under the framework of NMM, the generalized-a method is employed to discretize the temporal variables. The updates of variables are described using the updated co-moving coordinate system. Thus, a new method named S-R-D-based NMM is established. The new formulation can be implemented in any other partition of unity based methods as well, so as to improve the performances of such methods in the analysis of dynamic large deformations. (C) 2016 Elsevier B.V. All rights reserved. |
| WOS标题词 | Science & Technology ; Technology ; Physical Sciences |
| 类目[WOS] | Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics |
| 研究领域[WOS] | Engineering ; Mathematics ; Mechanics |
| 关键词[WOS] | FINITE-ELEMENT-METHOD ; LAGRANGIAN-EULERIAN FORMULATION ; LARGE-DEFORMATION ANALYSIS ; ARBITRARY EVOLVING CRACKS ; KERNEL PARTICLE METHODS ; LATTICE SPRING MODEL ; FREE GALERKIN METHOD ; SOLID MECHANICS ; WEAK DISCONTINUITIES ; MESHFREE METHOD |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000374506600019 |
| 源URL | [http://ir.imde.ac.cn/handle/131551/17389]  |
| 专题 | 成都山地灾害与环境研究所_山地灾害与地表过程重点实验室 |
| 作者单位 | 1.Chinese Acad Sci, Key Lab Mt Hazards & Surface Proc, Chengdu 610041, Peoples R China 2.Chinese Acad Sci, Inst Mt Hazards & Environm, Chengdu 610041, Peoples R China 3.Chinese Acad Sci, Ctr Excellence Tibetan Plateau Earth Sci, Beijing 100101, Peoples R China 4.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 5.Beijing Univ Technol, Minist Educ, Key Lab Urban Secur & Disaster Engn, Beijing 100124, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fan, Huo,Zheng, Hong,He, Siming. S-R decomposition based numerical manifold method[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2016,304:452-478. |
| APA | Fan, Huo,Zheng, Hong,&He, Siming.(2016).S-R decomposition based numerical manifold method.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,304,452-478. |
| MLA | Fan, Huo,et al."S-R decomposition based numerical manifold method".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 304(2016):452-478. |
入库方式： OAI收割
来源：成都山地灾害与环境研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。