重建极性连续统理论的基本定律和原理(Ⅰ)——微极连续统  

Renewal of Basic Laws and Principles for Polar Continuum Theories(Ⅰ)-Micropolar Continua

作　　者：戴天民[1] 

机构地区：[1]辽宁大学数学系和数学应用中心,沈阳110036

出　　处：《应用数学和力学》2003年第10期991-997,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10072024);辽宁省教育委员会基础研究基金资助项目(990111001)

摘　　要：　在对现有微极连续统理论已进行过再研究的基础上重新建立较为完整的微极连续统理论的基本均衡定律和方程体系·　在此重建的新体系中不但考虑了由于动量引起的附加动量矩、面力引起的附加面矩和体力引起的附加体矩,而且还考虑了微角速度引起的附加速度,从而可以建立起耦合型的动量。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：微极连续统 耦合型 基本均衡定律 均衡方程 

分 类 号：O33[理学—一般力学与力学基础]