Abstract
The significant risks associated with the occurrence of mechanical cracks in engineering applications are investigated in this paper. In particular, the specific type of crack propagation that results from mixed mode loading (modes I and II), which spreads throughout most structures, and the conditions under which it can occur are presented. Following the linear elastic fracture mechanics theory, non-proportional loading on specimens of aluminium alloy was accomplished by applying constant tensile loads in conjunction with periodic shear loads. A theoretical equation for the dynamic crack growth rate was constructed using Griffiths law for mixed mode I/II of the dynamic crack growth. This equation considers the influence of dynamic crack propagation. Experimentally, a locally designed laboratory apparatus was modified to suit the nature of the applied loads on samples with edge pre-cracks and two types of samples of aluminium alloys (AA), 6061 and 5052, at the Uni-Standard System with an edge crack length of 5 mm at mid were used. A comparison of the types of alloys used to verify the validity of the results was performed. The results showed acceptable agreement in determining crack propagation rate when predicting the results of the theoretical and experimental analyses. The results in the sample showed 5052 (0.0006, 0.000633) mm/sec for the experimental and theoretical results, respectively. In contrast, the crack propagation rate amounted to 6061 (0.000183, 0.000222) mm/sec for the experimental and theoretical results, respectively. Hence, Sample 5052 started faster and propagated cracks faster than alloy 6061.
References
P. Zhang, J. Li, Y. Zhao, and J. Li, “Crack propagation analysis and fatigue life assessment of high-strength bolts based on fracture mechanics.,” Sci. Rep., vol. 13, no. 1, p. 14567, Sep. 2023, doi: 10.1038/s41598-023-41804-z.
A. Al-Mukhtar, “Mixed-Mode Crack Propagation in Cruciform Joint using Franc2D,” J. Fail. Anal. Prev., vol. 16, Apr. 2016, doi: 10.1007/s11668-016-0094-1.
D. Rozumek and E. Macha, “A survey of failure criteria and parameters in mixed-mode fatigue crack growth,” Mater. Sci., vol. 45, no. 2, p. 190, 2009, doi: 10.1007/s11003-009-9179-2.
A. D. Assi, “Influence of Al2O3 Nanoparticles Addition to AA6082-T6 on Mechanical Properties by Stir Casting Technique,” IOP Conf. Ser. Mater. Sci. Eng., vol. 881, no. 1, p. 12081, 2020, doi: 10.1088/1757-899X/881/1/012081.
F. Alshamma and O. Jassim, “Dynamic crack propagation in nano-composite thin plates under multi-axial cyclic loading,” J. Mater. Res. Technol., vol. 8, Aug. 2019, doi: 10.1016/j.jmrt.2019.08.011.
B. Bachy, “MATHEMATICAL MODEL TO INVESTIGATE THE TEMPERATURE AND HARDNESS DISTRIBUTIONS DURING THE ANNEALING AND NORMALISING TREATMENT,” Intell. Transp. Syst. J., vol. 16, pp. 5683–5698, Jan. 2010.
A. A. Asaad and M. A. Mussa, “An experimental and numerical investigation of heat transfer effect on cyclic fatigue of gas turbine blade,” J. Eng., vol. 25, no. 7 SE-Articles, pp. 61–82, Jun. 2019, doi: 10.31026/j.eng.2019.07.04.
H. Jahed, A. Varvani-Farahani, M. Noban, and I. Khalaji, “An energy-based fatigue life assessment model for various metallic materials under proportional and non-proportional loading conditions,” Int. J. Fatigue, vol. 29, no. 4, pp. 647–655, 2007, doi: https://doi.org/10.1016/j.ijfatigue.2006.07.01.
S. A. Z. Dr. Fathi Alshamma, “No TitleCRACK GROWTH BEHAVIOR OF CRACKED COPPER PIPES (12200) UNDER CYCLIC TORSION LOADS,” Int. J. Eng. Technol. Sci. Innov., vol. 2, pp. 595–603, 2017, [Online]. Available: https://www.ijetsi.org/more2017.php?id=50
F. A. Alshamma and M. H. Salman, “MODIFIED METHOD FOR STUDYING THE EFFECT OF LASER SHOT PEENING IN THIN PLATE ON DYNAMIC CRACK PROPAGATION UNDER CYCLING THERMAL EFFECT,” 2020.
F. Wang, Z. L. He, S. Yang, Z. G. Fu, H. Li, and J. H. Deng, “Investigation of Mixed-Mode Crack Propagation Behaviour under Impact Loading,” IOP Conf. Ser. Earth Environ. Sci., vol. 861, no. 4, p. 42007, 2021, doi: 10.1088/1755-1315/861/4/042007.
A. K. Vasudevan and R. D. Doherty, Aluminum Alloys--Contemporary Research and Applications: Contemporary Research and Applications. in ISSN. Elsevier Science, 2012. [Online]. Available: https://books.google.iq/books?id=jGyAA1STaXEC
R. J. Bucci, “Selecting aluminum alloys to resist failure by fracture mechanisms,” Eng. Fract. Mech., vol. 12, no. 3, pp. 407–441, 1979, doi: https://doi.org/10.1016/0013-7944(79)90053-5.
R. Yamada, S. Ishizawa, G. Itoh, A. Kurumada, and M. Nakai, “Effects of environment on fatigue crack growth behavior of 2000 and 7000 series aluminum alloys,” L. B. T.-R. A. in S. I. A.-P. of the I. C. (APCF/SIF-2014) Ye, Ed., Oxford: Woodhead Publishing, 2014, pp. 123–126. doi: https://doi.org/10.1533/9780081002254.123.
M. D. Vijayakumar, V. Dhinakaran, T. Sathish, G. Muthu, and P. M. B. ram, “Experimental study of chemical composition of aluminium alloys,” Mater. Today Proc., vol. 37, pp. 1790–1793, 2021, doi: https://doi.org/10.1016/j.matpr.2020.07.391.
H. Tada, H. A. Ernst, and P. C. Paris, “Westergaard stress functions for displacement-prescribed crack problems—I,” Int. J. Fract., vol. 61, no. 1, pp. 39–53, 1993, doi: 10.1007/BF00032338.
L. Ewalds, H and H. Wanhill, R, J, FRACTURE MECHANICS, FOURTH. LONDON: Edwrd Arnold, 1989.
S. E. A. B. Abdel-Rahman A. Ragab, Engineering Solid Mechanics, Fist. Boca Raton: 20 December 2019, 1998. doi: https://doi.org/10.1201/9780203757307.
[19] R. L. Liboff, Kinetic Theory: Classical, Quantum, and Relativistic Descriptions. in Graduate Texts in Contemporary Physics. Springer, New York, 2006. [Online]. Available: https://books.google.iq/books?id=iqASBwAAQBAJ
J. knot, fundamentals of fracture mechanics, FIRST. LONDON, 1973.
K. Sadananda, K. N. Solanki, and A. K. Vasudevan, “Subcritical crack growth and crack tip driving forces in relation to material resistance,” vol. 35, no. 4–5, pp. 251–265, 2017, doi: doi:10.1515/corrrev-2017-0034.
S. Alkan, P. Chowdhury, H. Sehitoglu, R. G. Rateick, and H. J. Maier, “Role of nanotwins on fatigue crack growth resistance – Experiments and theory,” Int. J. Fatigue, vol. 84, pp. 28–39, 2016, doi: https://doi.org/10.1016/j.ijfatigue.2015.11.01.
S. Hussein, M. Al-Shammari, A. Takhakh, and M. Al-Waily, “Effect of Heat Treatment on Mechanical and Vibration Properties for 6061 and 2024 Aluminum Alloys,” J. Mech. Eng. Res. Dev., vol. 43, pp. 48–66, Jan. 2020.
S. Keil, Technology and Practical Use of Strain Gages: With Particular Consideration of Stress Analysis Using Strain Gages. Wiley, 2017. [Online]. Available: https://books.google.iq/books?id=7kozDwAAQBAJ
T. Baral, Paris’ Law Parameters Estimation for Fatigue Crack Prediction of an Aluminum Alloy Plate Under Cyclic Loading. University of Manitoba, 2022.https://books.google.iq/books?id=commzwEACAAJ
D.-C. Ko, D.-H. Ko, J.-H. Kim, and J.-H. Park, “Development of a partition panel of an Al6061 sheet metal part for the improvement of formability and mechanical properties by hot forming quenching,” Adv. Mech. Eng., vol. 9, no. 2, p. 1687814017691213, Feb. 2017, doi: 10.1177/1687814017691213.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Copyright (c) 2024 Al-Khwarizmi Engineering Journal