DAI Tian-min. Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅰ)-Micropolar Continua[J]. Applied Mathematics and Mechanics, 2003, 24(10): 991-997.
Citation: DAI Tian-min. Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅰ)-Micropolar Continua[J]. Applied Mathematics and Mechanics, 2003, 24(10): 991-997.

Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅰ)-Micropolar Continua

  • Received Date: 2002-04-11
  • Rev Recd Date: 2003-05-09
  • Publish Date: 2003-10-15
  • Based on the restudies of existing polar continuum theories rather complete systems of basic balance laws and equations for micropolar continuum theory are presented.In these new systems not only the additional angular momentum,surface moment and body moment produced by the linear momentum,surface force and body force,respectively,but also the additional velocity produced by the angular velocity are considered.The new coupled balance laws of linear momentum,angular momentum and energy are reestablished.From them the new coupled local and nonlocal balance equations are naturally derived.Via contrast it can be clearly seen that the new results are believed to be rather general and complete.
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  • [1]
    戴天民.带有微结构的连续统中新的能量守恒定律和C-D不等式[J].应用数学和力学,2001,22(2):119-126.
    [2]
    戴天民.广义连续统场论中新的功能及功率能率原理[J].应用数学和力学,2001,22(11):1111-1118.
    [3]
    DAI Tian-min. New laws and principles for continuum mechanics-Part Ⅰ :Balance laws and equations [A]. In: CHIEN Wei-zang Ed. Proceedings of the 4 th International Conference on Nonlinear Mechniacs[C].Shanghai:Shanghai University Press,2002,206-209.
    [4]
    DAI Tian-min. On basic laws and principles for continuum field theories[A]. In:CHIEN Wei-zang Ed.Proceedings of the 4 th International Conference on Nonlinear Mechniacs [C]. Shanghai: Shanghai University Press,2002,29-41.
    [5]
    A C爱林根,C B卡法达.微极场论[M].戴天民译.南京:江苏科学技术出版社,1982,17-23.
    [6]
    Eringen A C. Microcontinuum Field Theories[M]. New York:Springer-Verlag, 1999.
    [7]
    Stojanovic R. On the principle of virtual work in the theory of oriented elastic media [J]. Z Angew Math Mech, 1973, 53: T79-T82.
    [8]
    Wang J, Dhaliwa R S. On some theorems in the nonlocal theory of micropolar elasticity [J]. Int J Solids Structures, 1993,30(10): 1331-1338.
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