Journal of Failure Analysis and Prevention

, Volume 16, Issue 3, pp 506–512 | Cite as

Investigation of Mesh Sensitivity Influence to Determine Crack Characteristic by Finite Element Methods

  • Majid Azimi
  • Seyed Sajad Mirjavadi
  • Seyed Ali Asli
Technical Article---Peer-Reviewed


In this research, an extended finite element model has been investigated. Investigation of opening and closure stress always has been one of the difficult parameters to analysis of results; therefore, the utilization of finite element methods would be a good and logical alternative for this purpose. In addition, linear elastic fracture criteria are used for validation of numerical results from the simulation. In this work, a detailed analysis of the influence of different parameters in the results of a specific specimen with a semi-elliptical tooling groove in terms of closure and opening stress is presented, and the impact of optimum element size in fracture characteristic in various load cycles has been discussed.


XFEM LEFM Semi-elliptical groove Optimum element size Fracture mechanics 


  1. 1.
    R. Goldstein, N. Osipenko, Influence of the form of material structure elements on the fracture scenario in a complex stress state. Mech. Solids 50(2), 147–159 (2015)CrossRefGoogle Scholar
  2. 2.
    R.K. Bhagat, V. Singh, Effect of specimen geometry on stress intensity factors of inclined crack by finite element method. J. Fail. Anal. Prev. 13(4), 463–469 (2013)CrossRefGoogle Scholar
  3. 3.
    M. Zamanzadeh, E. Larkin, R. Mirshams, Fatigue failure analysis case studies. J. Fail. Anal. Prev. 15, 803–809 (2015)CrossRefGoogle Scholar
  4. 4.
    R.I. Stephens et al., Metal fatigue in engineering (Wiley, New York, 2000)Google Scholar
  5. 5.
    A. Demeshkin, E. Karpov, V. Kornev, Damage accumulation in specimens with edge crack in the prefracture region under nonstationary few-cycle loading. Mech. Solids 46(4), 610–621 (2011)CrossRefGoogle Scholar
  6. 6.
    N. Bourago, A. Zhuravlev, I. Nikitin, Models of multiaxial fatigue fracture and service life estimation of structural elements. Mech. Solids 46(6), 828–838 (2011)CrossRefGoogle Scholar
  7. 7.
    W. Elber, The significance of fatigue crack closure, in Damage Tolerance in Aircraft Structures, ASTM STP 486 (American Society for Testing and Materials, 1971), pp. 230–242Google Scholar
  8. 8.
    A. González-Herrera, J. Zapatero, Influence of minimum element size to determine crack closure stress by the finite element method. Eng. Fract. Mech. 72(3), 337–355 (2005)CrossRefGoogle Scholar
  9. 9.
    N.A. Fleck, J.C. Newman Jr, Analysis of crack closure under plane strain conditions, in Mechanics of Fatigue Crack Closure, ASTM STP 982 (American Society for Testing and Materials, 1988), pp. 319–341Google Scholar
  10. 10.
    R. Chermahini, K. Shivakumar, J. Newman Jr, Three-dimensional finite-element simulation of fatigue crack growth and closure. ASTM STP 982: 398–413 (1988)Google Scholar
  11. 11.
    L.-W. Wei, M.N. James, A study of fatigue crack closure in polycarbonate CT specimens. Eng. Fract. Mech. 66(3), 223–242 (2000)CrossRefGoogle Scholar
  12. 12.
    J. Dougherty, J. Padovan, T. Srivatsan, Fatigue crack propagation and closure behavior of modified 1070 steel: finite element study. Eng. Fract. Mech. 56(2), 189–212 (1997)CrossRefGoogle Scholar
  13. 13.
    J.-Z. Zhang, J.-Z. Zhang, S.Y. Du, Elastic–plastic finite element analysis and experimental study of short and long fatigue crack growth. Eng. Fract. Mech. 68(14), 1591–1605 (2001)CrossRefGoogle Scholar
  14. 14.
    J. Cao et al., Crack modeling in FE analysis of circular tubular joints. Eng. Fract. Mech. 61(5), 537–553 (1998)CrossRefGoogle Scholar
  15. 15.
    J. Zhang, P. Bowen, On the finite element simulation of three-dimensional semi-circular fatigue crack growth and closure. Eng. Fract. Mech. 60(3), 341–360 (1998)CrossRefGoogle Scholar
  16. 16.
    A. Gullerud et al., Three-dimensional modeling of ductile crack growth in thin sheet metals: computational aspects and validation. Eng. Fract. Mech. 63(4), 347–374 (1999)CrossRefGoogle Scholar
  17. 17.
    K. Donald, P.C. Paris, An evaluation of ΔK eff estimation procedures on 6061-T6 and 2024-T3 aluminum alloys. Int. J. Fatigue 21, S47–S57 (1999)CrossRefGoogle Scholar
  18. 18.
    Y. Wu, J. Schijve, Fatigue crack closure measurements On 2024‐T3 sheet specimens. Fatigue Fract. Eng. Mater. Struct. 18(9), 917–921 (1995)Google Scholar
  19. 19.
    Newman, J.C., Finite-element analysis of fatigue crack propagation, including the effects of crack closure, in Blacksburg. 1974Google Scholar
  20. 20.
    J.C. Newman Jr, A finite element analysis of fatigue crack closure, in Mechanics of Crack Growth, STP 490 (American Society for Testing and Materials, 1976), pp. 281–301Google Scholar
  21. 21.
    R. McClung, H. Sehitoglu, On the finite element analysis of fatigue crack closure—1 basic modeling issues. Eng. Fract. Mech. 33(2), 237–252 (1989)CrossRefGoogle Scholar
  22. 22.
    R. McClung, H. Sehitoglu, On the finite element analysis of fatigue crack closure—2 Numerical results. Eng. Fract. Mech. 33(2), 253–272 (1989)CrossRefGoogle Scholar
  23. 23.
    R. McClung, Crack closure and plastic zone sizes in fatigue. Fatigue Fract. Eng. Mater. Struct. 14(4), 455–468 (1991)CrossRefGoogle Scholar
  24. 24.
    R. McClung, B. Thacker, S. Roy, Finite element visualization of fatigue crack closure in plane stress and plane strain. Int. J. Fract. 50(1), 27–49 (1991)Google Scholar
  25. 25.
    R. McClung, Finite element modeling of crack closure during simulated fatigue threshold testing. Int. J. Fract. 52(2), 145–157 (1991)Google Scholar
  26. 26.
    H. Sehitoglu, W. Sun, Modeling of plane strain fatigue crack closure. J. Eng. Mater. Technol. 113(1), 31–40 (1991)CrossRefGoogle Scholar
  27. 27.
    W. Sun, H. Sehitoglu, Residual stress fields during fatigue crack growth. Fatigue Fract. Eng. Mater. Struct. 15(2), 115–128 (1992)CrossRefGoogle Scholar
  28. 28.
    Weaver, C.M., Terhune, R., Peterson, B., Analysis of fatigue life estimate for the m119 cradle assembly with a gouge cut defect, in SIMULIA Community Conference 2012Google Scholar
  29. 29.
    F. Ellyin, J. Wu, A numerical investigation on the effect of an overload on fatigue crack opening and closure behaviour. Fatigue Fract. Eng. Mater. Struct. 22(10), 835–847 (1999)CrossRefGoogle Scholar
  30. 30.
    J. Wu, F. Ellyin, A study of fatigue crack closure by elastic-plastic finite element analysis for constant-amplitude loading. Int. J. Fract. 82(1), 43–65 (1990)CrossRefGoogle Scholar
  31. 31.
    Levén, M. and R. Daniel, Stationary 3D crack analysis with Abaqus XFEM for integrity assessment of subsea equipment. 2012Google Scholar

Copyright information

© ASM International 2016

Authors and Affiliations

  • Majid Azimi
    • 1
  • Seyed Sajad Mirjavadi
    • 2
  • Seyed Ali Asli
    • 3
  1. 1.School of Mechanical Engineering, College of EngineeringSharif University of TechnologyTehranIran
  2. 2.School of Mechanical Engineering, College of EngineeringUniversity of TehranTehranIran
  3. 3.School of Mechanical Engineering, College of EngineeringIran University of Science and TechnologyTehranIran

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