RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES (Ⅷ)—PRINCIPLE OF TOTAL WORK AND ENERGY |
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摘 要: |
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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 |
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Authors: | Dai Tian-min |
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Institution: | (1) Department of Mathematics & Center for Application of Mathematics, Liaoning University, 110036 Shenyang, P. R. China |
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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) |
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Keywords: | micropolar continua total work and energy total virtual work and energy incremental rate type conservation law of energy |
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