Constraint Parameter for a Longitudinal Surface Notch in a Pipe Submitted to Internal Pressure

Abstract:

The use of two parameters fracture mechanics criterion as a tool for structural design and analysis has increased significantly in recent years. First, we discuse the elastic solution for the stress distribution at crack tip for two dimensional geometries and particularly constraint as T-stress under various loading conditions. Secondly, using notch fracture mechanics and particularly the Volumetric Method approach, we study the stress distribution at the tip of a notch in pipes submitted to internal pressure. The Notch Stress Intensity Factor Kρ and the effective T-stress are combined into a two-parameter fracture criterion (KIρ-Tef). This approach is then used to quantify the constraint of notch-tip fields for various pipe geometry and loading conditions.

• Periodical: Key Engineering Materials (Volume 399)
• Pages: 3-11
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.399.3
• Online since: October 2008
• Authors: Mohammed Hadj Meliani, M. Benarous, Z. Azari, G. Pluvinage
• Keywords: Castem2000, Constraint, Finite Element Analysis (FEA), T-Stress

References

[1] Williams ML : On the stress distribution at the base of stationary crack. ASME J Appl Mech; 24 , 109-14 (1957).

[2] Rice JR. : Limitations to the-scale yielding approximation for crack-tip plasticity. J. Mech. Solids, 22, 17-26 (1974).

DOI: 10.1016/0022-5096(74)90010-6

[3] Larsson, S. G and Carlsson, A.J.: Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials. J. Mech. Phys. Solids 21, 263-278 (1973).

DOI: 10.1016/0022-5096(73)90024-0

[4] Leevers PS, Radon JC : Inherent stress biaxiality in various fracture specimen geometries. Int. J. Fract. 19, 311-25 (1982).

DOI: 10.1007/bf00012486

[5] Chao, Y.J. and Zhang, X.: Constraint effect in brittle fracture. 27th National Symposium on Fatigue and fracture, ASTM STP 1296, R.S. Piascik, J.C. Newman, Jr. and D.E. Dowling, Eds., American Society for Testing and Materials, Philadelphia, pp.41-60 (1997).

DOI: 10.1520/stp16227s

[6] Chao, Y.J., Liu, S., and Broviak, B.J. : Variation of fracture toughness with constraint of PMMA specimens. Proceedings of ASME-PVP conference 393, 113-120 (1999).

[7] Chao , Y.J., Liu, S., and Broviak, B.J.: Brittle fracture: variation of fracture toughness with constraint and crack curving under mode I conditions. Experimental Mechanics 41(3), 232-241 (2001).

DOI: 10.1007/bf02323139

[8] Du ZZ, Hancock JW : The effect of non-singular stresses on crack tip constraint. J Mech Phys Solids. 39; 555-67 (1991).

[9] Yang, B. Ravi-Chandar, K.: Evaluation of elastic T-stress by the stress difference method. Engng Fract Mech. 64; 589-605 (1999).

DOI: 10.1016/s0013-7944(99)00082-x

[10] Leevers PS, Radon JC : Inherent stress biaxiality in various fracture specimen geometries. Int. J. Fract. 19, 311-25 (1982).

DOI: 10.1007/bf00012486

[11] Pluvinage G. : Fracture and Fatigue Emanating from Stress Concentrators, Kluwer Publisher (2003).

[12] Rousserie S : L"amorçage de la fissuration des pipelines en milieu bicarboné à ph neutre. Thèse présentée à l"université de Bordeaux I (2000).