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关于晶体旋转的误解及合理塑性应变速度

赵祖武

赵祖武. 关于晶体旋转的误解及合理塑性应变速度[J]. 应用数学和力学, 2001, 22(1): 79-84.
引用本文: 赵祖武. 关于晶体旋转的误解及合理塑性应变速度[J]. 应用数学和力学, 2001, 22(1): 79-84.
ZHAO Zu-wu. Some Misunderstandings on Rotation of Crystals and Reasonable Plastic Strain Rate[J]. Applied Mathematics and Mechanics, 2001, 22(1): 79-84.
Citation: ZHAO Zu-wu. Some Misunderstandings on Rotation of Crystals and Reasonable Plastic Strain Rate[J]. Applied Mathematics and Mechanics, 2001, 22(1): 79-84.

关于晶体旋转的误解及合理塑性应变速度

详细信息
    作者简介:

    赵祖武(1919- ),男,杭州人,教授.

  • 中图分类号: O344.3

Some Misunderstandings on Rotation of Crystals and Reasonable Plastic Strain Rate

  • 摘要: 指出晶体是离散的而不是连续的材料,因此在极分解F=RU中的旋转RF>F-1中的旋率W不是正确的。塑性变形速度若直接以滑移系中的滑移速度来表示,如γ>ν≠n,则差错将会产生。滑移后的晶格几何形状并不改变,基于此概念提出了连续介质力学范围内的一个简单途径来表达滑移产生的塑性应变速度。建议了大变形下的本构方程。
  • [1] Lee E H. Elastic-plastic deformation at finite strain[J]. ASME Appl Mech,1969,36:1-6.
    [2] Casey J, Naghdi P M. A remark on the use of decomposition F=Fe Fp in plasticity[J]. ASME J Appl Mech,1980,4 7:672-675.
    [3] Lubarda V A, Lee E H. A correct definition of elastic an dplastic deformation and its computational significance[J]. J Appl Mech,1981,48:35-40.
    [4] Lee E H, Mallett R L, Wertheimer T B. Stress analysis for kinematic hardening in finite deformation plasticity[J]. J Appl Mech,1983,50:554-.
    [5] Paulum J, Hannover, Bunderrepablik Deutschland. Plast ishe inkompressibil itat formanderugen[J]. Acta Mech,1980,37:43-51.
    [6] Sidoroff F. Incremental constitutive equation for large strain elasto-plasticity[J]. Int J Engng Sci,1982,20:19-26.
    [7] Lee E H. Concerning elastic and plastic components of deformation [J]. Int J Solids and Struc,1980,16:715-721.
    [8] Dafalias Y F. Issues on constitutive formulation at elastic-plastic deformation, Part 1: Kinematics[J]. Acta Mech,1987,69: 119-138.
    [9] Bammann D J, Johnson G C. On the kinematics of finite deformation plasticity[J]. Acta Mech,1987,69:1-13.
    [10] LIANG Hao-yuan, Lehmann Th. Decomposition of elastic-plastic deformation[J]. S M Archives,1988,13:239-249.
    [11] Lammering R, Pecherski R B, Stein E. Theoretical and computational aspect of large plastic deformations involving strain-induced anisotrotopy and developing voids [J]. Arch Mech,1990,42:347-375.
    [12] Aravas N, Afrantis E C. On the geometry of slip and spin in finite plastic deformation[J]. Int J Plasticity,1991,7:141-160.
    [13] Obata M, Yashiaki Goto, Sei Matsaura. Micromechanical consid eration on the theory of elasto-plasticity at finite deformations[J]. Int J Engng Sci,1990,28:241-253.
    [14] Lehmann Th. On Large Elasto-Plastic Deformation[M]. A Sawczuk Ed. Leyden: Nordhoff Publ Comp,1973,571-585.
    [15] Kondaurov V I, Kukudianov V N. On constitutive equations and nume rical solution of the multidimensional problems of the dynamics of nonisothermic elastic-plastic media with finite demormations[J]. Arch Mech,1979,31:623-647.
    [16] Mandel J, Relations decomportement desmilieux elastiques-plasti queset elastques-viscoplastiques, Notion de repere directeur[A]. In: Sawczuk A Ed. Foundation of Plasticity[C]. Leyden: Noordhoff Intl,1973.
    [17] Dafalias Y F. The plastic spin[J]. J Appl Mech,1985,52:865-871.
    [18] Havner K S. The theory of finite plastic deformation of crystalline solids[A]. In: Hopkins H G, Swell M J Eds. The Rodney Hill 60th Anniverssay Volume[C]. Swell Pergamon Press,1982,265-302.
    [19] Asaro R J, Crysyal plasticity[J]. J Appl Mech,1983,50:921-934.
    [20] Bammann D J. Aifantis E C. A model for finite deformation plasticity[J]. Acta Mech,1987,69:97-117.
    [21] Boyce M C, Weber G G, Parks D M. On the kinematics of finite strain in plasticity[J]. J Mech Phys Solids,1989,37:647-665.
    [22] Aravas N, Afantis E C. On the geometry of slip and spin in finite plastic deformation[J]. Int J of Plasticity,1991,7:141-160.
    [23] Gissen E. Micromechanical and thermodynamic aspects of the plastic spin[J]. Int J Plasticity,1991,7:365-386.
    [24] 王自强. 近代塑性力学发展概况[J].力学进展,1986,16:210-220.
    [25] ZHAO Zu-wu. Theory of Gvozjev and macroscopic glide systems[ A]. Proc of the Numeta Int Conf[C]. UK: University College of Swansea,1985,543-547.
    [26] Palgen L, Drucker D C. The structure of stress-strain relations in finite elasto-plasticity[J]. Int J Solids Struc,1983,19:519-531.
    [27] Green A E, Zerba W. Theoretical Elasticity[M]. Clarendon Press,1,1954.
    [28] Lehmann Th. General frame for the definition of constitutive law for large non-isothermmic elastic-plastic and elastic-visco-plastic deformation [A]. In: Lehmann Th Ed. The Constitutive in Thermoplasticity[C]. CISMUdine,1984,379-464.
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出版历程
  • 收稿日期:  2000-02-22
  • 修回日期:  2000-09-20
  • 刊出日期:  2001-01-15

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