Renewal of basic laws and principles for polar continuum theories (Ⅺ)—consistency problems  

作　　者：戴天民 

机构地区：[1]Department of Mathematics & Center for the Application of Mathematics,Liaoning University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第2期163-172,共10页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.10472041)

摘　　要：Some consistency problems existing in continuum field theories are briefly reviewed. Three arts of consistency problems are clarified based on the renewed basic laws for polar continua. The first art discusses the consistency problems between the basic laws for polar continua. The second art discusses the consistency problems between the basic laws for polar continua and for other nonpolar continua. The third art discusses the consistency problems between the basic laws for micropolar continuum theories and the dynamical equations for rigid body. The results presented here can help us to get a deeper understanding the structure of the basic laws for various continuum theories and the interrelations between them. In the meantime, these results obtained show clearly that the consistency problems could not be solved in the framework of traditional basic laws for continuum field theories.Some consistency problems existing in continuum field theories are briefly reviewed. Three arts of consistency problems are clarified based on the renewed basic laws for polar continua. The first art discusses the consistency problems between the basic laws for polar continua. The second art discusses the consistency problems between the basic laws for polar continua and for other nonpolar continua. The third art discusses the consistency problems between the basic laws for micropolar continuum theories and the dynamical equations for rigid body. The results presented here can help us to get a deeper understanding the structure of the basic laws for various continuum theories and the interrelations between them. In the meantime, these results obtained show clearly that the consistency problems could not be solved in the framework of traditional basic laws for continuum field theories.

关 键 词：micropolar continua nonpolar continua rigid body basic laws consistencyproblems 

分 类 号：O33[理学—一般力学与力学基础]