Structural Engineering and Mechanics

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Development of new finite elements for fatigue life prediction in structural components

  • Tarar, Wasim (Department of Mechanical and Aerospace Engineering, The Ohio State University) ;
  • Scott-Emuakpor, Onome (Department of Mechanical and Aerospace Engineering, The Ohio State University) ;
  • Herman Shen, M.H. (Department of Mechanical and Aerospace Engineering, The Ohio State University)
  • Received : 2007.11.07
  • Accepted : 2007.02.24
  • Published : 2010.08.20
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Abstract

An energy-based fatigue life prediction framework was previously developed by the authors for prediction of axial and bending fatigue life at various stress ratios. The framework for the prediction of fatigue life via energy analysis was based on a new constitutive law, which states the following: the amount of energy required to fracture a material is constant. In this study, the energy expressions that construct the new constitutive law are integrated into minimum potential energy formulation to develop new finite elements for uniaxial and bending fatigue life prediction. The comparison of finite element method (FEM) results to existing experimental fatigue data, verifies the new finite elements for fatigue life prediction. The final output of this finite element analysis is in the form of number of cycles to failure for each element in ascending or descending order. Therefore, the new finite element framework can provide the number of cycles to failure for each element in structural components. The performance of the fatigue finite elements is demonstrated by the fatigue life predictions from Al6061-T6 aluminum and Ti-6Al-4V. Results are compared with experimental results and analytical predictions.

Keywords

References

  1. Beretta, S. and Sala, G. (2005), "A model for fatigue strength of welded lap joints", Fatigue Fract. Eng. Mater. Struct., 28(1-2), 257-264. https://doi.org/10.1111/j.1460-2695.2004.00849.x
  2. Desktop Engineering (DE), Fatigue Analysis Manual, http://www.deskeng.com
  3. Enomoto, N. (1955), "On fatigue tests under progressive stress", Proc. ASTM, 55, 903-915.
  4. Feltner, C.E. and Morrow, J.D. (1960), "Micro plastic strain hysteresis energy as a criterion for fatigue facture", Trans., ASME, J. Basic Eng., Paper No. 60-MET-2.
  5. Fermer, M. and Svensson, H. (2001), "Industrial experiences of FE-based fatigue life predictions of welded automotive structures", Fatigue Fract. Eng. Mater. Struct., 24(7), 489-500. https://doi.org/10.1046/j.1460-2695.2001.00409.x
  6. George, T., Seidt, J., Shen, M.H.H., Cross, C. and Nicholas, T. (2004), "Development of a novel vibration-based fatigue testing methodology", Int. J. Fatigue, 26(5), 477-486. https://doi.org/10.1016/j.ijfatigue.2003.10.012
  7. George, T., Shen, M.H.H., Cross, C. and Nicholas, T. (2006), "A new multiaxial fatigue testing method for variable-amplitude loading and stress ratio", J. Eng. Gas Turb. Power, 128, 857-864. https://doi.org/10.1115/1.1788687
  8. George, T., Shen, M.H.H., Scott-Emuakpor, O., Cross, C., Nicholas, T. and Calcaterra, J. (2005), "Goodman diagram via vibration-based fatigue testing", J. Eng. Mater. Technol., 127(1), 58-64. https://doi.org/10.1115/1.1836791
  9. Goodman, J. (1899), Mechanics Applied to Engineering, Longmans, Green and Co., London.
  10. Khurram, R.A. and Masud, A. (2006), "A multiscale/stablized formulation of the incompressible navier-stokes equations for moving boundary flows and fluid structure interaction", Comput. Mech., 38, 4-5.
  11. Lee, H.J. and Song, J.H. (2005), "Finite-element analysis of fatigue crack closure under plane strain conditions: stabilization behavior and mesh size effect", Fatigue Fract. Eng. Mater. Struct., 28(3), 333-342. https://doi.org/10.1111/j.1460-2695.2005.00881.x
  12. LMS Engineering Innovations, Fatigue Analysis Manual, http://www.lmsintl.com
  13. Mackaldener, M. and Olsson, M. (2001), "Interior fatigue fracture of gear teeth fatigue", Fatigue Fract. Eng. Mater. Struct., 23(4), 283-292.
  14. Masud, A. and Khurram, R.A. (2004), "A multiscale finite element method for the incompressible navier-stokes equations", Comput. Meth. Appl. Mech. Eng., 193, 21-22.
  15. MSC Software, Fatigue Analysis Manual, http://www.mscsoftware.com
  16. Nicholas, T. (1999), "Critical issues in high cycles fatigue", Int. J. Fatigue., 21, 221-231. https://doi.org/10.1016/S0142-1123(99)00074-2
  17. Nicholas, T. and Maxwell, D. (2003), "Mean stress effects on the high cycle fatigue limit stress in Ti-6Al-4V", Fatigue Fract. Mech., ASTM STP 1417, 33, 476-492, ASTM STP 1417.
  18. Papanikos, P. and Meguid, S.A. (1994), "Theoretical and experimental studies of fretting-initiated fatigue failure of aero engine compressor discs", Fatigue Fract. Eng. Mater. Struct., 17(5), 539-550. https://doi.org/10.1111/j.1460-2695.1994.tb00253.x
  19. Papanikos, P., Tserpes, K.I. and Pantelakis, S.P. (2003), "Modeling of fatigue damage progression and life of CFRP laminates", Fatigue Fract. Eng. Mater. Struct., 26(1), 37-47. https://doi.org/10.1046/j.1460-2695.2003.00585.x
  20. Park, S.J., Earmme, Y.Y. and Song, J.H. (1997), "Determination of the most appropriate mesh size for a 2-d finite element analysis of fatigue crack closure behavior", Fatigue Fract. Eng. Mater. Struct., 20(4), 533-545. https://doi.org/10.1111/j.1460-2695.1997.tb00285.x
  21. Reddy, J.N. (1984), An Introduction to the Finite Element Methods, McGraw-Hill Book Company, New York.
  22. Reddy, J.N. (2004), An Introduction to Non-Linear Finite Element Analysis, Oxford University Press, New York.
  23. Ritchie, R.O., Yu, W., Blom, A.F. and Holm, D.K. (1987), "An analysis of crack tip shielding in aluminum Alloy 2124: A comparison of large, small, through-thickness and surface fatigue cracks", Fatigue Fract. Eng. Mater. Struct., 10(5), 343-362. https://doi.org/10.1111/j.1460-2695.1987.tb00485.x
  24. Salvini, P., Cardecchhia, E. and Emofonti, G. (1997), "A procedure for fatigue life prediction of spot welded joints", Fatigue Fract. Eng. Mater. Struct., 20(8), 1117-1128. https://doi.org/10.1111/j.1460-2695.1997.tb00317.x
  25. Scott-Emuakpor, O. (2007), "Development of a noval energy based method for multiaxial fatigue strength assessment", The Ohio State University.
  26. Scott-Emuakpor, O., Shen, M.H.H., Cross, C., Calcaterra, J. and George, T. (2007), "Development of an improved high cycle fatigue criterion", J. Eng. Gas Turb. Power, 129, 162-169. https://doi.org/10.1115/1.2360599
  27. Shang, D.G. and Barkey, M.E. (2006), "Analysis of fatigue crack behavior based on dynamic response simulations and experiments for tensile-shear spot-welded joints", Fatigue Fract. Eng. Mater. Struct., 29(1), 23-30. https://doi.org/10.1111/j.1460-2695.2006.00955.x
  28. Stowell, E. (1996), "A study of the energy criterion for fatigue", Nucl. Eng. Des., 3, 32-40.
  29. Sumi, Y., Mohri, M. and Kawamura, Y. (2005), "Computational prediction of fatigue crack paths in ship structural details", Fatigue Fract. Eng. Mater. Struct., 28(1-2), 107-115. https://doi.org/10.1111/j.1460-2695.2004.00850.x

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