RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES (X) -MASTER BALANCE LAW  

作　　者：戴天民 

机构地区：[1]Department of Mathematics & Center for the Application of MathematicsLiaoning University, Shenyang 110036, P.R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2006年第2期167-174,共8页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos.10072024 and 10472041)

摘　　要：Through a comparison between the expressions of master balance laws and the conservation laws derived by Noether＇s theorem, a unified master balance law and six physically possible balance equations for micropolar continuum mechanics are naturally deduced. Among them, by extending the well-known conventional concept of energymomentum tensor, the rather general conservation laws and balance equations named after energy-momentum, energy-angular momentum and energy-energy are obtained. It is clear that the forms of the physical field quantities in the master balance law for the last three cases could not be assumed directly by perceiving through the intuition. Finally, some existing results are reduced immediately as special cases.Through a comparison between the expressions of master balance laws and the conservation laws derived by Noether＇s theorem, a unified master balance law and six physically possible balance equations for micropolar continuum mechanics are naturally deduced. Among them, by extending the well-known conventional concept of energymomentum tensor, the rather general conservation laws and balance equations named after energy-momentum, energy-angular momentum and energy-energy are obtained. It is clear that the forms of the physical field quantities in the master balance law for the last three cases could not be assumed directly by perceiving through the intuition. Finally, some existing results are reduced immediately as special cases.

关 键 词：unified master balance law physical field quantities conservation laws ENERGY-MOMENTUM energy-angular momentum energy-energy 

分 类 号：O33[理学—一般力学与力学基础]