Document Type : Research Paper
Authors
1 Mechanical Engineering Department, College of Engineering, University of Mosul, 41002, Mosul, Iraq.
2 Department of Mechanical and Aerospace Engineering, Rutgers, The State University of New Jersey, 08854, NJ, USA.
Abstract
Metal plates with different cutout shapes are commonly used in various engineering applications. Cutouts are unavoidable in structural design as they are needed for practical reasons, such as reducing the structure’s weight and providing access to other parts. This paper investigates the stress concentration induced in Al-2024 T3 plate with an elliptical cutout under a tensile load, experimentally and numerically. Practical tensile test and strain gauge results measure the generated stress concentration in Al-2024 T3 plate. A finite element model is created to analyze the stress concentration factor (SCF) in Al 2024 T3 plate under uniaxial loading. The numerical model is validated against the experimental and analytical results. The influence of the elliptical cutout orientation angle (φ) on SCF was investigated. The results showed that SCF increases with increasing elliptical cutout orientation angle (φ = 0°) to (φ = 90°). However, adding auxiliary holes around the central elliptical cutout enhances the stress distribution and reduces SCF in the range (1.9 to 25 %). Surrogated-based optimization is used to build response surface models for predicting optimal SCF and removal mass (RM). Multi-objective optimization is formulated to minimize SCF and maximize RM. The results show that increasing AH diameter leads to minimizing SCF and maximizing RM for the plate with an elliptical cutout that is restrained to be greater than or equal to 45 (φ ≥ 45°). Pareto frontier offers reliable, optimal solutions of SCF and RM based on input design parameters, including the orientation angle and auxiliary hole diameters.
Keywords
- A. Barroso and S. Sánchez-Carmona, “Static and fatigue performance of non-circular rivet joints: Comparison between numerical modelling and preliminary testing,” Engineering Failure Analysis, vol. 162, p. 108364, Aug. 2024, doi: https://doi.org/10.1016/j.engfailanal.2024108364.
- S. Rahman, “Stress Analysis of Finite Steel Plate with a Rectangular Hole Subjected to Uniaxial Stress Using Finite Element Method,” J Marine Sci Res Dev, vol. 08, no. 03, 2018, doi: https://doi.org/10.4172/2155-9910.1000254.
- R. H. Patel and B. P. Patel, “Effect of various discontinuities present in a plate on stress concentration: a review,” Eng. Res. Express, vol. 4, no. 3, p. 032001, Sep. 2022, doi: https://doi.org/10.1088/2631-8695/ac8c1b.
- S. C. K S, T. Rajanna, and K. V. Rao, “A Parametric study on the effect of elliptical cutouts for buckling behavior of composite plates under non-uniform edge loads,” Lat. Am. j. solids struct., vol. 17, p. e328, Dec. 2020, doi: 10.1590/1679-78256225.
- M. Mohammadi, J. R. Dryden, and L. Jiang, “Stress concentration around a hole in a radially inhomogeneous plate,” International Journal of Solids and Structures, vol. 48, no. 3, pp. 483–491, Feb. 2011, doi: https://doi.org/10.1016/j.ijsolstr.2010.10.013.
- D. Gunwant, “Stress Concentration Studies in Flat Plates with Rectangular Cut-Outs Using Finite Element Method,” International Journal of Mathematical, Engineering and Management Sciences, vol. 4, no. 1, pp. 66–76, 2019, doi: https://dx.doi.org/10.33889/IJMEMS.2019.4.1-006.
- M. T. Ozkan and I. Toktas, “Determination of the stress concentration factor (Kt) in a rectangular plate with a hole under tensile stress using different methods,” Materials Testing, vol. 58, no. 10, pp. 839–847, Oct. 2016, doi: https://doi.org/10.3139/120.110933.
- W. D. Pilkey, D. F. Pilkey, and Bi. Zhuming, Peterson’s Stress Concentration Factors, 4th edt. John Wiley & Sons, 2020. [Online]. Available: https://doi.org/10.1002/9780470211106
- L. Bharambe and S. Kolhe, “Stress Concentration of plate with rectangular cutout,” IRJET, vol. 06, no. 04, 2019, doi: https://www.irjet.net/archives/V6/i4/IRJET-V6I4782.pdf.
- J. Rezaeepazhand and M. Jafari, “Stress concentration in metallic plates with special shaped cutout,” International Journal of Mechanical Sciences, vol. 52, no. 1, pp. 96–102, Jan. 2010, doi: https://doi.org/10.1016/j.ijmecsci.2009.10.013.
- M. Kumar, Y. Rajesh, and B. Yeshaswini, “Study on the Effect of Stress Concentration on Cutout Orientation of Plates with Various Cutouts and Bluntness,” IJMER, vol. 3, no. 3, pp. 1295–1303, 2013, doi: http://www.ijmer.com/papers/Vol3_Issue3/AG3312951303.pdf.
- M. Patil and A. More, “Effect of Hexagonal Cutout Orientation and Roundness of Edges on Stress Concentration in Plate,” IRJET, vol. 08, no. 04, pp. 4431–4435, 2021, doi: https://www.irjet.net/archives/V8/i4/IRJET-V8I4851.pdf.
- M. Jafari and E. Ardalani, “Stress concentration in finite metallic plates with regular holes,” International Journal of Mechanical Sciences, vol. 106, pp. 220–230, Feb. 2016, doi: https://doi.org/10.1016/j.ijmecsci.2015.12.022.
- A. Lu, N. Zhang, and G. Zeng, “Minimizing stress concentrations around an elliptical hole by concentrated forces acting on the uniaxially loaded plate,” Acta Mechanica Solida Sinica, vol. 30, no. 3, pp. 318–326, 2017, doi: https://doi.org/10.1016/j.camss.2017.07.002.
- S. Monti, “Reduction of the Local Stress Field around Holes through Porous Shaped Structures,” Communications - Scientific Letters of the University of Zilina, vol. 20, no. 3, pp. 36–41, 2018, doi: https://doi.org/10.26552/com.C.2018.3.36-41.
- B. R. Endigeri and S. G. Sarganachari, “FEM for Stress Reduction by Optimal Auxiliary Holes in a Loaded Plate with Elliptical Hole,” JETIR, vol. 6, no. 2, pp. 517–523, 2019, doi: https://www.jetir.org/view?paper=JETIR1902176.
- P. Rani, D. Verma, and G. Ghangas, “Stress concentration analysis of functionally graded material coated elliptical inclusion under uniaxial tension,” Materials Today: Proceedings, vol. 78, pp. 351–358, Jan. 2023, doi: 10.1016/j.matpr.2022.09.602.
- A. Bhosekar and M. Ierapetritou, “Advances in surrogate based modeling, feasibility analysis, and optimization: A review,” Computers & Chemical Engineering, vol. 108, pp. 250–267, Jan. 2018, doi: https://doi.org/10.1016/j.compchemeng.2017.09.017.
- A. Cozad, N. V. Sahinidis, and D. C. Miller, “Learning surrogate models for simulation-based optimization,” AIChE Journal, vol. 60, no. 6, pp. 2211–2227, 2014, doi: https://doi.org/10.1002/aic.14418.
- O. D. Jumaah, “Experimental and numerical study on manufacturing gallium nitride thin films in MOCVD process,” Rutgers University - School of Graduate Studies, 2019. doi: https://doi.org/doi:10.7282/t3-6cxt-ph56.
- S. Gao, Y. Zhao, X. Zhao, and Y. Zhang, “Application of response surface method based on new strategy in structural reliability analysis,” Structures, vol. 57, p. 105202, Nov. 2023, doi: https://doi.org/10.1016/j.istruc.2023.105202.
- I. Kaymaz and C. McMahon, “A response surface method based on weighted regression for structural reliability analysis,” Probabilistic Engineering Mechanics, vol. 20, no. 1, pp. 11–17, Jan. 2005, doi: https://doi.org/10.1016/j.probengmech.2004.05.005.
- P. Ting Lin, H. Chang Gea, and Y. Jaluria, “A modified reliability index approach for reliability-based design optimization,” J. Mech. Des., vol. 133, no. 4, pp. 1–6, 2011, doi: https://doi.org/10.1115/1.4003842.
- S. Obers, J. Overal, W. Wong, and C. Walters, “The effect of the yield to tensile strength ratio on stress/strain concentrations around holes in high-strength steels,” Marine Structures, vol. 84, p. 103205, Jul. 2022, doi: https://doi.org/10.1016/j.marstruc.2022.103205.
- E. Madenci and I. Guven, The Finite Element Method and Applications in Engineering Using ANSYS®, 2nd ed. USA: Springer, 2015. [Online]. Available: https://doi.org/10.1007978-1-4899-7550-8
- W. Young, R. Budynas, and A. Sadegh, Roark’s Formulas for Stress and Strain, 8th Edition, 8th edition. New York: McGraw Hill, 2011.
- A. de A. Neves et al., “Influence of notch geometry and interface on stress concentration and distribution in micro-tensile bond strength specimens,” Journal of Dentistry, vol. 36, no. 10, pp. 808–815, Oct. 2008, doi: https://doi.org/10.1016/j.jdent.2008.05.018.
- A. Khaja and R. Rowlands, “Stresses associated with multiple holes whose individual stresses interact,” The Journal of Strain Analysis for Engineering Design, vol. 52, no. 3, pp. 162–176, Apr. 2017, doi: https://doi.org/10.1177/0309324717690282.
- Z. Yang, “The Interaction of Holes on Stress and Strain Concentrations in Uniaxially Loaded Tensile Plates,” Applied Mechanics and Materials, vol. 268–270, pp. 767–771, Dec. 2012, doi: 10.4028/www.scientific.net/AMM.268-270.767.
- S. Parashar, N. Fateh, V. Pediroda, and C. Poloni, “Self Organizing Maps (SOM) for Design Selection in Multi-Objective Optimization using modeFRONTIER,” SAE International, Warrendale, PA, SAE Technical Paper 2008-01–0874, Apr. 2008. Accessed: Aug. 24, 2024. [Online]. Available: https://doi.org/10.4271/2008-01-0874
- A. Messac, Optimization in Practice with MATLAB®: For Engineering Students and Professionals, 1st ed. New York, USA: Cambridge University Press, 2105. [Online]. Available: www.cambridge.org/9781107109186
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