Some Considerations on Estimation of Energy Release Rates for Circumferentially Cracked Pipes

1984 ◽  
Vol 106 (4) ◽  
pp. 391-398 ◽  
Author(s):  
J. Pan

The estimation of energy release rates under multiple loading conditions is discussed from the viewpoint of variation of the potential energy of the nonlinear elastic cracked body. Applications of this concept to pipes with a circumferential through-wall crack under combined bending and constant tension conditions are reviewed. For a part-through-wall crack, a simple perturbation analysis of a pipe with an internal circumferential surface crack under combined bending and constant tension gives the variation of the energy release rate J along the circumferential surface crack front. The results suggest that the common assumption of uniform crack growth in the radial direction for a circumferential surface crack with a uniform crack depth [5] is not generally valid.

1986 ◽  
Vol 108 (1) ◽  
pp. 33-40 ◽  
Author(s):  
J. Pan

An estimation of the energy release rate J for a three-dimensional nonlinear elastic solid containing a two-dimensional plane crack is presented. Special attention is focused on a pipe with a circumferential surface crack subjected to bending. The present analysis gives an estimation of the distribution of J along the crack front of a circumferential surface crack. Fracture instability of the cracked solid is also discussed. Based on the deformation theory of plasticity and a postulated criterion for crack growth, wall-breakthrough instability of the circumferential surface crack is examined. The predictions of the present analysis are in agreement with experimental observations, and indicate that a longer circumferential surface flaw is more susceptible to radial instability. Implications of this study on “leak before break” conditions are also discussed.


1970 ◽  
Vol 6 (3) ◽  
pp. 203-210 ◽  
Author(s):  
Charles W. George ◽  
Aylmer D. Blakely

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