| Renewal of basic laws and principles for polar continuum theories （XI）——consistency problems |
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| 引用本文： | 戴天民. Renewal of basic laws and principles for polar continuum theories （XI）——consistency problems[J]. 应用数学和力学(英文版), 2007, 28(2): 163-172. DOI: 10.1007/s 10483-007-0204-y |
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| 作者姓名： | 戴天民 |
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| 作者单位： | Department of Mathematics ＆ Center for the Application of Mathematics, Liaoning University, Shenyang 110036, P. R. China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （No.10472041） |
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| 摘 要： |
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| 关 键 词： | 稠度 连续介质力学 刚体 平衡性 |
| 收稿时间： | 2006-01-14 |
| 修稿时间： | 2006-11-04 |
Renewal of basic laws and principles for polar continuum theories (XI)—consistency problems |
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| Dai Tian-min. Renewal of basic laws and principles for polar continuum theories (XI)—consistency problems[J]. Applied Mathematics and Mechanics(English Edition), 2007, 28(2): 163-172. DOI: 10.1007/s 10483-007-0204-y |
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| Authors: | Dai Tian-min |
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| Affiliation: | (1) Department of Mathematics & Center for the Application of Mathematics, Liaoning University, Shenyang, 110036, P. R. China |
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| Abstract: | Some consistency problems existing in continuum field theories are briefly reviewed. Three arts of consistency problems are clarified based on the renewed basic laws for polar continua. The first art discusses the consistency problems between the basic laws for polar continua. The second art discusses the consistency problems between the basic laws for polar continua and for other nonpolar continua. The third art discusses the consistency problems between the basic laws for micropolar continuum theories and the dynamical equations for rigid body. The results presented here can help us to get a deeper understanding the structure of the basic laws for various continuum theories and the interrelations between them. In the meantime, these results obtained show clearly that the consistency problems could not be solved in the framework of traditional basic laws for continuum field theories. |
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| Keywords: | micropolar continua nonpolar continua rigid body basic laws consistencyproblems |
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