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On the Energy Release Rate of Elliptical Cracks in Anisotropic Elastic Media

Published online by Cambridge University Press:  05 May 2011

Yibin Xue  and
Jianmin Qu
Yibin Xue*
Affiliation:
Clark Atlanta University, Atlanta, GA 30314, U.S.A.
Jianmin Qu*
Affiliation:
School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332, U.S.A.
*
*Research Coordinate
**Professor
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Abstract

This brief note discusses some issues related to the calculation of energy release rate for elliptical cracks in anisotropic solids. By using the Stroh formalism, analytical expressions of the energy release rate are obtained for elliptical cracks in an unbounded anisotropic solid. Because of material anisotropy and geometric asymmetry of the crack, the local energy release rate varies along the crack front. The average energy release rate can be obtained by integrating the local energy release rate over the entire crack front. On the other hand, the total work done by the crack-surface traction on the entire crack opening displacement can be easily evaluated once the crack opening displacement is known. It is shown that the average energy release rate is equal to the rate of change per unit crack area increment of the work done by the external load on the crack opening displacement.

Keywords

Elliptical crackAnisotropic materialEnergy release rateStress intensity factor.
Type
Articles
Information
Journal of Mechanics , Volume 19 , Issue 1 , March 2003 , pp. 233 - 239
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2003

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References

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