A reexamination of the pressure at the tip of a fluid-filled crack

H. D. Bui*, R. Parnes

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

Previous studies of a fluid-filled crack in an elastic medium have been based on approximate global equations of continuity and motion, and on an assumption of pure radial flow in the crack. Such investigations have led to the existence of singularities in the fluid pressure at the crack tip and hence the conclusion that a crack cannot be completely filled with fluid. It is shown that this conclusion is a result of the approximate nature of the equations and is due to neglect of the transverse velocity component. It is shown too that the exact equations do not give rise to singular terms. Using these exact equations, and taking into account the 2-dimensional nature of the flow, an asymptotic solution near the crack tip is obtained resulting in a finite pressure.

Original languageEnglish
Pages (from-to)1215-1220
Number of pages6
JournalInternational Journal of Engineering Science
Volume20
Issue number11
DOIs
StatePublished - 1982
Externally publishedYes

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