Numerical study of two-dimensional problems of nonsymmetric elasticity

被引:2
作者
Korepanov, V. V. [1 ]
Matveenko, V. P. [1 ]
Shardakov, I. N. [1 ]
机构
[1] Russian Acad Sci, Inst Continuous Media Mech, Ural Branch, Perm 614013, Russia
基金
俄罗斯基础研究基金会;
关键词
Stress Concentration Factor; Torsional Rigidity; Natural Boundary Condition; Hole Radius; High Stress Gradient;
D O I
10.3103/S0025654408020064
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We consider the algorithm of the finite element method for solving two-dimensional problems of nonsymmetric elasticity. We discuss the possibilities of the algorithm and its efficiency by comparing the numerical results with the well-known analytic solutions. We present the results obtained by solving the problem of tension of a plate weakened by a series of holes and the problem of tension for a plate with a central crack. The numerical results thus obtained are considered as an addition to the analytic solutions in the context of experimental justification of couple-stress effects arising under deformation of elastic materials and in the context of solving the identification problem for mechanical constants in nonsymmetric elasticity.
引用
收藏
页码:218 / 224
页数:7
相关论文
共 15 条
  • [1] [Anonymous], 1987, INTRO MICROMECHANICS
  • [2] ERINGEN A, 1975, MICROPOLAR ELASTICIT, V2, P647
  • [3] QUEST FOR MICROPOLAR ELASTIC-CONSTANTS
    GAUTHIER, RD
    JAHSMAN, WE
    [J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1975, 42 (02): : 369 - 374
  • [4] KOITER WT, 1964, P KONICL ACAD WET B, V67, P89
  • [5] Kroner E., 1963, Int. J. Eng. Sci, V1, P261, DOI [10.1016/0020-7225(63)90037-5, DOI 10.1016/0020-7225(63)90037-5]
  • [6] Parametric analysis of analytical solutions to one- and two-dimensional problems in couple-stress theory of elasticity
    Kulesh, MA
    Matveenko, VP
    Shardakov, IN
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2003, 83 (04): : 238 - 248
  • [7] KULESH MA, 2002, MECH SOLIDS, V37, P56
  • [8] Lakes R., 1996, CONTINUUM MODELS MAT, V1, P1
  • [9] Mindlin R.D., 1963, EXP MECH, V3, P1, DOI [10.1007/BF02327219, DOI 10.1007/BF02327219, 10.1007/bf02327219]
  • [10] NAKAMURA S, 1984, INT J ENG SCI, V22, P319, DOI 10.1016/0020-7225(84)90013-2