Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (10): 1119-1125.

• 论文 •    下一篇

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

戴天民   

  1. Department of Mathematics & Center for the Application of Mathematics, Liaoning University, Shenyang 110036, P. R. China
  • 收稿日期:2002-04-11 修回日期:2003-05-09 出版日期:2003-10-18 发布日期:2003-10-18
  • 基金资助:
    the National Natural Science Foundation of China (10072024); the Research Foundation of Liaoning Education Committee (990111001)

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

DAI Tian-min   

  1. Department of Mathematics & Center for the Application of Mathematics, Liaoning University, Shenyang 110036, P. R. China
  • Received:2002-04-11 Revised:2003-05-09 Online:2003-10-18 Published:2003-10-18
  • Supported by:
    the National Natural Science Foundation of China (10072024); the Research Foundation of Liaoning Education Committee (990111001)

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.

Abstract: 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.

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