In a previous paper, a simplified dynamic-shell theory representation was formulated for steady-state motion in a pipeline without backfill. The present work extends this model by (1) incorporating a gas dynamics treatment to determine the axial variation in the pressure exerted by the gas on the pipe walls, and (2) incorporating a plastic yield hinge behind the crack tip. Solutions to the governing dynamic equations are obtained for these conditions and used to calculate the steady-state dynamic energy release rate as a function of crack speed. In the single full-scale experiment in which an independent estimate of the dynamic fracture energy is available for a pipe without backfill, the model predicts a steady-state speed of 780 fps. This can be compared with measured speeds which ranged from 725 to 830 fps in the test. Because the calculated steady-state dynamic energy release rate exhibits a maximum, it is suggested that this approach may offer a basis for crack arrest design of pipelines.
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February 1976
Research Papers
Steady-State Crack Propagation in Pressurized Pipelines Without Backfill
M. F. Kanninen,
M. F. Kanninen
Battelle Columbus Laboratories, Columbus, Ohio
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S. G. Sampath,
S. G. Sampath
Battelle Columbus Laboratories, Columbus, Ohio
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C. Popelar
C. Popelar
The Ohio State University, Columbus, Ohio
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M. F. Kanninen
Battelle Columbus Laboratories, Columbus, Ohio
S. G. Sampath
Battelle Columbus Laboratories, Columbus, Ohio
C. Popelar
The Ohio State University, Columbus, Ohio
J. Pressure Vessel Technol. Feb 1976, 98(1): 56-64 (9 pages)
Published Online: February 1, 1976
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Received:
March 31, 1975
Online:
October 25, 2010
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Kanninen, M. F., Sampath, S. G., and Popelar, C. (February 1, 1976). "Steady-State Crack Propagation in Pressurized Pipelines Without Backfill." ASME. J. Pressure Vessel Technol. February 1976; 98(1): 56–64. https://doi.org/10.1115/1.3454326
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