RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES (Ⅳ)--SURFACE COUSERVATION LAWS  被引量:1

RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES (Ⅳ)--SURFACE COUSERVATION LAWS

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作  者:戴天民 

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

出  处:《Applied Mathematics and Mechanics(English Edition)》2003年第11期1245-1252,共8页应用数学和力学(英文版)

基  金:the National Natural Science Foundation of China (10072024); the Research Foundation of Liaoning Education Committee (990111001)

摘  要:The purpose is to reestablish rather complete surface conservation laws for micropolar thermomechanical continua from the translation and the rotation invariances of the general balance law. The generalized energy-momentum and energy-moment of momentum tensors are presented. The concrete forms of surface conservation laws for micropolar thermomechanical continua are derived . The existing related results are naturally derived as special cases from the results proposed in this paper . The incomplete degrees of the existing surface conservation laws are clearly seen from the process of the deduction. The surface conservation laws for nonlocal micropolar thermomechanical continua may be easily obtained via localization .The purpose is to reestablish rather complete surface conservation laws for micropolar thermomechanical continua from the translation and the rotation invariances of the general balance law. The generalized energy-momentum and energy-moment of momentum tensors are presented. The concrete forms of surface conservation laws for micropolar thermomechanical continua are derived . The existing related results are naturally derived as special cases from the results proposed in this paper . The incomplete degrees of the existing surface conservation laws are clearly seen from the process of the deduction. The surface conservation laws for nonlocal micropolar thermomechanical continua may be easily obtained via localization .

关 键 词:surface conservation law micropolar thermomechanical continuum generalized energy-momentum tensor generalized energy-moment of momentum tensor 

分 类 号:O33[理学—一般力学与力学基础]

 

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