New Principles of Work and Energy as Well as Power and Energy Rate for Continuum Field Theories

被引：0
|
作者：
Tian-min Dai
机构：
[1] Liaoning University,Center for the Application of Mathematics and Department of Mathematics
来源：
Applied Mathematics and Mechanics | 2001年 / 22卷
关键词：
new principles of work and energy; power and energy rate; generalized Piola's theorem; new equations of energy and energy rate; generalized continua;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
New principles of work and energy as well as power and energy rate with cross terms for polar and nonlocal polar continuum field theories were presented and from them all corresponding equations of motion and boundary conditions as well as complete equations of energy and energy rate with the help of generalized Piola's theorems were naturally derived in all and without any additional requirement. Finally, some new balance laws of energy and energy rate for generalized continuum mechanics were established. The new principles of work and energy as well as power and energy rate with cross terms presented in this paper are believed to be new and they have corrected the incompleteness of all existing corresponding principles and laws without cross terms in literatures of generalized continuum field theories.
引用
收藏
页码：1231 / 1239
页数：8
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