Fatigue Behavior of Copper Under Rotating Bending with Constant Reversed Amplitude

Mohammed Y. Abdellah^{1, 2,} , Mohamed Karama¹, Sufyan A. Azam¹, Hamzah Alharthi¹ and Mohamed K. Hassan^{1, 3}

¹Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah 21955, Saudi Arabia

²Mechanical Engineering Department, Faculty of Engineering, South Valley University, Qena 83523, Egypt

³Production Engineering and Design Department, Faculty of Engineering, Minia University, Minia 61111, Egypt

Cite this paper:
Mohammed Y. Abdellah, Mohamed Karama, Sufyan A. Azam, Hamzah Alharthi and Mohamed K. Hassan. Fatigue Behavior of Copper Under Rotating Bending with Constant Reversed Amplitude. American Journal of Mechanical Engineering. 2024; 12(1):1-9. doi: 10.12691/ajme-12-1-1

Abstract

Fatigue is a type of failure that affects structures that are prone to dynamic and fluctuating stresses, under cyclic loading over a period of time. It is a type of failure that arises due to the repetitive application of stress. The aim of this study is to find fatigue life, endurance limit of copper metal, study the effect of load distribution on the fracture surface under cyclic bending moments, and find the relationship between hardness and fatigue through experimentation analysis under cyclic bending moments. With a load ratio of (Fully Reversal R=-1) and a constant load amplitude of 60 Hz, the fatigue testing technique was used. According to the results of the experiment, it was determined that the endurance fatigue limit for copper was 86 MPa. Also it indicated that with increasing the applied loads, there were more dislocations and micro deformations and the possibility of deformation of the fracture surface increases. the defect size for the specimens was 17115 µm when utilizing the square root of the defect area as the defect parameter.

Keywords:
fatigue copper hardness amplitude

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References:

[1]	H. A. Luaibi, “FATIGUE STRENGTH PREDICTION OF DUCTILE IRONS SUBJECTED TO COMBINED LOADING,” JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES, vol. 16, no. 3, Mar. 2021.
[2]	T. Aldeeb and M. Abduelmula, “Fatigue-Strength-of-S275-Mild-Steel-under-Cyclic-Loading.” [Online]. Available: https://www.researchgate.net/publication/328355534
[3]	S. Khalilpourazary, M. Zadshakoyan, and S. H. Hoseini, “Ductile fracture analysis of annealed and ECAPed pure copper,” Theoretical and Applied Fracture Mechanics, vol. 103, Oct. 2019.
[4]	S. H. Hoseini, S. Khalilpourazary, and M. Zadshakoyan, “Fracture Behavior of Annealed and Equal Channel Angular Pressed Copper: An Experimental Study,” J Mater Eng Perform, vol. 29, no. 2, pp. 975–986, Feb. 2020.
[5]	S. Fintová et al., “Frequency-dependent fatigue damage in polycrystalline copper analyzed by FIB tomography,” Acta Mater, vol. 211, Jun. 2021.
[6]	P. Esmaeilzadeh, R. A. Behnagh, M. A. M. Pour, X. Zhang, and Y. Liao, “Phase-field modeling of fracture and crack growth in friction stir processed pure copper,” International Journal of Advanced Manufacturing Technology, vol. 109, no. 9–12, pp. 2377–2392, Aug. 2020.
[7]	F. Li, H. Yuan, and H. Liu, “Implementation of metal ductile damage criteria in Abaqus FEA,” in Journal of Physics: Conference Series, May 2021, vol. 1906, no. 1.
[8]	M. Mashayekhi et al., “Flow behaviour of metals in severe plastic deformation View project Accumulation of damage in machining of metals View project AN EXPERIMENTAL AND NUMERICAL STUDY OF DUCTILE FRACTURE OF COPPER/STAINLESS STEEL CLAD SHEET IN DEEP DRAWING PROCESS,” 2015. [Online]. Available: https://www.researchgate.net/publication/307865844
[9]	N. Bonora, A. Ruggiero, G. Iannitti, and G. Testa, “Ductile damage evolution in high purity copper taylor impact test,” in AIP Conference Proceedings, 2012, vol. 1426, pp. 1053–1056.
[10]	G. Chiantoni, N. Bonora, and A. Ruggiero, “Experimental study of the effect of triaxiality ratio on the formability limit diagram and ductile damage evolution in steel and high purity copper,” International Journal of Material Forming, vol. 3, no. SUPPL. 1, pp. 171–174, Apr. 2010.
[11]	L. Lira Lopez Rego, J. T. P. Castro, J. Freire, and V. Paiva, “Fatigue characterization of the C36000 copper alloy using the thermographic method,” Feb. 2018.
[12]	A. Ghahremaninezhad and K. Ravi-Chandar, “Ductile failure in polycrystalline OFHC copper,” Int J Solids Struct, vol. 48, no. 24, pp. 3299–3311, Dec. 2011.
[13]	S. Henkel, J. Fischer, L. Balogh, T. Ungar, and H. Biermann, “Low-cycle fatigue behaviour and microstructure of copper and alpha-brass under biaxial load paths,” in Journal of Physics: Conference Series, 2010, vol. 240.
[14]	B. Meng and M. W. Fu, “Size effect on deformation behavior and ductile fracture in microforming of pure copper sheets considering free surface roughening,” Mater Des, vol. 83, pp. 400–412, Sep. 2015.
[15]	R. Mnif, M. Kchaou, R. Elleuch, and F. Halouani, “Cyclic behavior and damage analysis of brass under cyclic torsional loading,” Journal of Failure Analysis and Prevention, vol. 7, no. 6, pp. 450–455, Dec. 2007.
[16]	R. Mnif, R. Elleuch, and F. Halouani, “Effects of cyclic torsional prestraining and overstrain on fatigue life and damage behavior of brass alloy,” Mater Des, vol. 31, no. 8, pp. 3742–3747, Sep. 2010.
[17]	W. H. Müller, “A Study of Ductile Damage and Failure of Pure Copper-Part I: Constitutive Equations and Experiments.” [Online]. Available: https://www.researchgate.net/publication/263571309
[18]	M. Zheng, M. X. Tong, H. P. Cai, C. Z. Xu, and M. Q. Huang, “Fatigue crack initiation life of fine grain brass H62,” Theoretical and Applied Fracture Mechanics, vol. 54, no. 2, pp. 105–109, Oct. 2010.
[19]	C. Fang, X. Guo, G. J. Weng, J. H. Li, and G. Chen, “Simulation of ductile fracture of zirconium alloys based on triaxiality dependent cohesive zone model,” Acta Mech, vol. 232, no. 9, pp. 3723–3736, Sep. 2021.
[20]	K. A. Mohammed Saad Abbas Al-Saraf Hussain JAl-Alkawi, “Thermomechanical Fatigue Damage Model for Life prediction of Navel Copper Alloy.”
[21]	G. Martinez-Cazares, R. Mercado-Solis, Y. Bedolla-Gil, and D. Lozano, “Continuous estimation of the crack growth rate during rotating-bending fatigue testing,” Metals (Basel), vol. 9, no. 3, Mar. 2019.
[22]	R. Seifi and R. Hosseini, “Experimental study of fatigue crack growth in raw and annealed pure copper with considering cyclic plastic effects,” Theoretical and Applied Fracture Mechanics, vol. 94, pp. 1–9, Apr. 2018.
[23]	T. Deguchi, H. J. Kim, and T. Ikeda, “Fatigue limit prediction of ferritic-pearlitic ductile cast iron considering stress ratio and notch size,” in Journal of Physics: Conference Series, Jun. 2017, vol. 842, no. 1.
[24]	M. Y. Abdellah, “Ductile Fracture and S–N Curve Simulation of a 7075-T6 Aluminum Alloy under Static and Constant Low-Cycle Fatigue,” Journal of Failure Analysis and Prevention, vol. 21, no. 4, pp. 1476–1488, Aug. 2021.
[25]	Z. Tuo et al., “Comparison of two uncoupled ductile damage initiation models applied to DP900 steel sheet under various loading paths,” International Journal of Damage Mechanics, vol. 30, no. 1, pp. 25–45, Jan. 2021.
[26]	P. Z. M. Hossain, “Submitted by-Advisor-Department of Civil Engineering,” 2012.
[27]	W. W. Lee, L. T. Nguyen, and G. S. Selvaduray, “Introductory invited paper Solder joint fatigue models: review and applicability to chip scale packages.” [Online]. Available: www.elsevier.com/locate/microrel
[28]	M. Baklouti, R. Mnif, and R. Elleuch, “Impact of surface hardening treatment generated by shot peening on the fatigue life of brass alloy,” Journal of Mechanical Science and Technology, vol. 26, no. 9, pp. 2711–2717, Sep. 2012.
[29]	M. Baklouti, R. Mnif, and R. Elleuch, “Impact of surface hardening treatment generated by shot peening on the fatigue life of brass alloy,” Journal of Mechanical Science and Technology, vol. 26, no. 9, pp. 2711–2717, Sep. 2012.
[30]	A. A. Zainulabdeen, “Study of Fatigue Fractography of Mild Steel Used in Automotive Industry,” Al-Khwarizmi Engineering Journal, vol. 15, no. 1, pp. 82–88, Mar. 2019.
[31]	N. Shiraki, T. Watanabe, and T. Kanno, “Relationship between fatigue limit and defect size in spheroidal graphite cast iron with different graphite spheroidization ratios and microstructures,” Mater Trans, vol. 56, no. 12, pp. 2010–2016, 2015.
[32]	R. Aigner, C. Garb, M. Leitner, M. Stoschka, and F. Grün, “Application of a √area-approach for fatigue assessment of cast aluminum alloys at elevated temperature,” Metals (Basel), vol. 8, no. 12, Dec. 2018.
[33]	M. Baklouti, R. Mnif, and R. Elleuch, “Impact of surface hardening treatment generated by shot peening on the fatigue life of brass alloy,” Journal of Mechanical Science and Technology, vol. 26, no. 9, pp. 2711–2717, Sep. 2012.
[34]	M. Y. Abdellah, M. G. Sadek, H. Alharthi, and G. Abdel-Jaber, "Mechanical, thermal, and acoustic properties of natural fibre-reinforced polyester," Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, p. 09544089231157638, 2023.
[35]	M. K. H. Mohammed Y. Abdellah, Ahmed F. Mohamed, Khalil Abdelrazek Khalil, "A Novel and Highly Effective Natural Vibration Modal Analysis to Predict Nominal Strength of Open Hole Glass Fiber Reinforced Polymer Composites Structure," Polymers, vol. 13, 2021
[36]	A. F. G. Mohammed Y. Abdellah, Ahmed F. Mohamed, Ahmed Bakr Khoshaim, "Protection of limestone Coated with Different Polymeric Materials," American Journal of Mechanical Engineering, vol. 5, 2017
[37]	M. Y. Abdellah, M. G. Sadek, H. Alharthi, and G. Abdel-Jaber, "Mechanical, thermal, and acoustic properties of natural fibre-reinforced polyester," Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, p. 09544089231157638, 2023.
[38]	M. Abdellah, "An Asymptotic Analysis of Methods for Predicting the Fracture Toughness of Multiaxial Carbon Fiber Composite Laminates Using the Elastic Constants of the 0° Plies," Strength of Materials, pp. 1-17, 2023.
[39]	M. Y. Abdellah and H. Alharthi, "Fracture Toughness and Fatigue Crack Growth Analyses on a Biomedical Ti-27Nb Alloy under Constant Amplitude Loading Using Extended Finite Element Modelling," Materials, 2023.