Effect of the hole size and the open area value on the effective Young's modulus of perforated sheets with a right pattern of cylindrical holes

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DOI:

https://doi.org/10.24425/ace.2023.145264

Abstract

Perforated sheets are materials which - maintaining good mechanical properties - are characterized by reduced mass in comparison to full sheets. Their elastic properties are important features that are considered in the context of these materials’ design applications. Compared to full sheets, they are characterized by reduced mass while simultaneously preserving good strength properties. This article presents an experimental and numerical analysis of the effect of key parameters of the hole mesh (open area, hole diameter and orientation relative to the direction of greatest hole concentration) in association with the type of material and sheet thickness t on the value of the effective Young’s modulus of perforated sheet. A significant influence of open area (the share of holes in the sheet, as a percentage) and orientation angle was determined. On the basis of experimental results and computer simulations, a mathematical dependency allowing for calculation of this parameter’s value was proposed. The average deviation of calculated values from experimental is less than 4%.

References

[1] W. Muzykiewicz, Deformability of perforated sheets. Cracow: Wydawnictwo Naukowe “AKAPIT”, 2013.

[2] W. Muzykiewicz, M. Wieczorek, M. Mroczkowski, P. Pałka, and Ł. Kuczek, “The modulus of elasticity of steel sheet with right pattern of perforation”, Metal Forming, vol. 27, no. 4, pp. 283-300, 2016.

[3] P. Stempin and W. Sumelka, “Numerical analysis of road acoustic screen”, Archives of Civil Engineering, vol. 66, no. 2, pp. 191-210, 2020, doi: 10.24425/ACE.2020.131805.

[4] A. Öchsner, W. Winter, and G. Kuhn, “Elastic-plastic Behaviour of Perforated Aluminium under Tension and Compression”, Technische Mechanik, vol. 21, no. 2, pp. 101-108, 2001.

[5] H. Khatam, L. Chen, and M.J. Pindera, “Elastic and plastic response of perforated metal sheets with different porosity architectures”, Journal of Engineering Materials and Technology, vol. 131, no. 3, pp. 1-14, 2009, doi: 10.1115/1.3086405.

[6] M. Vimal, T. Pridhar, P. Viswanathan, and R. Subramanian, “Design and structural analysis of perforated sheet metals”, International Journal of Advanced Scientific and Technical Research, vol. 4, no. 3, pp. 416-421, 2013.

[7] W. Muzykiewicz, K. Świątkowski, and P. Domagała, “Formability of perforated sheet metal”, in Proceedings of the First Australasian Congress on Applied Mechanics, ACAM-96, Melbourne, Australia, vol. 2. 1996, pp. 907-912.

[8] R. Chiba, H. Takeuchi, and R. Nakamura, “Forming-limit prediction of perforated aluminium sheets with square holes”, The Journal of Strain Analysis for Engineering Design, vol. 50, no. 6, pp. 391-404, 2015, doi: 10.1177/0309324715594735.

[9] W. Muzykiewicz, “Non-uniformity of plastic deformation of perforated sheet metal”, in Proceedings of the 8th International Conference on Metal Forming - Metal Forming 2000, Cracov, Poland. 2000, pp. 397-404.

[10] G. Venkatachalam, S. Narayanan, and C. Sathiya Narayanan, “Prediction of limiting strains for square pattern - square hole perforated commercial pure aluminium sheets”, Advanced Materials Research, vol. 548, pp. 382-386, 2012, doi: 10.4028/www.scientific.net/AMR.548.382.

[11] I. Malkin, “Notes on a theoretical basis for design of tube sheets of triangular layout”, Transactions ASME, vol. 74, pp. 387-396, 1952.

[12] G. Horvay, “Thermal Stresses in Perforated Plates”, in Proceedings of the First U. S. National Congress of Applied Mechanics, Illinois, US. 1951.

[13] G. Horvay, “The plane-stress problem of perforated plates”, Journal of Applied Mechanics, vol. 19, no. 3, pp. 355-360, 1952, doi: 10.1115/1.4010511.

[14] M.M. Leven, “Preliminary report on deflection of tube sheets”, Westinghouse Electric Corp. Research Labs., Pittsburgh, Research Report WAPD-DLE-320, 1959.

[15] R.C. Sampson, “Photoelastic analysis of stresses in perforated material subjected to tension or bending”, Westinghouse Electric Corp. Research Labs., Pittsburgh, Research Report WAPD-DLE-319, 1959.

[16] R. Bailey and R. Hicks, “Behavior of perforated plates under plane stress”, Journal of Mechanical Engineering Science, vol. 2, no. 2, pp. 143-161, 1960.

[17] D.C. Webb, K. Kormi, and S.T.S. Al-Hassani, “Use of FEM in performance assessment of perforated plates subjected to general loading conditions”, International Journal of Pressure Vessels and Piping, vol. 64, no. 2, pp. 137-152, 1995, doi: 10.1016/0308-0161(94)00078-W.

[18] M.M. Cepkauskas and J. Yang, “Equivalent properties for perforated plates - an analytical approach”, in 18th International Conference on Structural Mechanics in Reactor Technology, SMiRT 2005, Beijing, China. 2005, pp. 1225-1232.

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Published

2023-06-30

How to Cite

Kuczek, Łukasz, et al. “Effect of the Hole Size and the Open Area Value on the Effective Young’s Modulus of Perforated Sheets With a Right Pattern of Cylindrical Holes”. Archives of Civil Engineering, vol. 69, no. 2, June 2023, pp. 211-26, doi:10.24425/ace.2023.145264.

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