Abstract
Residual stresses in sheet metal parts are internal stresses that remain after the release of elastic strains at the end of metal forming operations. When the formed sheet metal part is removed from the forming tools, it not only springs back but also acquires a through-thickness residual stress distribution. Residual stresses for monolithic aluminum sheets and aluminum/polypropylene/aluminum sandwich laminates after springback of a U-channel formed by draw bending are presented in this paper. The forming stresses at the end of punch travel and residual stresses at the end of punch withdrawal are numerically determined using LS-DYNA, a well-established nonlinear finite element software. The through-thickness forming stress distribution is determined using an explicit forming simulation, following which the through-thickness residual stress distribution is determined using an implicit springback simulation. Stress distributions are studied at the die corner, punch corner and along the wall of the U-channel. Both forming and residual stresses in the sandwich laminate are found to be lower than those in monolithic aluminum of equivalent thickness. In sandwich laminates with the same skin thickness, higher residual stresses are observed in the skin layers as the core thickness is increased. The residual stresses at the punch corners of the formed U-channels are more influenced by changes in the die and punch corner radii than at the die corner.
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References
D. Rees, Mechanics of Solids and Structures, 2nd ed. Imperial College Press, London, 2016.
Z. Tan, B. Li, and B. Persson, On Analysis and Measurement of Residual Stresses in the Bending of Sheet Metals, Int. J. Mech. Sci., 1994, 36(5), p 483–491.
J. Joudaki and M. Sedighi, Effect of Material’s Behavior on Residual Stress Distribution in Elastic-Plastic Beam Bending: An Analytical Solution, J. Mater. Des. Appl., 2017, 231(4), p 361–372.
C. Wang, Mechanics of Bending, Flanging and Deep Drawing and a Computer-Aided Modelling System for Predictions of Strain, Fracture, Wrinkling and Springback in Sheet Metal Forming, PhD Dissertation, Ohio State University, Ohio 1993.
J.E. Elentikskiy, Analytical Solution for Longitudinal and Transverse Loading of Elastic-Plastic Beam, J. Phys. Conf. Ser., 2019, 1425(1), p 012–026.
A. Essa, M. Nasr, and M. H. Ahmed, Variation of the Residual Stresses and Springback in Sheet Bending from Palne Strain to Plane Stress Condition Using Finite Element Modelling, in International Conference on Applied Mechanics and Mechanical Engineering, Military Technical College, Cairo, 2016.
M. Elsherbiny, H. Zein, M. Abdrabou, and M. Elshazly, Thinning and Residual Stresses of Sheet Metal in the Deep Drawing Process, Mater. Des., 2014, 55, p 869–879.
N. Simon, H. Erdle, S. Walzer, J. Gibmeier, T. Böhlke, and M. Liewald, Residual Stresses in Deep-Drawn Cups Made of Duplex Stainless Steel X2CrNiN23-4, Forsch. Ingenieurwes., 2021, 85(3), p 795–806.
T. Gnäupel-Herold, H. Prask, R. Fields, T. Foecke, Z. Xia, and U. Lienert, A Synchrotron Study of Residual Stresses in Al6022 Deep Drawn Cups, Mater. Sci. Eng. A, 2004, 366, p 104–113.
A. Fallahiarezoodar, T. Gupta, C. Goertemiller, and T. Altan, Residual Stresses and Springback Reduction in U-Channel Drawing of Al5182-O by Using a Servo Press and a Servo Hydraulic Cushion, Prod. Eng., 2019, 13, p 219–226.
J. Hofinger, H. Erdle, and T. Bohlke, Prediction of Residual Stresses of Second Kind in Deep Drawing Using an Incremental Two-Scale Material Model, Philos. Mag., 2020, 100, p 2836–2856.
J. Liu and W. Xue, Unconstrained Bending and Springback Behaviors of Aluminum-Polymer Sandwich Sheets, Int. J. Adv. Manuf. Tech., 2017, 91, p 5–8.
J. Joudaki and M. Sedighi, A Closed-Form Analytical Solution for Residual Stresses due to the Bending of Bilayer Sheets, Arch. Appl. Mech., 2020, 90(6), p 1349–1361.
D. Banabic, Sheet Metal Forming Frocesses: Constitutive Modelling and Numerical Simulation, Springer, Cham, 2010.
LS-DYNA, “MAT226_AA5182-O_NUMI2014,” in LSDYNA Material Library, 2014.
Y. Zhou and P.K. Mallick, Effects of Temperature and Strain Rate on the Tensile Behavior of Unfilled and Talc Filled Polypropylene. Part I: Experiments, Polym. Eng. Sci., 2002, 42(12), p 2449–2460.
A Makinouchi, “NUMISHEET ‘93,” in Proceedings of the 2nd International Conference of Numerical Simulation of 3-D Sheet Metal Forming Processes, Isehara, Japan, 1993.
C.K. Kella and P.K. Mallick, Springback Behavior of Aluminum/Polupropylene/ Aluminum Sandwich Laminates, J. Manuf. Mater. Proc., 2022, 6(6), p 152.
B. Maker and X. Zhu, Input Parameters for Springback Simulation using LS-DYNA, Livermore Software Technology Corporation, 2001.
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This invited article is part of a special topical issue of the Journal of Materials Engineering and Performance on Residual Stress Analysis: Measurement, Effects, and Control. The issue was organized by Rajan Bhambroo, Tenneco, Inc.; Lesley Frame, University of Connecticut; Andrew Payzant, Oak Ridge National Laboratory; and James Pineault, Proto Manufacturing on behalf of the ASM Residual Stress Technical Committee.
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Kella, C., Mallick, P.K. Residual Stress Distribution in Aluminum/Polypropylene/Aluminum Sandwich Laminates in U-Channel Draw Bending. J. of Materi Eng and Perform (2024). https://doi.org/10.1007/s11665-024-09421-7
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DOI: https://doi.org/10.1007/s11665-024-09421-7