首页 | 本学科首页   官方微博 | 高级检索  
     检索      

RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES (Ⅷ)—PRINCIPLE OF TOTAL WORK AND ENERGY
摘    要:

关 键 词:微极连续体  能量虚拟  守恒定律  增长率
收稿时间:29 August 2003

Renewal of basic laws and principles for polar continuum theories (VIII)—Principle of total work and energy
Authors:Dai Tian-min
Institution:(1) Department of Mathematics & Center for Application of Mathematics, Liaoning University, 110036 Shenyang, P. R. China
Abstract:Theoretical incompleteness of the existing conservation laws of energy for polar continuum mechanics is further clarified. For completeness, the principles of total work and energy and of total work and energy of incremental rate type are postulated. Via total variations of the former and the latter of them, the principles of virtual displacement and microrotation & stress and couple stress as well as virtual velocity and angular velocity & stress rate and couple stress rate are immediately obtained, respectively. From these principles all balance equations and boundary conditions for micropolar mechanics are naturally and simultaneously deduced. The essential differences between the nontraditional results obtained in this paper and the existing conservation laws of energy are expounded. Contributed by DAI Tian-min, Original Member of Editorial Committe, AMM Project supported by the National Natural Science Foundation of China (Nos. 10472041, 10072024) and the Science Research Foundation of Liaoning Province (No. 990111001)
Keywords:micropolar continua  total work and energy  total virtual work and energy  incremental rate type  conservation law of energy
本文献已被 SpringerLink 等数据库收录!
点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息
点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号