The Effect of the Size and Position of the Crack on the Normalized Stress Intensity Factor

  • Mostefa BENDOUBA Laboratory of Quantum Physics of Matter and Mathematical Modeling (LPQ3M), University Mostapha Stambouli-Mascara, Mascara 29000, Algeria
  • Abdelkader DJEBLI Laboratory of Quantum Physics of Matter and Mathematical Modeling (LPQ3M), University Mostapha Stambouli-Mascara, Mascara 29000, Algeria.
  • Abdelghani BALTACH Department of Mechanical Engineering, University of Tiaret, Tiaret, Algeria
  • Ali BENHAMENA Laboratory of Quantum Physics of Matter and Mathematical Modeling (LPQ3M), University Mostapha Stambouli-Mascara, Mascara 29000, Algeria.
  • Amel BOUKHLIF Laboratory of Quantum Physics of Matter and Mathematical Modeling (LPQ3M), University Mostapha Stambouli-Mascara, Mascara 29000, Algeria.
  • Abdelkrim AID Laboratory of Quantum Physics of Matter and Mathematical Modeling (LPQ3M), University Mostapha Stambouli-Mascara, Mascara 29000, Algeria.
Keywords: Finite element method, Normalized stress intensity factor, Nodal displacement extrapolation method, Energy method, Rice integral

Abstract

In this work, finite element method was used to determine the normalized stress intensity factors for different configurations. For this, a 2-D numerical analysis with elastic behavior was undertaken in pure I mode. This simulation was carried out using a numerical calculation code. On the basis of the numerical results obtained from the different models treated, there is a good correlation between the nodal displacement extrapolation method (DEM) and the energy method based on the Rice integral (J) to evaluate the normalized stress intensity factors and this for different crack lengths. For each configuration, the increase in the crack size causes an amplification of normalized intensity stresses fators.

References

A. Griffith., "The phenomena of rupture and flow in solids," Philosophical Transactions of the Royal Society of London, Series A, 221, pp. 163-198, 1920. DOI: https://doi.org/10.1098/rsta.1921.0006.

G.R. Irwin., "Estimates of stress intensily and rivet force for a crack arrested by arivited stiffener. Discussion based on 'Analysis of stress and strains near the end of a crack traversing a plate," Journal of Applied Mechanics, vol. 24, pp. 361-364, 1957.

J.R. Rice., "A path independent integral and approximate analysis of strain concentrations by notches and cracks," Journal of Applied Mechanics, vol. 35, pp. 379-386, 1968. DOI: https://doi.org/10.1115/1.3601206

Stefan-Dan Pastrama, et al, "Weight functions from finite element displacements," International Journal of Pressure Vessels and Piping, vol. 75, pp. 229-236, 1998. DOI: https://doi.org/10.1016/S0308-0161(98)00029-5

A.P. Mouritz., "Introduction to Aerospace Materials," https://www.sciencedirect.com/book/9781855739468

A. Likeb, et al., "The determination of the stress intensity factor solutions for the new pipe-ring specimen using FEA," Archive of Applied Mechanics, vol. 89, No. 5, pp. 897-909, 2019. DOI: https://doi.org/10.1007/s00419-018-1481-8

CP. Andrasic, et al., "Dimensionless stress intensity factors for cracked thick cylinders under polynomial face loadings," Engineering Fracture Mechanics, vol. 19, pp. 187-193, 1984. DOI: https://doi.org/10.1016/0013-7944(84)90078-X

H. Tada, et al., "The analysis of cracks handbook," New York: ASME Press, vol. 2. No.1, 2000

F. Delale, et al., "Stress intensity factors in a hollow cylinder containing a radial crack," International Journal of Fracture, vol. 20, pp. 251-265, 1982.

A.A. Wells., "Unstable crack propagation in metals: cleavage and fast fracture," Proceedings of the crack propagation symposium. 1. Paper 84, 1961. Cranfield, UK

N.K. Mukhopadhyay.," Further considerations in modified crack closure integral based computation of stress intensity factor in BEM," Engineering Fracture Mechanics, vol. 59, No. 3, pp. 269-279, 1998. DOI: https://doi.org/10.1016/S0013-7944(97)00135-5

Oudrane R, Hamouda M, Aour B. The Thermal Transfers of a Habitable Envelope in an Extremely Dry Area and These Effects on Thermal Comfort. Algerian Journal of Renewable Energy and Sustainable Development, 2019, 1(1),79-91. https://doi.org/10.46657/ajresd.2019.1.1.8

A. Djebli, et al., "A 3D analysis of crack-front shape of asymmetric repaired aluminum panels with composite patches."Frattura ed Integrità Strutturale, vol. 13, pp. 547-556, 2019. DOI:https://doi.org/10.3221/IGF-ESIS.49.51.

R.S. Barsoum., "On the Use of Isoparametric Elements in Linear Fracture Mechanics," International Journal for Numerical Methods in Engineering, vol. 10, pp. 25-37, 1976.DOI:https://doi.org/10.1002/nme.1620100103

N.D. Hung, et al., "The computation of 2-d stress intensity factors using hybrid mongrel displacement finite elements," Engineering Fracture Mechanics, vol. 38, pp. 197-205, 1991. DOI: https://doi.org/10.1016/0013-7944(91)90082-C.

A. Baltach, et al., "Numerical Analysis of Asymmetrically Bonded Composite Patch Repair and Effect of In-Plane Skewed Crack Front on the SIF," International Journal of Engineering Research in Africa, vol. 30, pp. 11-22. Trans Tech Publications Ltd, 2017. DOI: https://doi.org/10.4028/www.scientific.net/JERA.30.11

M. Treifi, et al., "Strain energy approach to compute stress intensity factors for isotropic homogeneous and bi-material V-notches," International Journal of Solids and Structures, vol. 50, pp. 2196-2212, 2013. DOI: https://doi.org/10.1016/j.ijsolstr.2013.03.011

Z.J. Yang, et al., "Efficient evaluation of stress intensity factors using virtual crack extension technique," Computers & Structures, vol. 79, pp. 2705-2715, 2001. DOI: https://doi.org/10.1016/S0045-7949(01)00146-8

Published
2020-06-15
How to Cite
BENDOUBAM., DJEBLIA., BALTACHA., BENHAMENAA., BOUKHLIFA., & AIDA. (2020). The Effect of the Size and Position of the Crack on the Normalized Stress Intensity Factor. Algerian Journal of Renewable Energy and Sustainable Development, 2(01), 1-8. https://doi.org/10.46657/ajresd.2019.2.1.1
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Articles