LARGE DEFORMATION SYMMETRICAL ELASTICITY PROBLEMS SOLVED BY THE VARIATIONAL METHOD

被引:0
|
作者
赵玉祥
顾祥珍
宋熙太
机构
[1] He’nan
[2] Luoyang Institute of Hydraulic Engineering
[3] Luoyang
关键词
dynamics; large deformation; independent function; generalized variational principle;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper,based on the mathematical theory of classical mechanics and Chen‘s theorem,the variational method is used in the study of large deformation symmetrical elasticity problems.The generalized variational principles of potential energy and complementary energy,based on the instantaneous configuration are obtained,and the equivalence between the two principles is proved.Besides,the generalized variational principles of dynamical problems based on the instantaneous configuration are also given.
引用
收藏
页码:713 / 720
页数:8
相关论文
共 50 条
  • [1] Large deformation symmetrical elasticity problems solved by the variational method
    Zhao, Yuxiang
    Gu, Xiangzhen
    Song, Xitai
    Applied Mathematics and Mechanics (English Edition), 1993, 14 (08) : 713 - 720
  • [2] A RATE TYPE METHOD FOR LARGE DEFORMATION PROBLEMS OF NONLINEAR ELASTICITY
    梁非
    张善元
    AppliedMathematicsandMechanics(EnglishEdition), 1994, (02) : 125 - 133
  • [3] GENERALIZED VARIATIONAL PRINCIPLES OF SYMMETRICAL ELASTICITY PROBLEM OF LARGE DEFORMATIONS
    赵玉祥
    顾祥珍
    李欢秋
    AppliedMathematicsandMechanics(EnglishEdition), 1994, (09) : 805 - 813
  • [4] THREE-DIMENSIONAL ELASTICITY PROBLEMS SOLVED BY COMPLEX VARIABLE METHOD
    唐立民
    孙焕纯
    Science China Mathematics, 1963, (11) : 1627 - 1649
  • [5] 3-DIMENSIONAL ELASTICITY PROBLEMS SOLVED BY COMPLEX VARIABLE METHOD
    TANG, LM
    SUN, HC
    SCIENTIA SINICA, 1963, 12 (11): : 1627 - &
  • [6] Stabilization approaches for the hyperelastic immersed boundary method for problems of large -deformation incompressible elasticity
    Vadala-Roth, Ben
    Acharya, Shashank
    Patankar, Neelesh A.
    Rossi, Simone
    Griffith, Boyce E.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 365
  • [7] GEOMETRIC NONLINEAR ELASTO-DYNAMICS PROBLEMS SOLVED BY VARIATIONAL METHOD
    Liu, Zongmin
    Wu, Guohui
    Liang, Lifu
    Song, Haiyan
    PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION - 2010, VOL 8, PTS A AND B, 2012, : 299 - 305
  • [8] Finite particle method for static deformation problems solved using JFNK method
    Chen, Ding
    Huang, Wenxiong
    Lyamin, Andrei
    COMPUTERS AND GEOTECHNICS, 2020, 122
  • [9] Triangulation Method for Approximate Solving of Variational Problems in Nonlinear Elasticity
    Klyachin, Vladimir V.
    Kuzmin, Vladislav V.
    Khizhnyakova, Ekaterina V.
    BULLETIN OF IRKUTSK STATE UNIVERSITY-SERIES MATHEMATICS, 2023, 45 : 54 - 72
  • [10] An updated Lagrangian method with error estimation and adaptive remeshing for very large deformation elasticity problems
    Leger, S.
    Fortin, A.
    Tibirna, C.
    Fortin, M.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2014, 100 (13) : 1006 - 1030