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

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

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.水利论文1^]Mo3F1GT

作 者: DAI Tian-min  
作者单位:Department of Mathematics & Center for the Application of Mathematics,Liaoning University, Shenyang 110036, P.R. China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2006 27(2) 
分类号:O33 
关键词:unified master balance law   physical field quantities   conservation laws   energy-momentum   energy-angular momentum   energy-energy  
机标关键词:conservation lawsbalance equationsunified master balance lawphysical field quantitiesenergymomentum tensorcontinuum mechanics 
基金项目:中国科学院资助项目 
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