Abstract
Heat-affected zone (HAZ) has adverse effects on the bonding of microfluidic devices and the transmission of fluids through the devices during operation. This results in microfluidic products of poor quality and low accuracy. This study employed adaptive neuro-fuzzy inference system (ANFIS) to investigate HAZ in CO2 laser micromachining of polymethyl methacrylate (PMMA). An aluminium wire of 99.95% purity was used for coating the PMMA substrates. The thickness of the coating was 500 nm. The effects of pulse rate (800, 900, and 1000 pulses per inch), speed (10, 15, and 20 mm/s), and power (1.5, 3.0, and 4.5 W) on HAZ were examined. Response surface methodology was used for designing the experiments. A total of 54 experiments were conducted. The ANFIS model was developed in the ANFIS toolbox in MATLAB R2022a. Gaussian membership function (gaussmf) type was used. Analysis of variance (ANOVA) was done to investigate the significance of the inputs on HAZ. Among the inputs, the most significant one is power proceeded by speed and pulse rate. The accuracy of the generated ANFIS model was investigated using the mean absolute error (MAE), correlation coefficient (R), and mean relative error (MRE). MAE, R and MRE were obtained as 0.485, 0.999991 (R2 = 0.999982), and 0.003306 respectively. The root mean square error (RMSE) was 0.478169 and 0.898504 for the training data and checking data respectively. Thus, the developed ANFIS model predicts the values of HAZ width with high accuracy.
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References
Ali U, Karim KJBA, Buang NA (2015) A review of the properties and applications of poly (Methyl Methacrylate) (PMMA). Polym Rev 55(4):678–705. https://doi.org/10.1080/15583724.2015.1031377
Aravind T, Boominathasellarajan S, Arunachalam N (2021) Fabrication of micro-channels on polymethyl methacrylate (PMMA) plates by thermal softening process using nichrome wire: tool design and surface property evaluation. Procedia Manuf 53:182–188. https://doi.org/10.1016/j.promfg.2021.06.088
Bakhtiyari AN, Wang Z, Wang L, Zheng H (2020) 2021 “A review on applications of artificial intelligence in modeling and optimization of laser beam machining.” Opt Laser Technol 135(November):106721. https://doi.org/10.1016/j.optlastec.2020.106721
Biswas S, Mandal K, Roy N, Biswas R, Kuar AS (2019a) Study on kerf width deviation of microchannel with various medium in laser transmission cutting by diode pump fiber laser. Mater Today: Proc. https://doi.org/10.1016/j.matpr.2019.12.419
Biswas S, Roy N, Biswas R, Kuar AS (2019b) Experimental investigation of varying laser pass on micro-channel characteristics of thick pmma by laser transmission micromachining. Mater Today Proc 18:3514–3520. https://doi.org/10.1016/j.matpr.2019.07.280
Chen X, Li T, Shen J (2016) CO2 laser ablation of microchannel on PMMA substrate for effective fabrication of microfluidic chips. Int Polym Process 31(2):233–238. https://doi.org/10.3139/217.3184
Chen X, Li T, Zhai K, Hu Z, Zhou M (2017) Using orthogonal experimental method optimizing surface quality of CO2 laser cutting process for PMMA microchannels. Int J Adv Manuf Technol 88(9–12):2727–2733. https://doi.org/10.1007/s00170-016-8887-7
Chopra S, Dhiman G, Sharma A, Shabaz M, Shukla P, Arora M (2021) Taxonomy of adaptive neuro-fuzzy inference system in modern engineering sciences. Comput Intell Neurosci 2021:1–14. https://doi.org/10.1155/2021/6455592
Helmy MO, Fath El-Bab AM, El-Hofy H (2015) Elimination of clogging in PMMA microchannels using water assisted CO2 laser micromachining. Appl Mech Mater 799–800:407–412. https://doi.org/10.4028/www.scientific.net/amm.799-800.407
Helmy MO, El-Bab ARF, El-Hofy HA (2018) Fabrication and characterization of polymethyl methacrylate microchannel using dry and underwater CO2 laser. Proc Inst Mech Eng Part N J Nanomater Nanoeng Nanosyst 232(1):23–30. https://doi.org/10.1177/2397791417749700
Hossain A, Yusoff N, Hassan MA (2015) A fuzzy logic based prediction model for kerf width in laser beam machining. Mater Manuf Process. https://doi.org/10.1080/10426914.2015.1037901
Khamar P, Prakash S (2020) Investigation of dimensional accuracy in CO2 laser cutting of PMMA. Mater Today: Proc. https://doi.org/10.1016/j.matpr.2020.04.711
Khoshaim AB, Elsheikh AH, Moustafa EB, Basha M, Showaib EA (2021) Experimental investigation on laser cutting of PMMA sheets: effects of process factors on kerf characteristics. J Mater Res Technol 11:235–246. https://doi.org/10.1016/j.jmrt.2021.01.012
Konari PR, Clayton YD, Vaughan MB, Khandaker M, Hossan MR (2021) Experimental analysis of laser micromachining of microchannels in common microfluidic substrates. Micromachines 12(2):1–13. https://doi.org/10.3390/mi12020138
Korkmaz E, Onler R, Ozdoganlar OB (2017) Micromilling of Poly(methyl methacrylate, PMMA) using single-crystal diamond tools. Procedia Manuf 10:683–693. https://doi.org/10.1016/j.promfg.2017.07.017
Madić M, Mladenović S, Gostimirović M, Radovanović M, Janković P (2020) Laser cutting optimization model with constraints: Maximization of material removal rate in CO2 laser cutting of mild steel. Proc Inst Mech Eng Part B J Eng Manuf 234(10):1323–1332. https://doi.org/10.1177/0954405420911529
Moradi M, Mehrabi O, Azdast T, Benyounis KY (2017) Enhancement of low power CO2 laser cutting process for injection molded polycarbonate. Opt Laser Technol 96:208–218. https://doi.org/10.1016/j.optlastec.2017.05.022
Mushtaq RT, Wang Y, Rehman M, Khan AM, Mia M (2020) State-of-the-art and trends in CO2 laser cutting of polymeric materials-a review. Materials. https://doi.org/10.3390/ma13173839
Muthuramalingam T, Saravanakumar D, Babu LG, Huu Phan N, Pi VN (2020a) Experimental investigation of white layer thickness on EDM processed silicon steel using ANFIS approach. SILICON 12(8):1905–1911. https://doi.org/10.1007/s12633-019-00287-2
Muthuramalingam T et al (2020b) Influence of process parameters on dimensional accuracy of machined Titanium (Ti-6Al-4V) alloy in laser beam machining process. Opt Laser Technol 132:106494. https://doi.org/10.1016/j.optlastec.2020.106494
Muthuramalingam T, Akash R, Krishnan S, Phan NH, Pi VN, Elsheikh AH (2021) Surface quality measures analysis and optimization on machining titanium alloy using CO2 based laser beam drilling process. J Manuf Process 62:1–6. https://doi.org/10.1016/j.jmapro.2020.12.008
Norkey G, Dubey AK, Agrawal S (2014) Artificial intelligence based modeling and optimization of heat affected zone in Nd:YAG laser cutting of duralumin sheet. J Intell Fuzzy Syst 27(3):1545–1555. https://doi.org/10.3233/IFS-141121
Nukman Y, Hassan MA, Harizam MZ (2013) Optimization of prediction error in CO2 laser cutting process by Taguchi artificial neural network hybrid with genetic algorithm. Appl Math Inf Sci 7(1):363–370. https://doi.org/10.12785/amis/070145
Okello JL, El-Bab AM, Yoshino M, El-Hofy HA, Hassan MA (2022) Modelling of surface roughness in CO2 laser ablation of aluminium-coated polymethyl methacrylate (PMMA) using adaptive neuro-fuzzy inference system (ANFIS) in Volume 2B: Advanced Manufacturing, American Society of Mechanical Engineers. doi: https://doi.org/10.1115/IMECE2022-92024
Okello JL, El-Bab AMF, Yoshino M, El-Hofy HA (2023a) CO2 Laser Fabrication of a passive continuous-flow T-shaped polymethyl methacrylate (PMMA) micromixer. Lasers Manuf Mater Process. https://doi.org/10.1007/s40516-023-00212-x
Okello JL, El-Bab AMRF, Yoshino M, El-Hofy HA (2023b) Optimization of surface roughness in CO2 laser ablation of aluminium-coated polymethyl methacrylate (PMMA) using response surface methodology. Multiscale Multidiscip Model Exp Des. https://doi.org/10.1007/s41939-023-00158-9
Pandey AK, Dubey AK (2012) Taguchi based fuzzy logic optimization of multiple quality characteristics in laser cutting of Duralumin sheet. Opt Lasers Eng 50(3):328–335. https://doi.org/10.1016/j.optlaseng.2011.11.005
Pandey AK, Dubey AK (2013) Fuzzy expert system for prediction of kerf qualities in pulsed laser cutting of titanium alloy sheet. Mach Sci Technol 17(4):545–574. https://doi.org/10.1080/10910344.2013.806182
Parandoush P, Hossain A (2014) A review of modeling and simulation of laser beam machining. Int J Mach Tools Manuf 85:135–145. https://doi.org/10.1016/j.ijmachtools.2014.05.008
Patel P, Sheth S, Patel T (2016) Experimental analysis and ANN modelling of HAZ in laser cutting of glass fibre reinforced plastic composites. Procedia Technol 23:406–413. https://doi.org/10.1016/j.protcy.2016.03.044
Peko I, Nedić B, Dunđer M, Samardžić I (2020) Modelling of dross height in plasma jet cutting process of aluminium alloy 5083 using fuzzy logic technique. Teh Vjesn 27(6):1767–1773. https://doi.org/10.17559/TV-20191031133310
Prakash S, Kumar S (2015a) Fabrication of microchannels: a review. Proc Inst Mech Eng Part B J Eng Manuf 229(8):1273–1288. https://doi.org/10.1177/0954405414535581
Prakash S, Kumar S (2015b) “Energy based analysis of laser microchanneling process on polymethyl methacrylate (PMMA). Topics in mining, metallurgy and materials engineering. Springer Science and Business Media Deutschland GmbH, pp 239–253. https://doi.org/10.1007/978-81-322-2352-8_14
Prakash S, Kumar S (2016) CO2 laser microchanneling process: effects of compound parameters and pulse overlap**. IOP Conference Series: Materials Science and Engineering, Institute of Physics Publishing. doi: https://doi.org/10.1088/1757-899X/149/1/012018
Prakash S, Kumar S (2017a) Experimental investigations and analytical modeling of multi-pass CO2 laser processing on PMMA. Precis Eng 49:220–234. https://doi.org/10.1016/j.precisioneng.2017.02.010
Prakash S, Kumar S (2017b) Fabrication of rectangular cross-sectional microchannels on PMMA with a CO2 laser and underwater fabricated copper mask. Opt Laser Technol 94:180–192. https://doi.org/10.1016/j.optlastec.2017.03.034
Prakash S, Kumar S (2021) Determining the suitable CO2 laser based technique for microchannel fabrication on PMMA. Opt Laser Technol. https://doi.org/10.1016/j.optlastec.2021.107017
Prakash S, Acherjee B, Kuar AS, Mitra S (2013) An experimental investigation on Nd:YAG laser microchanneling on polymethyl methacrylate submerged in water. Proc Inst Mech Eng Part B J Eng Manuf 227(4):508–519. https://doi.org/10.1177/0954405412472178
Ravi-Kumar S, Lies B, Lyu H, Qin H (2019) Laser ablation of polymers: a review. Procedia Manuf. https://doi.org/10.1016/j.promfg.2019.06.155
Sahu HB, Mahapatra SS (2013) Forecasting Spontaneous Heating Susceptibility of Indian Coals Using Neuro-Fuzzy System. Geotech Geol Eng 31(2):683–697. https://doi.org/10.1007/s10706-013-9618-6
Syn CZ, Mokhtar M, Feng CJ, Manurung YHP (2011) Approach to prediction of laser cutting quality by employing fuzzy expert system. Expert Syst Appl 38(6):7558–7568. https://doi.org/10.1016/j.eswa.2010.12.111
Zhang SJ, Shin YC (2017) Effective methods for fabricating trapezoidal shape microchannel of arbitrary dimensions on polymethyl methacrylate (PMMA) substrate by a CO2 laser. Int J Adv Manuf Technol 93(1–4):1079–1094. https://doi.org/10.1007/s00170-017-0445-4
Acknowledgements
Heartfelt appreciation is extended to JICA for the TICAD7 scholarship offered to the first author. The valuable assistance offered by the Science and Technology Development Fund (STDF-12417) project is acknowledged. Special thanks go to Shimaa Elsayed Ibrahim, Alwala Amos, and Moataz Abdel Karim for their vital support.
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JLO: conceptualization, methodology, software, data curation, visualization, formal analysis, investigation, validation, writing-original draft preparation. AMFE-B: supervision, resources, project administration, writing-reviewing, and editing. MY: supervision, writing-reviewing, and editing. HAE-H: supervision, resources, project administration, writing–revision, and editing.
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Okello, J.L., El-Bab, A.M.R.F., Yoshino, M. et al. Modelling of heat-affected zone (HAZ) in CO2 laser micromachining of aluminium-coated polymethyl methacrylate (PMMA) using adaptive neuro-fuzzy inference system (ANFIS). Multiscale and Multidiscip. Model. Exp. and Des. 7, 617–629 (2024). https://doi.org/10.1007/s41939-023-00234-0
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DOI: https://doi.org/10.1007/s41939-023-00234-0