The Explicit Representation to the Principal Rotation Angle and the Principal Rotation Axis

Dui Guansuo; Zhuo Xiaobao

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Dui Guansuo, Zhuo Xiaobao. The Explicit Representation to the Principal Rotation Angle and the Principal Rotation Axis[J]. Applied Mathematics and Mechanics, 1999, 20(6): 613-618.

Citation:

Dui Guansuo, Zhuo Xiaobao. The Explicit Representation to the Principal Rotation Angle and the Principal Rotation Axis[J]. Applied Mathematics and Mechanics, 1999, 20(6): 613-618.

Citation:

Dui Guansuo, Zhuo Xiaobao. The Explicit Representation to the Principal Rotation Angle and the Principal Rotation Axis[J]. Applied Mathematics and Mechanics, 1999, 20(6): 613-618.

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The Explicit Representation to the Principal Rotation Angle and the Principal Rotation Axis

Department of Applied Mechanics, Nanjing University of Science and Technology, Nanjing 210094, P R China

Received Date: 1997-05-20
Rev Recd Date: 1998-11-15
Publish Date: 1999-06-15

Abstract

Abstract

By using Cayley-Hamilton theorem, two kinds of explicit representation for the rotation tensor are proposed. The one contains the lower powers of deformation gradient, by which the formula of the principal rotation angle and the explicit representation of principal axis are obtained;the other, a high efficient method to obtain the rotation tensor, does not contain the complicated coefficients and uses few variables. Some properties about the principal rotation angle and principal rotations axis are obtained.
- stretch tensor,
- principal rotation angle,
- principal rotation axis

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References(8)

References

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