THEORETICAL STUDY OF THREE-DIMENSIONAL NUMERICAL MANIFOLD METHOD

被引：0
|
作者：
骆少明
张湘伟
吕文阁
姜东茹
机构：
[1] Guangzhou 510090
[2] Guangdong University of Technology
[3] Faculty of Mechanical & Electronical Engineering
[4] P.R.China
来源：
Applied Mathematics and Mechanics(English Edition) | 2005年 / 09期
关键词：
numerical manifold method; three-dimensional analysis; finite cover;
D O I：
暂无
中图分类号：
O241 [数值分析];
学科分类号：
070102 ;
摘要：
The three-dimensional numerical manifold method(NMM) is studied on the basis of two-dimensional numerical manifold method. The three-dimensional cover displacement function is studied. The mechanical analysis and Hammer integral method of three-dimensional numerical manifold method are put forward. The stiffness matrix of three-dimensional manifold element is derived and the dissection rules are given. The theoretical system and the numerical realizing method of three-dimensional numerical manifold method are systematically studied. As an example, the cantilever with load on the end is calculated, and the results show that the precision and efficiency are agreeable.
引用
收藏
页码：1126 / 1131
页数：6
相关论文
共 50 条
  • [1] Theoretical study of three-dimensional numerical manifold method
    Luo, SM
    Zhang, XW
    Lü, WG
    Jiang, DR
    [J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2005, 26 (09) : 1126 - 1131
  • [2] Theoretical study of three-dimensional numerical manifold method
    Luo Shao-ming
    Zhang Xiang-wei
    Lü Wen-ge
    Jiang Dong-ru
    [J]. Applied Mathematics and Mechanics, 2005, 26 (9): : 1126 - 1131
  • [3] Study of three-dimensional high-order numerical manifold method
    Jiang Qing-hui
    Deng Shu-shen
    Zhou Chuangbing
    [J]. ROCK AND SOIL MECHANICS, 2006, 27 (09) : 1471 - 1474
  • [4] Study of three-dimensional crack propagation based on numerical manifold method
    Yang Shi-kou
    Zhang Ji-xun
    Ren Xu-hua
    [J]. ROCK AND SOIL MECHANICS, 2018, 39 : 488 - 494
  • [5] Three-dimensional fracture propagation with numerical manifold method
    Yang, Yongtao
    Tang, Xuhai
    Zheng, Hong
    Liu, Quansheng
    He, Lei
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2016, 72 : 65 - 77
  • [6] Study on algorithm of cover system generation in three-dimensional numerical manifold method
    Yang Shi-kou
    Ren Xu-hua
    Zhang Ji-xun
    Ai Hua-dong
    [J]. ROCK AND SOIL MECHANICS, 2022, 43 : 633 - 640
  • [7] A study on the block-cutting technique of three-dimensional numerical manifold method
    Ke Jin-fu
    Wang Shui-lin
    [J]. ROCK AND SOIL MECHANICS, 2020, 41 (10) : 3473 - 3480
  • [8] Application of three-dimensional numerical manifold method to crack propagation
    Yang Shi-kou
    Zhang Ji-xun
    Ren Xu-hua
    Zhang Dao-fa
    [J]. ROCK AND SOIL MECHANICS, 2016, 37 (10) : 3017 - 3025
  • [9] A three-dimensional numerical manifold method based on tetrahedral meshes
    Jiang, Qinghui
    Zhou, Chuangbing
    Li, Dianqing
    [J]. COMPUTERS & STRUCTURES, 2009, 87 (13-14) : 880 - 889
  • [10] Development of contact algorithm for three-dimensional numerical manifold method
    He, L.
    An, X. M.
    Zhao, Z. Y.
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2014, 97 (06) : 423 - 453
12345