Abstract
The paper develops a theory of tearing for circumferential through-cracks in pipes. Resistance to tearing is postulated to be a consequence of invariance in shape at the tip of a growing crack.
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Abbreviations
- E :
-
Young's modulus
- J :
-
fracture parameter
- M :
-
applied bending moment
- σ F :
-
flow stress
- σ:
-
M/(π F hR 2)
- R :
-
pipe mean radius
- h :
-
pipe thickness
- u :
-
axial displacement
- ɛ:
-
(h/R)[12(1−v 2)]−1/2
- u :
-
Eu/σ F R
References
J.L. Sanders, Jr., Dugdale model for circumferential through-cracks in pipes loaded by bending. (submitted for publication).
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E. Smith, Engineering Fracture Mechanics 22 (1985) 263–267.
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M. Abramowitz and I.A. Stegun, Hundbook of Mathematical Functions, National Bureau of Standards, Applied Mathematics Series (1965) 55.
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Sanders, J.L. Tearing of circumferential cracks in pipes loaded by bending. Int J Fract 35, 283–294 (1987). https://doi.org/10.1007/BF00276358
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DOI: https://doi.org/10.1007/BF00276358