| 极分解中转动张量的计算及近似分析 |
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| 引用本文： | 兑关锁,谢玉树.极分解中转动张量的计算及近似分析[J].南京理工大学学报(自然科学版),1998,22(1):86-89. |
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| 作者姓名： | 兑关锁 谢玉树 |
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| 作者单位： | 南京理工大学理学院 |
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| 摘 要： | 该文利用Ｃａｙｌｅｙ－Ｈａｍｉｔｌｏｎ定理给出了动张量Ｒ的显式表示，其中只包含变形梯度Ｆ的较低次幂及Ｕ和Ｆ的主不变量，由此获得转动角的计算公式和转动轴的显式表达，最后通过近似分析，给出了在小变形中等转动情况下转动张量和伸长张量的近似表示。
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| 关 键 词： | 连续介质力学 近似计算 转动张量 极分解 变形 |
The Computation and Approximate Analysis on the Rotation Tensor in the Polar Decomposition |
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| Dui Guansuo,Xie Yushu.The Computation and Approximate Analysis on the Rotation Tensor in the Polar Decomposition[J].Journal of Nanjing University of Science and Technology(Nature Science),1998,22(1):86-89. |
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| Authors: | Dui Guansuo Xie Yushu |
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| Abstract: | By use of Cayley-Hamilton theorem, a representation for the rotation tensor which contains the lower powers of deformation gradient is proposed . An explicit formula of rotation angle is derived and a representation for the rotation tensor axis is obtained. Finally, through the approximate analysis, the approximate representation on the rotation tensor and stretch tensor is proposed. |
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| Keywords: | continuum mechanics tensors approximate computation |
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