RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES (Ⅰ) —MICROPOLAR CONTINUA  

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 Contributed by DAI Tian-min, Original Member of Editorial Committee, AMM

出　　处：《Applied Mathematics and Mechanics(English Edition)》2003年第10期1119-1125,共7页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina(1 0 0 72 0 2 4) ;theResearchFoundationofLiaoningEducationCommittee (990 1 1 1 0 0 1 )

摘　　要：Based on the restudies of existing polar continuum theories rather complete systems of basic balance laws and equations for micropolar continuum theory are presented. In these new systems not only the additional angular momentum, surface moment and body moment produced by the linear momentum, surface force and body force, respectively, but also the additional velocity produced by the angular velocity are considered. The new coupled balance laws of linear momentum, angular momentum and energy are reestablished. From them the new coupled local and nonlocal balance equations are naturally derived. Via contrast it can be clearly seen that the new results are believed to be rather general and complete.Based on the restudies of existing polar continuum theories rather complete systems of basic balance laws and equations for micropolar continuum theory are presented. In these new systems not only the additional angular momentum, surface moment and body moment produced by the linear momentum, surface force and body force, respectively, but also the additional velocity produced by the angular velocity are considered. The new coupled balance laws of linear momentum, angular momentum and energy are reestablished. From them the new coupled local and nonlocal balance equations are naturally derived. Via contrast it can be clearly seen that the new results are believed to be rather general and complete.

关 键 词：micropolar continuum coupled basic law balance equation 

分 类 号：O33[理学—一般力学与力学基础]