Abstract
Laser forming experiments were conducted on AISI 304 stainless steel flat sheet to study the effects of process parameters and for developing an empirical model of bending angle, which could be useful to produce a class of developable surfaces from it using multiple parallel laser scans. Central composite design of experiments was used to perform the experiments, input–output relationships were established, and optimization of laser forming process under temperature gradient mechanism was carried out using a response surface methodology based on the experimental data. Laser power, scan speed, spot diameter, scan position, and number of scans were taken as input variables, and bending angle was considered as the output. The performance of the developed model was validated through a set of experimental data. The optimum process parameters for obtaining the maximum bending angle were determined, and those were verified through the real experiments. The effect of work-piece geometry on bending angle and that of multiple laser irradiations on bending rate were also investigated. Bending angle was found to be influenced by the work-piece geometry. Bending angle increased with the number of laser scans, but the bending rate decreased. Metallurgical changes at the laser irradiated zones of the laser formed samples, that is, micro-structures and micro-hardness were also studied using scanning electron microscope and Vickers’ micro-hardness tester, respectively. Microstructures were found to be refined and micro-hardness of the bent zone got improved due to the laser forming.
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References
Shen H, Vollertsen F (2009) Modeling of laser forming—an review. Comput Mater Sci 46:834–840
Vollertsen F (1994) An analytical model for laser bending. Lasers Eng 2:261–276
Cheng PJ, Lin SC (2001) An analytical model to estimate angle formed by laser. J Mater Process Technol 108:314–319
McBride R, Bardin F, Gross M, Hand DP, Jones JDC, Moore AJ (2005) Modeling and calibration of bending strains for iterative laser forming. J Phys D Appl Phys 38:4027–4036
Shen H, Shi Y, Yao Z, Hu J (2006) An analytical model for estimating deformation in laser forming. Comput Mater Sci 37:593–598
Vollertsen F, Geiger M, Li WM (1993) FDM and FEM simulation of laser forming: a comparative study. Proceeding of the Fourth International Conference on Technology of Plasticity, 1793–1798
Kyrsanidi AK, Kermanidis TB, Pantelakis SG (1999) Numerical and experimental investigation of the laser forming process. J Mater Process Technol 87:281–290
Zhang L, Michaleris P (2004) Investigation of Lagrangian and Eulerian finite element methods for modeling the laser forming process. Finite Elem Anal Des 40:383–405
Griffiths J, Edwardson SP, Dearden G, Watkins KG (2010) Finite element modeling of laser forming at macro and micro scales. Phys Procedia 5:371–380
Hu J, Dang D, Shen H, Zhang Z (2012) A finite element model using multi-layered shell element in laser forming. Opt Laser Technol 44:1148–1155
Yao CL, Chan KC, Lee WB (1998) Laser bending of lead frame materials. J Mater Process Technol 82:117–121
Shichun W, Jinsong J (2001) An experimental study of laser bending for sheet metals. J Mater Process Technol 110:160–163
Li W, Yao YL (2001) Laser forming with constant line energy. Int J Adv Manuf Technol 17:196–203
Marya M, Edwards GR (2001) A study on the laser forming of near-alpha and metastable beta titanium alloy sheets. J Mater Process Technol 108:376–383
Carey C, Cantwell WJ, Dearden G, Edwards KR, Edwardson SP, Watkins KG (2010) Towards a rapid, non-contact shaping method for fiber metal laminates using a laser source. Int J Adv Manuf Technol 47:557–565
Pennuto J, Choi J (2005) Characteristics of parallel irradiations in laser forming of stainless steel. J Laser Appl 17(4):235–242
Liu C, Yao YL (2002) Optimal and robust design of the laser forming process. J Manuf Process 4:52–66
Cheng PJ, Lin SC (2000) Using neural networks to predict bending angle of sheet metal formed by laser. Int J Mach Tools Manuf 40:1185–1197
Birnbaum AJ, Cheng P, Yao YL (2007) Effects of clamping on the laser forming process. J Manuf Sci Eng 129:1035–1044
Shi Y, Hu J, Dong C (2011) Analysis of the geometric effect on the forming accuracy in laser forming. Proceedings of the Institution of Mechanical Engineers, Part B: J Eng Manuf 225:1792–1800
Cheng J, Yao YL (2001) Cooling effects in multi-scan laser forming. J Manuf Process 3:60–72
Edwardson SP, Abed E, Bartkowiak K, Dearden G, Watkins KG (2006) Geometric influences on multi-pass forming. J Phys D Appl Phys 39:382–389
Edwardson SP, Griffiths J, Dearden G, Watkins KG (2010) Temperature gradient mechanism: overview of the multiple pass controlling factors. Phys Procedia 5:53–63
Majumdar JD, Nath AK, Manna I (2004) Studies on laser bending of stainless steel. Mater Sci Eng A 385:113–122
Walczak M, Grez JR, Celentano D, Lima EBF (2010) Sensitization of AISI 302 stainless steel during low-power laser forming. Opt Lasers Eng 48:906–914
Knupfer SM, Paradowska AM, Kirstein O, Moore AJ (2012) Characterization of the residual strains in iterative laser forming. J Mater Process Technol 212:90–99
Maji K, Pratihar DK (2011) Modeling of electrical discharge machining process using conventional regression analysis and genetic algorithms. J Mater Eng Perform 20:1121–1127
Sun Y, Hao M (2012) Statistical analysis and optimization of process parameters in Ti6Al4V laser cladding using Nd:YAG laser. Opt Lasers Eng 50:985–995
Steen WM, Mazumder J (2010) Laser material processing, 4th edn. Springer, London
Montgomery DC (2001) Design and analysis of experiments. Wiley, New York
Dean A, Voss D (2006) Design and analysis of experiments. Springer (India), New Delhi
Minitab Inc. (2004) Minitab 14, Statistical Software. http://www.minitab.com
Dowden JM (2001) The mathematics of thermal modeling: an introduction to the theory of laser materials processing. Chapman and Hall CRC Press, Florida
Yu G, Masubuchi K, Maekawa T, Patrikalakis NM (2001) FEM simulation of laser forming of metal plates. J Manuf Sci Eng 123:405–410
Cheng P, Yao YL, Liu C, Pratt D, Fan Y (2005) Analysis and prediction of size effect on laser forming of sheet metal. J Manuf Process 7:28–41
Jha GC, Nath AK, Roy SK (2008) Study of edge effect and multi-curvature in laser bending of AISI 304 stainless steel. J Mater Process Technol 197:434–438
Derringer G, Suich R (1980) Simultaneous optimization of several response variables. J Qual Technol 12(4):214–219
Dieter GE (1986) Mechanical metallurgy, 3rd edn. Mc Graw-Hill, New York
Bartkowiak K, Dearden G, Edwardson SP, Watkins K (2004) Development of 2D and 3D forming strategies for thin section materials using scanning optics. Proc. of ICALEO Laser Institute of America, Orlando
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Maji, K., Pratihar, D.K. & Nath, A.K. Experimental investigations, modeling, and optimization of multi-scan laser forming of AISI 304 stainless steel sheet. Int J Adv Manuf Technol 83, 1441–1455 (2016). https://doi.org/10.1007/s00170-015-7675-0
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DOI: https://doi.org/10.1007/s00170-015-7675-0