Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (6): 653-659.

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THE EXPLICIT REPRESENTATION TO THE PRINCIPAL ROTATION ANGLE AND THE PRINCIPAL ROTATION AXIS

Dui Guansuo, Zhuo Xiaobao   

  1. Department of Applied Mechanics, Nanjing University of Science and Technology, Nanjing 210094, P. R. China
  • Received:1997-05-20 Revised:1998-11-15 Online:1999-06-18 Published:1999-06-18

Abstract: By using Cayley-Hamilton theorem,two kinds of explicit representation for th e rotation tensor are proposed.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 th e rotation tensor,does not contain the complicated coefficients and u ses few variables.Some properties about the principal rotation angle and the principal rotation axis are obtained.

Key words: stretch tensor, principal rotation angle, principal rotation axis

2010 MSC Number: 

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