A study on the deformation and crushing of copper tubing: experiments, theory & FE modelling
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Abstract
A series of 250 mm lengths of copper tubing, of 15 mm outer diameter and 0.7 mm wall thickness, were studied to determine their deformation if they were pinched or crushed between rigid objects applying a given force, to replicate potential accidental damage suffered by the copper pipes during service. A finite element modelling framework was developed to simulate the crushing of a copper pipe the same dimensions as that used for experiments, and the experimental data allowed for a validation of the pipe crushing at approximately room temperature, to consider copper pipe carrying cold water. The FE modelling activity was then extended to consider the deformation of copper pipe at 80∘C, carrying heated water at this temperature. The modelling agreed reasonably well with experiment, and applied forces of 1.5 kN began to deform the cold pipe, with the pipe collapsing on itself at loads of 6 kN. The heated pipe began to deform at roughly 1.25 kN. Lastly, theoretical flow calculations were performed to determine the Reynolds value, the flow velocity and the pressure loss and head loss per unit length of the deformed pipes, according to classical pipe flow calculation methods.
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References
- Petersen Products Co., 421 Wheeler Ave, Fredonia, WI 53021-0340, US, 2017.
- Copper Development Association Inc.
- Canadian Copper and Brass Development Association, Toronto, M4H 1P1, Canada, 2019.
- Dick RJ, Wray JA and Johnston HN. A Literature and Technology Search on the Bacteriostatic and Sanitizing Properties of Copper and Copper Alloy Surfaces, Phase 1 Final Report, INCRA Project No. 212, June 29, 1973, contracted to Battelle Columbus Laboratories, Columbus, Ohio.
- Minnesota Department of Health, 625 North Robert Street, St Paul, Minnesota.
- Wednesbury Copper Tube, Mueller Europe Ltd, Oxford Street, Bilston, WV14 7DS, UK.
- Fateh A, Aliofkhazraei M and Rezvanian AR. Review of corrosive environments for copper and its corrosion inhibitors. Arabian journal of Chemistry, In press, 2017. https://doi.org/10.1016/j.arabjc.2017.05.021
- Materials Data Handbook, Cambridge University Engineering Department, UK, 2003 Edition, 13.
- Dubreuil A, Young SB, Atherton J, et al. Metals recycling maps and allocation procedures in life cycle assessment. The International Journal of Life Cycle Assessment, 2010, 15(6): 621-634. https://doi.org/10.1007/s11367-010-0174-5
- Amos J. Waste and Recycling. Heinemann Raintree, 1993.
- ASM Metal Recycling, The Recycling Centre, Aylesbury, Bucks, HP19 8BB, UK.
- Kundig KJA. Copper Applications in plumbing. Copper Development Association, 1998.
- Miller R. Making Seamless tubing with a floating mandrel mill. Tube and Pipe Journal, 2000.
- Chapman DSC. Effect of process variables on the tube drawing process and product integrity, Master’s Thesis, Texas Tech University, USA, 1991.
- DeGarmo EP, Black JT and Kohser RA. Materials and Processes in Manufacturing, Wiley, 2003.
- Lide DR. CRC Handbook of Chemistry and Physics. 84th Edition, CRC Press, Florida, USA, 2004.
- Katsareas DE. Finite Element Simulation of Welding in Pipes: A sensitivity analysis. Residual stress and its effect of fracture, Springer, Dordrecht, 2006: 15-26. https://doi.org/10.1007/1-4020-5329-0_2
- Yaghi A, Hyde TH, Becker AA, et al. Residual stress simulation in thin and thick-walled stainless steel pipe welds including pipe diameter effects. The International Journal of Pressure Vessels and Piping, 2006, 83(11-12): 864-874. https://doi.org/10.1016/j.ijpvp.2006.08.014
- Yaghi AH, Hyde TH, Becker AA, et al. Finite element simulation of welding residual stresses in martensitic steel pipes. Materials Research Innovations, 2013, 17(5): 306-311. https://doi.org/10.1179/1433075X13Y.0000000140
- Zhou Y, Chen XD, Fan ZC, et al. Finite Element Modelling of Welding Residual Stress and Its Influence on Creep Behavior of a 2.25Cr-1Mo-0.25V Steel Cylinder. Procedia Engineering, 2015, 130: 552-559. https://doi.org/10.1016/j.proeng.2015.12.264
- Siddique M, Abid M, Junejo HF, et al. 3-D Finite Element Simulation of Welding Residual Stresses in Pipe-Flange Joints: Effect of Welding Parameters. Materials Science Forum, 2005, 490-491: 79-84. https://doi.org/10.4028/www.scientific.net/MSF.490-491.79
- Mohammad R. Impact loading and transient response of pipes transporting gas / liquid, University of Adelaide. PhD Thesis, 2011.
- Kwan A, Ng PL and Lam JY. Potential underground pipe failure due to load concentration at pipe crossings, The First International Conference on Utility Management and Safety, Hong Kong, China, 2009.
- Scientific Forming Technologies Corporation, 2545 Farmers Drive, Columbus, Ohio 43235, USA.
- Moody L. Friction Factors for pipe flow. Transactions of the ASME, 1944, 66(8): 671-684.
- Acheson DJ. (1990), Elementary Fluid Dynamics, Oxford University Press, Oxford, UK, 1990.
- Ramanujan S . Modular equations and approximations to π. Also in Collected Papers of Srinivasa Ramanujan, Gh Hardy, Pv Seshu Aiyar, & Bm. 1914. https://doi.org/10.1007/978-1-4757-4217-6_29
- White FM. Fluid Mechanics (7th Ed.), MacGraw-Hill Asia, 2011.
- Greenwood NN and Earnshaw A. Chemistry of the Elements (2nd Ed.), Butterworth-Heinemann, 1997.
- Rumble JR. CRC Handbook of Chemistry and Physics (99th Ed.). Boca Raton, FL: CRC Press, 2018