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A novel numerical manifold method with derivative degrees of freedom and without linear dependence

文献类型：期刊论文

作者Fan, Huo1,2,3,4; Zheng, Hong5; He, Siming1,2,3; Jiang, Zhongming6
刊名ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
出版日期2016-03-01
卷号64页码:19-37
关键词Derivative degrees of freedom Continuous star point stress Stress post-processing Initial stress matrix Free expansion
ISSN号0955-7997
通讯作者Siming He
英文摘要A new high-order NMM is described in detail. The derivative degrees of freedom with physical meaning, which have been used in discontinuous deformation analysis (DDA), continue to be employed in the NMM. A new local displacement approximation, whose order is promoted, is suggested for the NMM. The local approximation makes the NMM get rid of the issue of the linear dependence (LD) and makes the NMM possess the substantive characteristic of a continuous stress field at the "star points". An existing stress post-processing technology, which does not lead to a forfeit of the abovementioned essential characteristic, is reinvented to improve the stress accuracy of the displacement-based method. The recurrence formula of the initial stress matrix is also generalized and revised to adapt to the proposed NMM. Moreover, a simplified inhibition approach is presented to deal with the free expansion (FE) problem of manifold element. Several typical examples are given to demonstrate the effectiveness of the proposed NMM. (C) 2015 Elsevier Ltd. All rights reserved.
WOS标题词Science & Technology ; Technology ; Physical Sciences
类目[WOS]Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
研究领域[WOS]Engineering ; Mathematics
关键词[WOS]FINITE-ELEMENT-METHOD ; CONTINUOUS NODAL STRESS ; MESHFREE QUAD4 ELEMENT ; ELLIPTIC PROBLEMS ; CRACK-GROWTH ; UNITY METHOD ; PARTITION ; MECHANICS ; STIFFNESS ; COMPUTATIONS
收录类别SCI
语种英语
WOS记录号WOS:000370306000003
源URL[http://ir.imde.ac.cn/handle/131551/13991]  
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.Chinese Acad Sci, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China
6.Changsha Univ Sci & Technol, Sch Hydraul Engn, Changsha 410004, Hunan, Peoples R China
推荐引用方式
GB/T 7714		 Fan, Huo,Zheng, Hong,He, Siming,et al. A novel numerical manifold method with derivative degrees of freedom and without linear dependence[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2016,64:19-37.
APA Fan, Huo,Zheng, Hong,He, Siming,&Jiang, Zhongming.(2016).A novel numerical manifold method with derivative degrees of freedom and without linear dependence.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,64,19-37.
MLA Fan, Huo,et al."A novel numerical manifold method with derivative degrees of freedom and without linear dependence".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 64(2016):19-37.

入库方式： OAI收割

来源：成都山地灾害与环境研究所

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