DAI Tian-min. Renewal of Basic Laws and Principles for Polar Continuum Theories (Ⅸ)-Thermomechanics[J]. Applied Mathematics and Mechanics, 2005, 26(6): 653-658.
Citation: DAI Tian-min. Renewal of Basic Laws and Principles for Polar Continuum Theories (Ⅸ)-Thermomechanics[J]. Applied Mathematics and Mechanics, 2005, 26(6): 653-658.

Renewal of Basic Laws and Principles for Polar Continuum Theories (Ⅸ)-Thermomechanics

  • Received Date: 2003-08-29
  • Rev Recd Date: 2005-02-19
  • Publish Date: 2005-06-15
  • The existing fundamental laws of thermodynamics for micropolar continuum field theories are restudied and their incompleteness is pointed out.New first and second fundamental laws for thermostatics and thermodynamics for micropolar continua are postulated.From them all equilibrium equations and the entropy inequality of thermostatics as well as all balance equations and the entropy rate inequalities are naturally and simultaneously deduced.The comparisons between the new results presented here and the corresponding results demonstrated in existing monographs and textbooks concerning micropolar continuum mechanics are made at any time.It should be emphasized to note that,the problem of why the local balance equation of energy and the local entropy inequality could not be obtained from the existing fundamental laws of thermodynamics for micropolar continua,is believed to be clarified.
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  • [1]
    Truesdell C.A Fist Course in Rational Continuum Mechnaics[M].Vol.1.New York,San Francisco,London:Academic Press,1977.
    [2]
    Ziegler H.An Introduction to Thermomechanics[M].Amsterdam,New York,Oxford:North-Holand Publishing Company,1983.
    [3]
    Eringen A C.Mechanics of Continua[M].Melbourne,Florida:Kreger Publishing Company,1980.
    [4]
    Mueller I.Thermodynamics[M].Boston,London,Mellbourne:Pitman Advanced Publishing Programm,1985.
    [5]
    Teodosiu C.Elastic Models of Crystal Defects[M].Berlin,Heidelberg,New York:Springer-Verlag,1982.
    [6]
    范镜泓,高芝晖.非线性连续介质力学基础[M].重庆:重庆大学出版社,1987.
    [7]
    陈至达.有理力学[M].徐州:中国矿业大学出版社,1988.
    [8]
    匡震邦.非线性连续介质力学基础[M]. 西安:西安交通大学出版社,1989.
    [9]
    Eringen A C.Continuum Physics[M].Vol Ⅳ.New York:Academic Press,1976.
    [10]
    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):135—143.
    [11]
    DAI Tian-min.On basic laws and principles for continuum field theories[A].In:CHIEN Wei-zang Ed.Proceedings of the 4th International Conference on Nonlinear Mechanics[C].Shanghai:Shanghai University Press,2002,29—41.
    [12]
    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.
    [13]
    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.
    [14]
    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.
    [15]
    戴天民. 重建极性连续统理论的基本定律和原理(Ⅳ)——表面守恒定律[J].应用数学和力学,2003,24(11):1101—1107.
    [16]
    戴天民. 重建极性连续统理论的基本定律和原理(Ⅴ)——极性热力连续统[J]. 应用数学和力学,2003,24(11):1108—1114.
    [17]
    戴天民. 重建极性连续统理论的基本定律和原理(Ⅵ)——质量和惯性守恒定律[J].应用数学和力学,2003,24(12):1211—1216.
    [18]
    戴天民. 重建极性连续统理论的基本定律和原理(Ⅶ)——增率型[J]. 应用数学和力学,2003,24(12):1217—1222.
    [19]
    戴天民.重建极性连续统理论的基本定律和原理(Ⅷ)——全功能原理[J]. 应用数学和力学,2005,26(3):287—292.
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