A version of the finite element method for frictional contact problems

被引:3
|
作者
Morev, P. G. [1 ]
机构
[1] Orel State Tech Univ, Oryol 302020, Russia
关键词
Stress Intensity; Lagrange Multiplier; Penalty Function; Contact Problem; Tool Surface;
D O I
10.3103/S0025654407040164
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We propose a method for solving frictional contact problems which is based on including the generalized coordinates of absolutely rigid bodies in the degrees of freedom of the system under study and on varying the functional of the variational problem with respect to these coordinates. As a result, one can include the generalized coordinates or the energy-conjugate generalized forces directly in the right-hand side of the resolving system of equations, which permits easily taking into account any laws of motion or loading of absolutely rigid bodies.
引用
收藏
页码:640 / 651
页数:12
相关论文
共 50 条
  • [1] A version of the finite element method for frictional contact problems
    P. G. Morev
    [J]. Mechanics of Solids, 2007, 42 : 640 - 651
  • [2] An adaptive finite element method for large deformation frictional contact problems
    Scherf, O
    Wriggers, P
    [J]. IUTAM SYMPOSIUM ON DISCRETIZATION METHODS IN STRUCTURAL MECHANICS, 1999, 68 : 35 - 42
  • [3] Application of hybrid-Trefftz finite element method to frictional contact problems
    Qin, Qing-Hua
    Wang, Ke-Yong
    [J]. PROCEEDINGS OF LSAME.08: LEUVEN SYMPOSIUM ON APPLIED MECHANICS IN ENGINEERING, PTS 1 AND 2, 2008, : 65 - 87
  • [4] A mathematical programming approach for frictional contact problems with the extended finite element method
    Anxing Zheng
    Xianqi Luo
    [J]. Archive of Applied Mechanics, 2016, 86 : 599 - 616
  • [5] A mathematical programming approach for frictional contact problems with the extended finite element method
    Zheng, Anxing
    Luo, Xianqi
    [J]. ARCHIVE OF APPLIED MECHANICS, 2016, 86 (04) : 599 - 616
  • [6] On smooth finite element discretizations for frictional contact problems
    Wriggers, P
    Krstulovic-Opara, L
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2000, 80 : S77 - S80
  • [7] FINITE-ELEMENT ANALYSIS OF FRICTIONAL CONTACT PROBLEMS
    BATHE, KJ
    MIJAILOVICH, S
    [J]. JOURNAL DE MECANIQUE THEORIQUE ET APPLIQUEE, 1988, 7 : 31 - 45
  • [8] A novel finite element approach to frictional contact problems
    Refaat, MH
    Meguid, SA
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1996, 39 (22) : 3889 - 3902
  • [9] Implementation of the eXtended Finite Element Method (X-FEM) in frictional contact problems
    Khoei, A. R.
    Anahid, M.
    Yadegaran, I.
    Nikbakht, M.
    [J]. NUMIFORM '07: MATERIALS PROCESSING AND DESIGN: MODELING, SIMULATION AND APPLICATIONS, PTS I AND II, 2007, 908 : 1573 - +
  • [10] A Stabilized Lagrange Multiplier Method for the Finite Element Approximation of Frictional Contact Problems in Elastostatics
    Lleras, V.
    [J]. MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2009, 4 (01) : 163 - 182