| 两种有限变形力学理论的分析 |
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| 引用本文： | 郭宏云,陈新,刘天宇.两种有限变形力学理论的分析[J].黑龙江科技学院学报,2009,19(3):198-201. |
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| 作者姓名： | 郭宏云 陈新 刘天宇 |
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| 作者单位： | 1. 中国矿业大学(北京)力学与建筑工程学院,北京,100083;中国矿业大学(北京)深部岩土力学与地下工程 国家重点实验室,北京,100083
2. 中国矿业大学(北京)力学与建筑工程学院,北京,100083 |
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| 基金项目： | 国家973课题，国家自然科学基金重大项目 |
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| 摘 要： | 为研究经典有限变形理论与和分解有限变形理论在非线性大变形力学分析中的区别与联系,在应力、应变定义的基础上,以大变形典型算例之一的有限转动与伸长为例,分别推导出该算例在这两种力学理论计算下的应力应变结果。计算结果表明：经典变形理论得出的形变张量不是唯一的;经典有限变形力学理论计算下的应力应变值要远大于和分解有限变形力学理论计算下的应力应变值。
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| 关 键 词： | 力学 非线性大变形 经典有限变形力学理论 和分解有限变形力学理论 |
Analysis of two different definite deformation theorems |
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| GUO Hongyun,CHEN Xin,LIU Tianyu.Analysis of two different definite deformation theorems[J].Journal of Heilongjiang Institute of Science and Technology,2009,19(3):198-201. |
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| Authors: | GUO Hongyun CHEN Xin LIU Tianyu |
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| Institution: | 1.School of Mechanics and Civil Engineering;China University of Mining and Technology;2.State Key Laboratory for Geo Mechanics and Deep Underground Engineering;Beijing 100083;China |
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| Abstract: | The attempts to investigate the differences and relations between classical definite deformation theorem and S-R decomposition theorem in nonlinear large deformation mechanical analysis resulted in the use of finite rotation and extension as an example,one of large deformation typical examples,on the basis of definitions of stress and strain in each theorem and the rededuction of stress and stain results of the example in the two different theories.The results demonstrate that the deformation tensor deduced... |
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| Keywords: | mechanics nonlinear large deformation classical definite deformation theorem S-R decomposition theorem |
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