| 论连续体力学中的刚体运动下的不变性条件问题 |
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| 引用本文： | 戴天民.论连续体力学中的刚体运动下的不变性条件问题[J].辽宁大学学报(自然科学版),2014(1):1-8. |
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| 作者姓名： | 戴天民 |
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| 作者单位： | 辽宁大学数学院数学应用中心,辽宁沈阳110036 |
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| 基金项目： | 国家自然科学基金委曾连续资助作者主持完成5个基金项目(广义连续介质力学及其应用,广义非局部变分力学,广义连续介质力学中的多场耦合理论探索,对广义连续介质力学的基本定律的再研究,非传统的可变形体力学基本定律和原理体系)和一个国际合作项目(连续介质力学中的多场问题) |
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| 摘 要： | 对于诸多学者在推导连续体力学基本定律和方程时要用刚体运动下的不变性条件问题提出质疑,并从作者建立的较为完整的能量守恒定律推导出一系列新的基本守恒方程.
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| 关 键 词： | 连续体力学 基本守恒方程 不变性条件 能量守恒定律. |
On the Invariance Reguirements under Superposed Rigid Body Motion in Continuum Mechanics |
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| DAI Tian-min.On the Invariance Reguirements under Superposed Rigid Body Motion in Continuum Mechanics[J].Journal of Liaoning University(Natural Sciences Edition),2014(1):1-8. |
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| Authors: | DAI Tian-min |
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| Institution: | DAI Tian-min ( School of Mathematics, Liaoning University, Shenyang 110036, China) |
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| Abstract: | The frequently followed invariance requirements under superposed rigid body motion have been used by some scholars to derive the basic balance equations of continuum mechanics. The renewed basic balance equations may be simultaneously deduced from the rather complete conservation law of energy by setting aside any additional requirements in this paper. Based on these facts , the author believes that any invariance requirements are unnesesary for both macrocontinuum and microcontinuum mechanics. |
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| Keywords: | continuum mechanics basic balance equations invariance requirement balance law of energy |
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