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再论经典连续统力学基本定律和均衡方程体系

On the System of Basic Laws and Balance Equations for Classical Continuum Mechanics Revisited
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摘要 指出了经典连续统场论中惯用的热动力学基本定律的不完整性.提出了经典热力连续统力学的新的热静力学和热动力学的第一和第二基本定律.由它们可以自然地和同时推导出热静力学的所有平衡方程和熵不等式及热动力学所有均衡方程和熵率不等式. Some theoretical defects of the traditional fundamental laws of thermodynamics for classical continuum field theories is briefly pointed out. Further,new fundamental first and second laws of thermostatics and thermodynamics for continuum mechanics are presented. From these new fundamental laws all equilibrium equations of thermostatic and all balance equations of thermodynamics as well as the entropy inequality and the entropy rate are naturally derived.
作者 戴天民
机构地区 辽宁大学数学系
出处 《辽宁大学学报（自然科学版）》 CAS 2006年第1期1-5,共5页 Journal of Liaoning University：Natural Sciences Edition
基金 国家自然科学基金(批准号:10472041)资助项目
关键词 基本定律 基本方程 热静力学 热动力学 经典连续统力学 basic laws basic equations thermostatics thermodynamics classical continnuum mechanics
分类号 O33 [理学—一般力学与力学基础]
  • 相关文献

参考文献12

  • 1戴天民.论经典连续统力学基本定律和原理体系,现代数学和力学(Ⅸ)[M].上海:上海大学出版社,2004:23—33.
  • 2A C爱林根.连续介质力学[M].程昌钧,俞焕然译,戴天民校.北京:科学出版社,1991.
  • 3C Truesdell. A First Course In Rational Continuum Mechanics, Vol I[M]. Academic Press, 1977.
  • 4H Ziegler. An Introduction To Thermomechanics[ M ].North-Holland Publishing Company, 1983.
  • 5I Mueller. Thermodynamics[ M ].Pitman Advanced Publishing Program, 1985.
  • 6C Teodosiu. Elastic Models of Crystal Defects [ M ].Springer - verlag, 1982.
  • 7陈至达.有理力学[M].徐州:中国矿业大学出版社,1988..
  • 8P Haupt. On the application of dual variables in continuum mechanics[J]. Continuum Mech Thermodyn,1988, 1:165 - 196.
  • 9T M Dai. New laws and principles for continuum mechanics- part I. Balance laws and equations, Proc of the 4th Int Conf on Nonlinear Mechanics[M].Shanghai University Press, 2002: 206- 209.
  • 10T M Dai. New laws and principles for continuum mechanics - part I1. Energy rate and power . Proc. of the 4th Int. conf. on Nonlinear mechanics[M].Shanghai University Press, 2002:210 - 212.

二级参考文献15

  • 1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. 被引量：6
  • 2Truesdell C. A Fist Course in Rational Continuum Mechnaics [ M]. Vol. 1. New York, San Francisco,London:Academic Press, 1977.
  • 3Ziegler H. An Introduction to Thermomechanics [ M]. Amsterdam, New York, Oxford: North-Holand Publishing Company, 1983.
  • 4Eringen A C. Mechanics of Continua[ M]. Melbourne, Florida: Kreger Publishing Company, 1980.
  • 5Mueller I. Thermodynamics [M]. Boston, London, Mellbourne: Pitman Advanced Publishing Programm, 1985.
  • 6Teodosiu C. Elastic Models of Crystal Defects [ M]. Berlin, Heidelberg, New York: Springer-Veriag,1982.
  • 7陈至达.有理力学[M].徐州:中国矿业大学出版社,1988..
  • 8Eringen A C. Continuum Physics[M]. Vol Ⅳ .New York:Academic Press, 1976.
  • 9DAI 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.
  • 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):119-126. 被引量：8

共引文献12

辽宁大学学报（自然科学版）
2006年 第1期

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