| RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES (Ⅸ)— THERMOMECHANICS |
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| 引用本文： | 戴天民.RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES (Ⅸ)— THERMOMECHANICS[J].应用数学和力学(英文版),2005,26(6):709-715. |
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| 作者姓名： | 戴天民 |
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| 作者单位： | DepartmentofMathematics＆CenterfortheApplicationofMathematics,LiaoningUniversity,Shenyang110036,P.R.China／／ContributedbyDAITian-min,OriginalMemberofEditorialCommittee,AMM |
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| 摘 要： | The existing fundamental laws of thermodynamics for micropolar continuum field theories are restudied and their incompleteness is pointed out. New first and second fundamental laws for thermostatics and thermodynamics for micropolar continua are postulated. From them all equilibrium equations and the entropy inequality of thermostatics as well as all balance equations and the entropy rate inequalities are naturally and simultaneously deduced. The comparisons between the new results presented here and the corresponding results demonstrated in existing monographs and textbooks concerning micropolar continuum mechanics are made at any time. It should be emphasized to note that, the problem of why the local balance equation of energy and the local entropy inequality could not be obtained from the existing fundamental laws of thermodynamics for micropolar continua, is believed to be clarified.
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| 关 键 词： | 微极性 基本定律 热静力学 能量转换率 熵率不等式 |
| 收稿时间： | 29 August 2003 |
Renewal of basic laws and principles for polar continuum theories (IX)—Thermomechanics |
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| Dai Tian-min.Renewal of basic laws and principles for polar continuum theories (IX)—Thermomechanics[J].Applied Mathematics and Mechanics(English Edition),2005,26(6):709-715. |
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| Authors: | Dai Tian-min |
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| Institution: | (1) Department of Mathematics & Center for the Application of Mathematics, Liaoning University, 110036 Shenyang, P. R. China |
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| Abstract: | The existing fundamental laws of thermodynamics for micropolar continuum field theories are restudied and their incompleteness
is pointed out. New first and second fundamental laws for thermostatics and thermodynamics for micropolar continua are postulated.
From them all equilibrium equations and the entropy inequality of thermostatics as well as all balance equations and the entropy
rate inequalities are naturally and simultaneously deduced. The comparisons between the new results presented here and the
corresponding results demonstrated in existing monographs and textbooks concerning micropolar continuum mechanics are made
at any time. It should be emphasized to note that, the problem of why the local balance equation of energy and the local entropy
inequality could not be obtained from the existing fundamental laws of thermodynamics for micropolar continua, is believed
to be clarified.
Contributed by Dai Tian-min, Original Member of Editorial Committee, AMM
Project supported by the National Natural Science Foundation of China (Nos. 10472041 and 10072024) and the Science Research
Foundation of Liaoning Province (No. 990111001) |
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| Keywords: | micropolar continua fundamental law thermostatics thermodynamics energy rate entropy rate inequality |
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