Manifold method with complete first order displacement function on physical cover

被引：0
|
作者：
Wang, SL [1 ]
Ge, XR [1 ]
Zhang, G [1 ]
机构：
[1] Chinese Acad Sci, Inst Rock & Soil Mech, Wuhan 430071, Peoples R China
来源：
ICADD-3: THIRD INTERNATIONAL CONFERENCE ON ANALYSIS OF DISCONTINUOUS DEFORMATION - FROM THEORY TO PRACTICE, PROCEEDINGS | 1999年
关键词：
D O I：
暂无
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
Complete first order displacement function is used on physical covers of manifold element. The analyzing formulas for numerical implementation are presented for the first time in this paper. A continuous stress distribution is obtained through projection techniques proposed by Zienkiewicz et al so that results can be compared with those published. Two examples are investigated and the numerical results show that a high accuracy can be achieved by the adoption of the function on physical covers.
引用
收藏
页码：193 / 201
页数：9
相关论文
共 50 条
  • [31] On the complete integrability of gradient systems on manifold of the beta family of the first kind
    Assandje, Prosper Rosaire Mama
    Dongho, Joseph
    Bouetou, Thomas Bouetou
    INFORMATION GEOMETRY, 2024, 7 (01) : 167 - 191
  • [32] Reciprocal Function Method for Cauchy Problems with First-Order Poles
    Belov, A. A.
    Kalitkin, N. N.
    DOKLADY MATHEMATICS, 2020, 101 (02) : 165 - 168
  • [33] The Cauchy problem for a first-order quasilinear equation on a manifold
    Panov, EY
    DIFFERENTIAL EQUATIONS, 1997, 33 (02) : 257 - 266
  • [34] Reciprocal Function Method for Cauchy Problems with First-Order Poles
    A. A. Belov
    N. N. Kalitkin
    Doklady Mathematics, 2020, 101 : 165 - 168
  • [35] First order method
    不详
    NUMERICAL METHODS FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS, 1999, 1707 : 27 - 53
  • [36] Clearing function in the context of the invariant manifold method
    Mustafin, Almaz T.
    Kantarbayeva, Aliya K.
    VESTNIK SANKT-PETERBURGSKOGO UNIVERSITETA SERIYA 10 PRIKLADNAYA MATEMATIKA INFORMATIKA PROTSESSY UPRAVLENIYA, 2023, 19 (02): : 185 - 198
  • [37] Fundamentals and applications of high-order manifold method
    Tian, R.
    Luan, M.-T.
    Yang, Q.
    Ugai, K.
    Gong Cheng Li Xue/Engineering Mechanics, 2001, 18 (02): : 21 - 26
  • [38] Study on techniques of automatically forming of cover system of numerical manifold method
    Cao, W.G.
    Su, B.Y.
    Yantu Gongcheng Xuebao/Chinese Journal of Geotechnical Engineering, 2001, 23 (02):
  • [39] Slope stability analysis based on independent cover manifold method and vector sum method
    Liu G.
    Cai Y.
    1600, Academia Sinica (36): : 1434 - 1442
  • [40] Study on the applications of different cover methods in numerical manifold method (NMM)
    Ning, Youjun
    Lin, Xuanhao
    Chen, Dayong
    Chen, Haofeng
    Zhang, Mangong
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2025, 174
12345