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Fatigue Precracking Time Estimates for Three-Point Bending Specimens

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Abstract

Specimens containing sharp cracks are needed in certain types of mechanical tests, first and foremost for fracture toughness measurement of materials. Their use, however, is not just limited to this type of test. Another category of experiments deals with characterizing nonlinear vibrations of beams containing breathing cracks. To produce cracked beam specimens, fatigue cracks can be grown ahead of sharp notches under controlled loading. ASTM E399 and ASTM E1820 standards provide guidance on such procedures for preparation of fracture toughness test specimens. However, certain issues which might become important in testing of vibrations of cracked beams, such as the time required for specimen preparation is not addressed in these standards. In this article, both low cycle fatigue methods and linear elastic fracture mechanics methods are used to estimate the number of loading cycles required to have a crack of desired length at the notch tip. Calculation results are compared with experimental ones, and the effects of various factors influencing the required number of loading cycles for a certain crack size are discussed.

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References

  1. M. Benachour, M. Benguediab, N. Benachour, Notch fatigue crack initiation and propagation life under constant amplitude loading through residual stress field. Adv. Mater. Res. 682, 17–24 (2013). https://doi.org/10.4028/www.scientific.net/AMR.682.17

    Article  Google Scholar 

  2. A.K. Baliarsingh, Prediction of Fatigue Crack Propagation Life in Single Edge Notched Beams Using Exponential Model (National Inistitute of Technology Rourkela, Rourkela, 2013)

    Google Scholar 

  3. A.D. Dimarogonas, Vibration of cracked structures: a state of the art review. Eng. Fract. Mech. 55, 831–857 (1996). https://doi.org/10.1016/0013-7944(94)00175-8

    Article  Google Scholar 

  4. M. Krawzcuk, W. Ostachowitz, Damage indicators for diagnostic of fatigue cracks in structures by vibration measurements—a survey. J. Theor. Appl. Mech. 34, 307–326 (1996)

    Google Scholar 

  5. O.S. Salawu, Detection of structural damage in frequency: detection through changes a review. Eng. Struct. 19, 718–723 (1997). https://doi.org/10.1016/S0141-0296(96)00149-6

    Article  Google Scholar 

  6. A. Bovsunovsky, C. Surace, Non-linearities in the vibrations of elastic structures with a closing crack: a state of the art review. Mech. Syst. Signal Process. 62, 129–148 (2015). https://doi.org/10.1016/j.ymssp.2015.01.021

    Article  Google Scholar 

  7. T.G. Chondros, A.D. Dimarogonas, J. Yao, Vibration of a beam with a breathing crack. J. Sound Vib. 239, 57–67 (2001). https://doi.org/10.1006/jsvi.2000.3156

    Article  Google Scholar 

  8. P. Cawley, R. Ray, A Comparison of the natural frequency changes produced by cracks and slots. J. Vib. Acoust. Stress Reliab Des. 110, 366 (1988). https://doi.org/10.1115/1.3269527

    Article  Google Scholar 

  9. U. Andreaus, P. Baragatti, Fatigue crack growth, free vibrations, and breathing crack detection of aluminium alloy and steel beams. J. Strain Anal. Eng. Des. 44, 595–608 (2009). https://doi.org/10.1243/03093247JSA527

    Article  Google Scholar 

  10. U. Andreaus, P. Baragatti, Experimental damage detection of cracked beams by using nonlinear characteristics of forced response. Mech. Syst. Signal Process. 31, 382–404 (2012). https://doi.org/10.1016/j.ymssp.2012.04.007

    Article  Google Scholar 

  11. D. Broda, L. Pieczonka, V. Hiwarkar et al., Generation of higher harmonics in longitudinal vibration of beams with breathing cracks. J. Sound Vib. 381, 206–219 (2016). https://doi.org/10.1016/j.jsv.2016.06.025

    Article  Google Scholar 

  12. A. Alipour Ghasabi, Fatigue Pre-cracking Life Estimation for Fracture Toughness Test Specimens (Middle East Technical University, Ankara, 2018)

    Google Scholar 

  13. G.E. Carr, L.F. Jaureguizahar, M.D. Chapetti, Analysis of breathing cracks using vibrations. Exp. Tech. 37, 32–40 (2013). https://doi.org/10.1111/j.1747-1567.2012.00816.x

    Article  Google Scholar 

  14. Ralph I. Stephens, A. Fatemi, Robert R. Stephens, Henry O. Fuchs, Metal Fatigue in Engineering, vol. 2 (Wiley, New York, 2000)

    Google Scholar 

  15. T.H. Topper, R.M. Wetzel, J. Morrow, Neuber’s Rule Appplied to Fatigue of Notched Specimens (U.S. Naval Air Engineering Center, Philadelphia, Pennsylvania, 1967)

    Book  Google Scholar 

  16. N.E. Dowling, Mechanical Behavior of Materials, 4th edn. (Pearson Education, New York, 2013)

    Google Scholar 

  17. H. Neuber, Theory of stress concentration for shear-strained prismatical bodies with arbitrary nonlinear stress–strain law. J. Appl. Mech. 28, 544–550 (1961). https://doi.org/10.1115/1.3641780

    Article  Google Scholar 

  18. L.P. Borrego, J.M. Ferreira, J.M. Pinho da Cruz, J.M. Costa, Evaluation of overload effects on fatigue crack growth and closure. Eng. Fract. Mech. 70, 1379–1397 (2003). https://doi.org/10.1016/S0013-7944(02)00119-4

    Article  Google Scholar 

  19. S.R. Alfredo, M.P.J. de Abílio, Fatigue behaviour of welded joints made of 6061-T651 aluminium alloy. InTech Alum. Alloy Theory Appl. (2011). https://doi.org/10.5772/14489

    Article  Google Scholar 

  20. D. Pósalaky, J. Lukács, The properties of welded joints made by 6082-T6 aluminium alloy and their behaviour under cyclic loading conditions. Mater. Sci. Forum 812, 375–380 (2015). https://doi.org/10.4028/www.scientific.net/MSF.812.375

    Article  Google Scholar 

  21. VISHAY PRESICION GROUP (2014) Crack Propagation Patterns Special Use Sensors—Crack Propagation Sensors. pp. 1–3

  22. RUMUL. http://www.rumul.ch/250_products.php?lang_choose=1. Accessed 10 May 2018

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Acknowledgment

This work is supported by TÜBİTAK (The Scientific and Technological Research Council of Turkey) Grant No 214M065, Project title “An experimental investigation on vibration of cracked beams”

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Correspondence to A. Alipour Ghasabi.

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Alipour Ghasabi, A., Motameni, A. & Kadioglu, S. Fatigue Precracking Time Estimates for Three-Point Bending Specimens. J Fail. Anal. and Preven. 19, 1275–1285 (2019). https://doi.org/10.1007/s11668-019-00722-x

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