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A high-order numerical manifold method with nine-node triangular meshes

文献类型：期刊论文

作者Fan, Huo1,2,3,4; He, Siming1,2,3; Jiang, Zhongming5
刊名ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
出版日期2015-12-01
卷号61页码:172-182
关键词High-order NMM Non-linear dependence Nine-node triangle Initial stress matrix Large deformation
ISSN号0955-7997
通讯作者He, SM
英文摘要The numerical manifold method (NMM) is a unified framework that is used to describe continuous and discontinuous problems. The NMM is derived based on the finite cover approximation theory and gains its name after the mathematical notion of manifold. It is also a method based on the partition of unity (PU) and it introduces two cover systems: the mathematical cover (MC) and the physical cover (PC). There are two approaches for constructing high-order approximations. The first approach involves a non-constant PU function and non-constant local approximations. This results in the linear dependence (LD) problem and leads to the singularity in a global matrix. The second approach involves a higher PU function and constant local approximations. The increase in the order of approximations should go along with the increase in star but the LD problem can be avoided completely in theory. In this paper, a new high-order NMM with nine-node triangular meshes is proposed. The upgrade from first-order NMM to high-order NMM is illustrated in detail. Moreover, the initial stress matrix is analyzed in detail. The effectiveness and accuracy of the proposed high-order NMM are validated using several typical examples. The proposed high-order NMM supplements the existing family of non-LD high- and low-order NMM under MC with triangular meshes. (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]CRACK-PROPAGATION ; PARTITION ; PREDICTION ; SIMULATION ; FLOW
收录类别SCI
语种英语
WOS记录号WOS:000362308700017
源URL[http://ir.imde.ac.cn/handle/131551/11030]  
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.Changsha Univ Sci & Technol, Sch Hydraul Engn, Changsha 410004, Hunan, Peoples R China
推荐引用方式
GB/T 7714		 Fan, Huo,He, Siming,Jiang, Zhongming. A high-order numerical manifold method with nine-node triangular meshes[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2015,61:172-182.
APA Fan, Huo,He, Siming,&Jiang, Zhongming.(2015).A high-order numerical manifold method with nine-node triangular meshes.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,61,172-182.
MLA Fan, Huo,et al."A high-order numerical manifold method with nine-node triangular meshes".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 61(2015):172-182.

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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