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S-R decomposition based numerical manifold method
Fan, Huo1,2,3,4; Zheng, Hong5; He, Siming1,2,3
Corresponding AuthorZheng, Hong
2016
Source PublicationCOMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN0045-7825
EISSN1879-2138
Volume304Pages:452-478
SubtypeArticle
AbstractThe 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.
KeywordStrain-rotation Decomposition Updated Co-moving Coordinate Numerical Manifold Method Large Deformation Analysis Dynamic Formulation
WOS HeadingsScience & Technology ; Technology ; Physical Sciences
DOI10.1016/j.cma.2016.02.033
WOS Subject ExtendedEngineering ; Mathematics ; Mechanics
Indexed BySCI
WOS KeywordFINITE-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
Language英语
Quartile2区
TOP
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS IDWOS:000374506600019
Funding OrganizationNational Basic Research Program of China(2011CB013505 ; National Natural Science Foundation of China(11572009 ; STS project of Chinese Academy of Sciences(KFJ-EW-STS-094) ; 2014CB047100) ; 41272346)
Citation statistics
Cited Times:21[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.imde.ac.cn/handle/131551/17389
Collection山地灾害与地表过程重点实验室
Affiliation1.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
First Author Affilication中国科学院水利部成都山地灾害与环境研究所
Recommended Citation
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.
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