Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

A new finite element procedure for fatigue life prediction of AL6061 plates under multiaxial loadings

  • Tarar, Wasim (Department of Aerospace Engineering, The Ohio State University) ;
  • Herman Shen, M.H. (Department of Aerospace Engineering, The Ohio State University) ;
  • George, Tommy (Air Force Research Laboratory Wright-Patterson AFB) ;
  • Cross, Charles (Air Force Research Laboratory Wright-Patterson AFB)
  • Received : 2008.02.21
  • Accepted : 2010.02.24
  • Published : 2010.07.30
⟨ Previous Next ⟩

Abstract

An energy-based fatigue life prediction framework was previously developed by the authors for prediction of axial, bending and shear 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 the first part of this study, energy expressions that construct the constitutive law are equated in the form of total strain energy and the distortion energy dissipated in a fatigue cycle. The resulting equation is further evaluated to acquire the equivalent stress per cycle using energy based methodologies. The equivalent stress expressions are developed both for biaxial and multiaxial fatigue loads and are used to predict the number of cycles to failure based on previously developed prediction criterion. The equivalent stress expressions developed in this study are further used in a new finite element procedure to predict the fatigue life for two and three dimensional structures. In the second part of this study, a new Quadrilateral fatigue finite element is developed through integration of constitutive law into minimum potential energy formulation. This new QUAD-4 element is capable of simulating biaxial fatigue problems. The final output of this finite element analysis both using equivalent stress approach and using the new QUAD-4 fatigue element, is in the form of number of cycles to failure for each element on a scale in ascending or descending order. Therefore, the new finite element framework can provide the number of cycles to failure at each location in gas turbine engine structural components. In order to obtain experimental data for comparison, an Al6061-T6 plate is tested using a previously developed vibration based testing framework. The finite element analysis is performed for Al6061-T6 aluminum and the results are compared with experimental results.

Keywords

References

  1. Chandraputla, T.R. and Belegunda, A.D. (2002), Introduction to Finite Elements in Engineering, Prentice-Hall, Inc.
  2. Collins, J.A. (2003), Mechanical Design of Machine Elements and Machines, John Willey and Sons.
  3. Desktop Engineering (DE), http://www.deskeng.com
  4. Enomoto, N. (1955), "On fatigue tests under progressive stress", Proc. Am. Soc. Test. Mater., 55, 903-917.
  5. Feltner, C.E. and Morrow, J.D. (1961), "Micro plastic strain hysteresis energy as a criterion for fatigue facture", J. Basic Eng., Tran. ASME, 83, 15-22. https://doi.org/10.1115/1.3658884
  6. Fermer, M. and Svensson, H. (2001), "Industrial experiences of FE-based fatigue life predictions of welded automotive structures", Fatigue Fract. Eng. M., 24(7), 489-500. https://doi.org/10.1046/j.1460-2695.2001.00409.x
  7. 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
  8. 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
  9. 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
  10. Goodman, J. (1899), Mechanics Applied to Engineering, Longmans, Green and Co., London.
  11. 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.
  12. 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. M., 28(3), 333-342. https://doi.org/10.1111/j.1460-2695.2005.00881.x
  13. LMS Engineering Innovations, http://www.lmsintl.com
  14. Masud, A. and Khurram, R.A. (2004), "Multiscale finite element method for the incompressible navier-stokes equations", Comput. Meth. Appl. Mech. Eng., 193, 21-22.
  15. McClintock, F.A. and Argon, A.S. (1966), Mechanical Behavior of Material, Addison Wesley.
  16. Meirovitch, L. (2001), Fundamentals of Vibration, McGraw-Hill Company, New York.
  17. Miyano, T. (2003), "High cycle fatigue specimen topology design", MS Thesis, The Ohio State University.
  18. MSC Software, http://www.mscsoftware.com
  19. 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
  20. Nicholas, T. and Maxwell, D. (2002), "Mean stress effects on the high cycle fatigue limit stress in Ti-6Al-4V", Fatigue Fract. Mech., ASTM STP 1417, 33, 476-492.
  21. Papanikos, P., Tserpes, K.I. and Pantelakis, S.P. (2003), "Modeling of fatigue damage progression and life of CFRP laminates", Fatigue Fract. Eng. M., 26(1), 37-47. https://doi.org/10.1046/j.1460-2695.2003.00585.x
  22. Reddy, J.N. (1984), An Introduction to the Finite Element Methods, McGraw-Hill Book Company, New York.
  23. Reddy, J.N. (2004), An Introduction to Non-Linear Finite Element Analysis, Oxford University Press, New York.
  24. Salvini, P., Cardecchhia, E. and Emofonti, G. (1997), "A procedure for fatigue life prediction of spot welded joints", Fatigue Fract. Eng. M., 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", Graduate Program of Mechanical Engineering, 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. Stowell, E. (1996), "A study of the energy criterion for fatigue", Nucl. Eng. Des., 3, 32-40.
  28. Sumi, Y., Mohri, M. and Kawamura, Y. (2005), "Computational prediction of fatigue crack paths in ship structural details", Fatigue Fract. Eng. M., 28(1-2), 107-115. https://doi.org/10.1111/j.1460-2695.2004.00850.x
  29. Tarar, W. (2008), "A new finite element procedure for fatigue life prediction and high strain rate assessment of AHSS", PhD Dissertation, The Ohio State University.
  30. Tarar, W., Scott-Emuakpor, O. and Shen, M.H. (2007), "A new finite element for gas turbine engine fatigue life prediction", Proceedings of ASME/IGTI Turbo Expo, GT2007-27427.

Cited by

  1. A modified closed form energy-based framework for fatigue life assessment for aluminum 6061-T6: Strain range approach vol.25, pp.5, 2016, https://doi.org/10.1177/1056789516635726
  2. Structural design of transom pod for outboard motor in polyethylene boat vol.31, pp.12, 2017, https://doi.org/10.1007/s12206-017-1118-9
  3. Strain Rate and Loading Waveform Effects on an Energy-Based Fatigue Life Prediction for AL6061-T6 vol.136, pp.2, 2013, https://doi.org/10.1115/1.4025497
  4. A Modified Closed Form Energy Based Framework for Fatigue Life Assessment for Aluminum 6061-T6-Damaging Energy Approach vol.137, pp.2, 2010, https://doi.org/10.1115/1.4029532
  5. Lifetime seismic performance assessment of high-rise steel-concrete composite frame with buckling-restrained braces under wind-induced fatigue vol.77, pp.2, 2010, https://doi.org/10.12989/sem.2021.77.2.197