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On Invariants of Anisotropic Elasticity Constants

Published online by Cambridge University Press:  05 May 2011

Min-Zhong Wang  and
Bao-Sheng Zhao
Min-Zhong Wang*
Affiliation:
Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China
Bao-Sheng Zhao*
Affiliation:
Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China
*
*Professor
**Graduate student
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Abstract

With the aid of a six-dimensional special eigenvector q, T.C.T.Ting finds five new invariants of anisotropic elasticity constants. The purpose of this paper is to consider some character of the eigenvector q. It is pointed that the six-dimensional special eigenvector q is unique, if it is independent of the coordinate transformation, and the general form of a three-rank orthogonal matrix is given if it has a three-dimensional special eigenvector like q. In addition, the concept of the special eigenvector q is extended and 20 invariants of anisotropic elasticity constants are obtained under rotation about x3-axis.

Keywords

InvariantsAnisotropicGauge notationEigenvector.
Type
Articles
Information
Journal of Mechanics , Volume 19 , Issue 1 , March 2003 , pp. 185 - 190
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2003

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References

REFERENCES

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