Mixed-Mode Crack Propagation in Cruciform Joint using Franc2D
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Abstract
The focus of this research was on determining the cracking behavior when parameter such as the biaxiality ratio was varied. The crack propagation under mixed-mode loading was simulated by means of finite element method. The stress intensity factors have been calculated by the linear elastic fracture mechanics approach using fracture analysis code-2D (Franc2D). The crack growth under opening mode-I was considered because the crack growth occurs mainly along the direction where the mode-I stress component becomes the maximum. The numerical integration of Paris’ equation was carried out. The effect of normal and transverse applied load (σ x, and σ y, respectively) on crack propagation was presented. It was found that the fatigue crack growth was faster at a smaller biaxial stress ratio (λ), i.e., higher σ y on the horizontal crack plan. Moreover, fatigue strength values decrease as λ decreases. The results confirm the use of fracture mechanics approach in biaxial fracture.
Keywords
Biaxial fatigue Biaxial stress ratio Cruciform joint Franc2D Mixed-mode fractureNotes
Acknowledgments
The author would like to thankfully appreciate the support received from the Technische Universität Bergakademie Freiberg, Faculty of Materials Science and Technology. The fruitful discussions with Prof. Dr.-Ing. habil. H. Biermann, and Dr.-Ing. S. Henkel, are also gratefully acknowledged. The kind support from Prof. Dr. habil. Broder J. Merkel, TU Freiberg, is highly appreciated.
References
- 1.A.M. Al-Mukhtar, The safety analysis concept of welded components under cyclic loads using fracture mechanics method. PhD thesis, TUBA Freiberg, Institute of Materials Engineering, 2010Google Scholar
- 2.A.M. Al-Mukhtar, H. Biermann, P. Hübner, S. Henkel, Determination of some parameters for fatigue life in welded joints using fracture mechanics method. J. Mater. Eng. Perform. 19(9), 1225–1234 (2010)CrossRefGoogle Scholar
- 3.A.M. Al-Mukhtar, H. Biermann, P. Hübner, S. Henkel, Comparison of the stress intensity factor of load-carrying cruciform welded joints with different geometries. J. Mater. Eng. Perform. 19(6), 802–809 (2010)CrossRefGoogle Scholar
- 4.A.M. Al-Mukhtar, H. Biermann, P. Hübner, and S. Henkel, Fatigue life prediction of fillet welded cruciform joints based on fracture mechanics method, in Proceeding of the 2nd Int Conference on Fatigue and Fracture in the Infrastructure Philadelphia, USA, 26–29 July 2009Google Scholar
- 5.A.M. Al-Mukhtar, H. Biermann, P. Hübner, S. Henkel, A finite element calculation of stress intensity factors of cruciform and butt welded joints for some geometrical parameters. J. Mech. Ind. Eng. (JJMIE) 3(4), 236–245 (2009)Google Scholar
- 6.A.M. Al-Mukhtar, H. Biermann, P. Hübner, and S. Henkel, Fatigue Crack Propagation Life Calculation in Welded Joints, in Proceeding of the International Conference on Crack Paths (CP 2009), pp. 391–397, Italy, 23–25 September 2009Google Scholar
- 7.A.M. Al-Mukhtar, H. Biermann, P. Hübner, S. Henkel, The effect of weld profile and geometries of butt weld joints on fatigue life under cyclic tensile loading. J. Mater. Eng. Perform. 20(8), 1385–1391 (2011)CrossRefGoogle Scholar
- 8.M. Kariya, K. Hatana, Influences of compression pre-strain on tensile fatigue in two type of aluminum alloys. J. Mater. Eng. Perform. 19(8), 1205 (2010)CrossRefGoogle Scholar
- 9.I.-T. Kim, K. Yamada, and K. Ito, Fatigue behavior of inclined non-load-carrying fillet welded joints; in Proceedings of JSCE (Japan Society of Civil Engineers), NO. 682; pp. 383–390, 2001Google Scholar
- 10.P.K. Ghosh, S.R. Gupta, P.C. Gupta, R. Rathi, Fatigue characteristics of pulsed MIG welded Al-Zn-Mg alloy. J. Mater. Sci. 26, 6161–6170 (1991)CrossRefGoogle Scholar
- 11.J.M. Light and A.H. Frank, Tensile fatigue tests of pipe butt welds and analysis of proposed stress shadowing grooves. MSc Thesis, University of Texas at Austen, PMFSEL 93-1, Jan 1993.Google Scholar
- 12.A. Varvani-Farahani, M.R. Kianoush, M. Sharma, Fatigue failure assessment of engineering components under service loading conditions. Mater. Des. 28, 575–580 (2007)CrossRefGoogle Scholar
- 13.X.-D. Wu, M. Wan, X.-B. Zhou, Biaxial tensile testing of cruciform specimen under complex loading. J. Mater. Process. Technol. 168(1), 181–183 (2005). doi: 10.1016/j.jmatprotec.2004.11.003 CrossRefGoogle Scholar
- 14.M. Kikuchi, Fatigue crack growth simulation under mode I+II mixed mode condition, Department of Mechanical Engineering, Faculty of science and technology, Science University of Tokyo, Transaction, SMiRT 16, Washington DC, 2001Google Scholar
- 15.V.N. Shlyannikov, Elastic-Plastic Mixed-Mode Fracture Criteria and Parameters. Lecture Notes in Applied Mechanics (Springer, Berlin, 2003)CrossRefGoogle Scholar
- 16.B.V. Ilchenko, K. Ramesh, V.N Shlyannikov, R.A. Sitdikov, R. Sunder and G. Vivek, System for Automated Fatigue Crack Growth Testing under Biaxial Loadingunder Mode I, Italy, ICMFF9, 2010Google Scholar
- 17.F. Erdogan, G.C. Sih, On the crack extension in plates under plane loading and transverse shear. J. Basic. Eng. Trans. ASME D 85, 519–527 (1963)CrossRefGoogle Scholar
- 18.Cornell Fracture Group, FRANC2D Version 3.2, http://www.cfg.cornell.edu
- 19.A. Hannon, P. Tiernan, A review of planar biaxial tensile test systems for sheet metal. J. Mater. Process. Technol. 198(1–3), 1–13 (2008). doi: 10.1016/j.jmatprotec.2007.10.015 CrossRefGoogle Scholar
- 20.Matweb, http://www.matweb.com/index.aspx
- 21.H. Kitagawa, R. Yuuki, A fracture mechanics approach to high-cycle fatigue crack growth under in-plane biaxial loads. Fatigue Eng. Mater. Struct. 2, 195–206 (1979)CrossRefGoogle Scholar
- 22.Cornell Fracture Group, FRANC2D, Version 3.2, http://www.cfg.cornell.edu, 2007
- 23.U. Eun and R. Taylor, Biaxial Fatigue of Aluminum alloy 1100, Italy, ICMFF9, 2010Google Scholar
- 24.L.P. Pook, Five decades of crack path research. Eng. Fract. Mech. 77, 1619–1630 (2010)CrossRefGoogle Scholar