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The Torsional Dislocation Loop and Mode III Cylindrical Crack

Published online by Cambridge University Press:  05 May 2011

I. Demir  and
T.A. Khraishi
I. Demir*
Affiliation:
School of Mechanical and Materials Engineering, Washington State University, Pullman, WA 99163–2920
T.A. Khraishi*
Affiliation:
Department of Mechanical Engineering, University of New Mexico, Albuquerque, NM 87131.
*
*Visiting Professor
**Assistant Professor, corresponding author
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Abstract

The elastic fields of a torsional dislocation loop in a homogeneous material are first derived. The solution is based on torsional symmetry. The stress and displacement solutions are then extended to the case of a torsional loop in a bi-material. A main utility of basic dislocation solutions is in fracture mechanics. In particular, circular loop solutions can be used in the modeling of both cylindrical and penny-shaped cracks. In the present study we use them to model a Mode III cylindrical crack via the application of a “distributed-dislocation technique”. Stress intensity factors at the crack tips are presented. The influences of crack radius and material pair on the stress intensity factor of interfacial cracks are investigated.

Keywords

Distributed dislocationsSomigliana ring dislocation
Type
Articles
Information
Journal of Mechanics , Volume 21 , Issue 2 , June 2005 , pp. 109 - 116
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2005

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References

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