Email this article 
Open Access
Subscription or Fee Access
Plastic Zone and Volumetric Approach-Mixed Mode Fracture I+II Emanating From Notches
(*) Corresponding author
DOI: https://doi.org/10.15866/ireme.v9i2.5279
Abstract
In this paper the criterion based on the notch tangential stress and the volumetric approach has been analysed and improved. Moreover, the impact on pipes under internal pressure is modelled by a notch in a mixed mode fracture (I+II). The defect represented by a blunt notch in the pipe under internal pressure has been considered and an elastic-plastic finite element method is applied to this survey. From the stress distribution constraints identified on the boot and direction given to a critical load, the critical effective distance and the critical effective tangential stress are characterized. Indeed, the critical effective distance is practically similar to the extent of the plastic zone observed in the direction of bifurcation.
Copyright © 2015 Praise Worthy Prize - All rights reserved.
Keywords
References
H. A. Richard “Specimens for investigating biaxial fracture and fatigue processes”; Biaxial and Multiaxial fatigue, Mechanical Engineering Publications, pp. 217-229 (1989).
T. Tamine, C. Chehimi, T. Boukharouba et G. Pluvinage “Crack initiation in pure shear mode II”; ISSN 0556-171Xn, Problems of Strength, Sp. Publ. 1996.
T. Tamine « Amorçage de fissures par fatigue-contact », Thèse de Doctorat, Université de Metz, France (1994).
M. Creager et P. C. Paris « Elastic field equations for blunt cracks with refrence to stress corrosion craking » ; Int. Jour. Of Fract. Mech., Vol. 3, pp 247-252, (1967).
http://dx.doi.org/10.1007/bf00182890
G. R. Irwin “Analysis of stresses and strains near the end of crack traversing a plat”; Journal of Applied Mechanics, Transactions of the A. S. M. E., juin (1957).
G. Pluvinage « Rupture et fatigue amorcée à partir d’entailles –Application du facteur d’intensité d’entaille » Revue française de mécanique, pp 53-61, N° 1997-1.
G. Pluvinage « Notch effect and effective stress in high cycle fatigue », présenté par le laboratoire de fiabilité mécanique, Université de Metz, (1999).
Jones, A. T. (1974) A radially cracked, cylindrical fracture toughness specimen. Eng. Fract. Mech. 6: pp. 435-446.
http://dx.doi.org/10.1016/0013-7944(74)90002-2
A. Buch « Analytical approach to size and notch size effects in fatigue of aircraft material specimens. », Mat. Sc. and Eng. , vol. 15, pp 75-85; (1974).
http://dx.doi.org/10.1016/0025-5416(74)90032-9
Erdogan FF, Sih GC. On the Crack Extension in Plates Under Plane Loading and Transverse Shear. ASME. J. Fluids Eng.. 1963; 85(4), pp. 519-525.
http://dx.doi.org/10.1115/1.3656898
doi:10.1115/1.3656897.
K.H. Benrahou, M. Benguediab, M. Belhouari, M. Nait- Abdelaziz, A. Imad “Estimation of the plastic zone by finite element method under mixed mode (I and II) loading” Computational Materials Science 38, 595–601 (2007)
http://dx.doi.org/10.1016/j.commatsci.2006.04.001
H. El Minor, M. Louah, Z. Azari, G. Pluvinage, A. Kifani “brittle mixed mode fracture I+II: Emanating from notches –equivalent notch stress intensity factor –H”, Transferability of Fracture Mechanical Characteristics Volume 78, 2002, pp 337-350 (2002).
http://dx.doi.org/10.1007/978-94-010-0608-8_24
Y. Weixing “Stress field intensity approach for predicting fatigue life”, Inter. Jour. of Frac., vol. 17, N°4, pp245-251, (1995).
Qylafku, Z. Azari, N. Kadi, M. G.jonaj, G. Pluvinage " Application of a new model proposal for the fatigue life prediction on notches and key-seats" , International Journal of Fatigue , Elsevier, Volume 21/8, pp : 753-760, U. K (1999).
http://dx.doi.org/10.1016/s0142-1123(99)00046-8
F. M. Beremins; Metall. Transaction, Vol. 14 A, pp2287-2296; (1983).
Al Gaoudi, O., El Minor, H., Hilali, E., El Minor, H., Bahraoui, I., Pluvinage, G., Azari, Z., Critical notch stress intensity factor concept for pure mode II, (2014) International Review of Mechanical Engineering (IREME), 8 (3), pp. 524-529.
A. Chacrone, D. Bouami, G. Pluvinage “Pastic zone size and effective distance at notch root”
I. V. Varfolomeev and J. R. Klepaczko, Effect of strain rate on the geometry of the plastic zone near a mode II crack tip. Parametric analysis, Strength of Materials, Vol. 27, No. 3, 1995.
http://dx.doi.org/10.1007/bf02209479
G.R. Irwin, "Plastic zone near a crack and fracture toughness," Proceedings, Seventh Sagamore Conference (1960),pp. IV-63.
B. El Hadim, H. El Minor “Stress triaxiality to evaluate the effective distance in the volumetric approach in fracture mechanics” IOSR-JMCE, Vol. 11, Issue 6 Ver. IV, PP 21- 26(2014)
http://dx.doi.org/10.9790/1684-11642126
Dugdale.S. “Yielding of steel sheets containing slits”, Journal of Mechanical Physics of Solids, vol8, pp 100-104, (1960).
http://dx.doi.org/10.1016/0022-5096(60)90013-2
El Hadim, B., El Minor, H., El Hilali, M., Evaluation of notch stress intensity factor in pipe with external oriented defect, (2011) International Review of Mechanical Engineering (IREME), 5 (1), pp. 7-11.
O. Akourri, I. Elayachi, G. Pluvinage, Stress Triaxiality as Fracture Toughness Transferability Parameter for Notched Specimens, (2007) International Review of Mechanical Engineering (IREME), 1 (6), pp. 675-682.
El-Hadim, B., Ei-Minor, H., El-Hilali, M., Fracture toughness transferability in pipe with external oriented defect, (2011) International Review of Mechanical Engineering (IREME), 5 (5), pp. 804-811.
El minor H., Kifani A., Louah M., Azari Z., Pluvinage G., Fracture toughness of high strength steel—using the notch stress intensity factor and volumetric approach. Structural safety, 2003,vol. 25, no 1, p. 35-45.
http://dx.doi.org/10.1016/s0167-4730(02)00038-3
L. Banks-Sills and D. Sherman, "Elasto-plastic analysis of a mode II fracture specimen," Int. J. Fract., 46, No. 2, 105-122 (1990).
http://dx.doi.org/10.1007/bf00041998
Refbacks
- There are currently no refbacks.
Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize
