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The Computation and Approximate Analysis on the Rotation Tensor in the Polar Decomposition(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
1998年01期
Page:
90-93
Research Field:
Publishing date:

Info

Title:
The Computation and Approximate Analysis on the Rotation Tensor in the Polar Decomposition
Author(s):
Dui Guansuo Xie Yushu
School of Sciences, NUST, Nanjing 210094
Keywords:
cont inuum mechanics tenso rs appr oximate computat ion
PACS:
O33
DOI:
-
Abstract:
By use of Cayley- Hamilton theorem, a representat ion for the rotation tensor w hich contains the low er pow ers o f deformat io n g radient is pr opo sed . An ex plicit fo rmula of rotat ion ang le is der iv ed and a representat io n for the ro tat ion tensor ax is is obtained. Final ly, thro ug h the appr ox imate analysis, the appro ximate r epresentat ion on the rotat ion tenso r and st retch tensor is proposed.

References:

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Memo:
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Last Update: 2013-03-29