Linear and non-linear analyses for semi-elliptical surface cracks in pipes under bending |
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| Authors: | B. Mechab B. Serier B. Bachir Bouiadjra K. Kaddouri X. Feaugas |
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| Affiliation: | 1. LMPM, Department of Mechanical Engineering, University of Sidi Bel Abbes, Sidi Bel Abbes 22000, Algeria;2. Department of Mechanical Engineering, College of Engineering, King Saud University, Riyadh, Saudi Arabia;3. Laboratoire d’Etude des Matériaux en Milieux Agressifs (L.E.M.M.A), La Rochelle University, LaRochelle, France |
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| Abstract: | In this paper, the J integral was calculated for semi-elliptical surface cracks in pipes under bending using three-dimensional finite element analysis. The computations were performed for elastic and elastic-plastic behaviours. For the elastic case, the numerical results allowed the extrapolation of shape functions for analytical determination of the J integral. The results are in a good agreement with those in the literature if the ratio between the radius and the thickness of the pipe (R/t) is from 1 to 10. The analysis was extended to values of the ratio R/t higher than 10. For the elastic-plastic, the numerical results are in good agreement with the analytical solution found in the literature for thick pipes (R/t ≥ 10). The effect of the ratio R/t becomes sensible when the ratio of the applied moment to the moment of reference (M/Mor) exceeds 0.9. |
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| Keywords: | Fracture Finite element method Shape factor function Semi-elliptical surface cracks J integral Reference stress approach |
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