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Stability Analysis Of Cracks Propagating In Three Dimensional Solids

Published online by Cambridge University Press:  15 February 2011

H. Larralde ,
A. A. Al-Falou  and
R. C. Ball
H. Larralde
Affiliation:
Cavendish Laboratory, Madingley Rd., Cambridge CB3 0HE, UK.
A. A. Al-Falou
Affiliation:
Cavendish Laboratory, Madingley Rd., Cambridge CB3 0HE, UK.
R. C. Ball
Affiliation:
Cavendish Laboratory, Madingley Rd., Cambridge CB3 0HE, UK.
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Abstract

We present a theory for the morphology of the fracture surface left behind by slowly propagating cracks in linear, isotropic and homogeneous three dimensional solids. Our results are based on first order perturbation theory of the equations of elasticity for cracks whose shape is slightly perturbed from planar. For cracks propagating under pure type I loading we find that all perturbation modes are linearly stable, from which we can predict the roughness of the fracture surface induced by fluctuations in the material. We compare our results with the classical results for cracks propagating in two dimensional systems, and discuss the effects in the three dimensional analysis which result from taking into account contributions from non-singular terms of the stress field, as well as the effects arising from finite speeds of crack propagation.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 409: Symposium Q – Fracture-Instablility Dynamics, scaling and Ductile/Brittle Behavior , 1995 , 321
Copyright
Copyright © Materials Research Society 1996

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References

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