DAI Tian-min. Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅳ)-Surface Couservation Laws[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1101-1107.
Citation: DAI Tian-min. Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅳ)-Surface Couservation Laws[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1101-1107.

Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅳ)-Surface Couservation Laws

  • Received Date: 2002-07-03
  • Rev Recd Date: 2003-06-06
  • Publish Date: 2003-11-15
  • The purpose is to reestablish rather complete surface conservation laws for micropolar thermomechanical continua from the translation and the rotation invariances of the general balance law. The generalized energy-momentum and energy-moment of momentum tensors are presented. The concrete forms of surface conservation laws for micropolar thermomechanical continua are derived. The existing related results are naturally derived as special cases from the results proposed in this paper. The incomplete degrees of the existing surface conservation laws are clearly seen from the process of the deduction. The surface conservation laws for nonlocal micropolar thermomechanical continua may be easily obtained via localization.
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  • [1]
    戴天民.重建极性连续统理论的基本定律和原理(Ⅰ)——微极连续统[J].应用数学和力学,2003,24(10):991-997.
    [2]
    戴天民.重建极性连续统理论的基本定律和原理(Ⅱ)——微态连续统理论和偶应力理论[J].应用数学和力学,2003,24(10):998-1004.
    [3]
    戴天民.重建极性连续统理论的基本定律和原理(Ⅲ)——Noether定理[J],应用数学和力学2003,24(10):1005-1011.
    [4]
    Gross D.Beitrag zu den Dynamischen Problemen der Bruchmechanik[M].Habilitationsschrift der Universitaet Stuttgart:Verlay der Universiteat Stuttgrat,1974.
    [5]
    Jaric J.Conservation laws of the J-integral type in micropolar elastostatics[J].Int J Engng Sci,1978,16:967-984.
    [6]
    戴天民.微极线性弹性动力学的守恒定律和跳变条件[J].力学学报,1981,13(5):271-279.
    [7]
    Fletzer D C.Conservation laws in linear elastodynamics[J].Arch Rat Mech Anal,1976,60:329-353.
    [8]
    金伏生.非保守场守恒定律及某类连续介质力学的守恒律[J].力学学报,1983,15(3):184-189.
    [9]
    DAI Tlan-min.Some path independent integrals for micropolar media[J].Int J Solids Struct,1986,22(7):729-735.
    [10]
    Vukobrat M.Conservation laws in micropolar elastodynamics and path-independent integrals[J].Int J Engng Sci,1989,27(9):1093-1106.
    [11]
    Jaric J.The energy release rate and the J-integral in nonlocal micropolar field theory[J].Int J Engng Sci,1990,28(12):1303-1313.
    [12]
    DAI Tian-min.Generalized surface conservation laws for nonlocal polar thermomechanical continua[A].In:CHIEN Wei-zang Ed.Proceedings of the 3rd International Conference on Nonlinear Mechanics[C].Shanghai:Shanghai University Press,1998,181,184.
    [13]
    Buggisch H,Gross D,Krueger K H.Einige Erhaltungssaetze der Kontinuumsmechanik yom J-Integral Typ[J].Ing Archiv,1981,50:103-111.
    [14]
    Lubarda V A,Markenscoff X.Conservation laws in couple stress elasticity[J].J Mech Phys Solids,2000,48:553-564.
    [15]
    Knowles J K,Sternberg E.On a class of conservation laws in linearized and finite elastostatics[J].Arch Rat Mech Anal,1972,44:187-211.
    [16]
    Dluzewski P H.Finite deformations of polar elastic media[J].Int J Solids Struct,1993,30(16):2277-2285.
    [17]
    戴天民.三组非局部极性热力连续统的均衡方程和跳变条件[J].中国科学(A辑),1997,27(12):1106-1110.
    [18]
    Kraemer D.On the applicability of the Iintegral in fracture mechanics[J].Arch Appl Mech,1993,63:551-555.
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