Abstract
Aluminum foam is a multifunctional material with excellent shock absorption and heat-insulating properties and is expected to be used in many industrial fields. Since aluminum foam is fabricated by foaming aluminum, variations in pore structures can be observed even when foaming is conducted under the same conditions. Therefore, the establishment of a quality assurance method for the properties of aluminum foam as a product is a major issue. In this study, we attempted to estimate the plateau stress of aluminum foam by machine learning using only X-ray computed tomography (CT) images. A supervised learning neural network model was created using the obtained X-ray CT images of the entire three-dimensional structure and a set of plateau stresses obtained from actual compression tests of the corresponding aluminum foam. Using the created model, we showed that the plateau stress of a new aluminum foam compression specimen, which was different from the aluminum foam compression specimens used for training, can be estimated from X-ray CT images only. That is, it was shown that the mechanical properties of materials with complex geometries, such as foam, can be predicted nondestructively. In the future, it is expected to predict the mechanical properties of the foam by X-ray transmission and visual photographs, which are easier to obtain. We also showed that as the resolution of X-ray CT images improved, the mean error became smaller, namely, the estimation accuracy improved.
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References
García-Moreno F (2016) Commercial applications of metal foams: their properties and production. Materials 9(2):85. https://doi.org/10.3390/ma9020085
Duarte I, Vesenjak M, Vide MJ (2019) Automated continuous production line of parts made of metallic foams. Metals 9(5):531. https://doi.org/10.3390/met9050531
Zhang J, An Y, Ma H (2022) Research progress in the preparation of aluminum foam composite structures. Metals 12(12):2047. https://doi.org/10.3390/met12122047
Chen D, Gao K, Yang J, Zhang L (2023) Functionally graded porous structures: analyses, performances, and applications – A review. Thin-Walled Struct 191:111046. https://doi.org/10.1016/j.tws.2023.111046
Neu TR, Heim K, Seeliger W, Kamm PH, García-Moreno F (2024) Aluminum foam sandwiches: a lighter future for car bodies. JOM. https://doi.org/10.1007/s11837-024-06460-2
Fu W, Li Y (2024) Fabrication, processing, properties, and applications of closed-cell aluminum foams: a review. Materials 17(3):560
Singh P, Sheikh J, Behera BK (2024) Metal-faced sandwich composite panels: a review. Thin-Walled Struct 195:111376. https://doi.org/10.1016/j.tws.2023.111376
Ji C, Huang H, Wang T, Huang Q (2023) Recent advances and future trends in processing methods and characterization technologies of aluminum foam composite structures: a review. J Manuf Process 93:116–152. https://doi.org/10.1016/j.jmapro.2023.03.015
Ashby MF, Evans T, Fleck N, Hutchinson JW, Wadley HNG, Gibson LJ (2000) Metal foams: a design guide. Elsevier Science
Wan T, Liu Y, Zhou C, Chen X, Li Y (2021) Fabrication, properties, and applications of open-cell aluminum foams: a review. J Mater Sci Technol 62:11–24. https://doi.org/10.1016/j.jmst.2020.05.039
Al-Ketan O, Rowshan R, Abu Al-Rub RK (2018) Topology-mechanical property relationship of 3D printed strut, skeletal, and sheet based periodic metallic cellular materials. Additive Manuf 19:167–183. https://doi.org/10.1016/j.addma.2017.12.006
Liu X, Wada T, Suzuki A, Takata N, Kobashi M, Kato M (2021) Understanding and suppressing shear band formation in strut-based lattice structures manufactured by laser powder bed fusion. Mater Des 199:109416. https://doi.org/10.1016/j.matdes.2020.109416
Guo S, Yue X, Kitazono K (2021) Anisotropic compression behavior of additively manufactured porous titanium with ordered open-cell structures at different temperatures. Mater Trans 62(12):1771–1776. https://doi.org/10.2320/matertrans.MT-M2021149
Toda H, Ohgaki T, Uesugi K, Kobayashi M, Kuroda N, Kobayashi T, Niinomi M, Akahori T, Makii K, Aruga Y (2006) Quantitative assessment of microstructure and its effects on compression behavior of aluminum foams via high-resolution synchrotron X-ray tomography. Metall Mater Trans a-Physical Metall Mater Sci 37A(4):1211–1219. https://doi.org/10.1007/s11661-006-1072-0
Veyhl C, Belova IV, Murch GE, Fiedler T (2011) Finite element analysis of the mechanical properties of cellular aluminium based on micro-computed tomography. Mater Sci Engineering: A 528(13):4550–4555. https://doi.org/10.1016/j.msea.2011.02.031
Kozma I, Zsoldos I (2019) CT-based tests and finite element simulation for failure analysis of syntactic foams. Eng Fail Anal 104:371–378. https://doi.org/10.1016/j.engfailanal.2019.06.003
Duarte I, Fiedler T, Krstulović-Opara L, Vesenjak M (2020) Brief review on experimental and computational techniques for characterization of Cellular metals. Metals 10(6):726. https://doi.org/10.3390/met10060726
Heitor D, Duarte I, Dias-de-Oliveira J (2021) Aluminium alloy foam modelling and prediction of elastic properties using X-ray microcomputed tomography. Metals 11. https://doi.org/10.3390/met11060925
Peng C, Liu C, Liao Z, Yang B, Tang L, Yang L, Jiang Z (2022) Automatic 3D image based finite element modelling for metallic foams and accuracy verification of digital volume correlation. Int J Mech Sci 235:107715. https://doi.org/10.1016/j.ijmecsci.2022.107715
Dargan S, Kumar M, Ayyagari MR, Kumar G (2020) A survey of deep learning and its applications: a new paradigm to machine learning. Arch Comput Methods Eng 27(4):1071–1092. https://doi.org/10.1007/s11831-019-09344-w
Gibson GM, Johnson SD, Padgett MJ (2020) Single-pixel imaging 12 years on: a review. Opt Express 28(19):28190–28208. https://doi.org/10.1364/oe.403195
Dong S, Wang P, Abbas K (2021) A survey on deep learning and its applications. Comput Sci Rev 40:100379. https://doi.org/10.1016/j.cosrev.2021.100379
Sun H, Burton HV, Huang H (2021) Machine learning applications for building structural design and performance assessment: state-of-the-art review. J Building Eng 33:101816. https://doi.org/10.1016/j.jobe.2020.101816
Abdar M, Pourpanah F, Hussain S, Rezazadegan D, Liu L, Ghavamzadeh M, Fieguth P, Cao X, Khosravi A, Acharya UR, Makarenkov V, Nahavandi S (2021) A review of uncertainty quantification in deep learning: techniques, applications and challenges. Inform Fusion 76:243–297. https://doi.org/10.1016/j.inffus.2021.05.008
Alzubaidi L, Zhang J, Humaidi AJ, Al-Dujaili A, Duan Y, Al-Shamma O, Santamaría J, Fadhel MA, Al-Amidie M, Farhan L (2021) Review of deep learning: concepts, CNN architectures, challenges, applications, future directions. J Big Data 8(1):53. https://doi.org/10.1186/s40537-021-00444-8
Qiu Z, Sugio K, Sasaki G (2021) Classification of microstructures of Al–Si casting alloy in different cooling rates with machine learning technique. Mater Trans 62(6):719–725. https://doi.org/10.2320/matertrans.MT-MBW2020002
Suzuki A, Shiba Y, Ibe H, Takata N, Kobashi M (2022) Machine-learning assisted optimization of process parameters for controlling the microstructure in a laser powder bed fused WC/Co cemented carbide. Additive Manuf 59:103089. https://doi.org/10.1016/j.addma.2022.103089
Qiu Z, Sugio K, Sasaki G (2023) Microstructural classification of unmodified and strontium modified Al–Si–Mg casting alloys with machine learning techniques. Mater Trans 64(1):171–176. https://doi.org/10.2320/matertrans.MT-MBW2021001
Yaseen ZM, Deo RC, Hilal A, Abd AM, Bueno LC, Salcedo-Sanz S, Nehdi ML (2018) Predicting compressive strength of lightweight foamed concrete using extreme learning machine model. Adv Eng Softw 115:112–125. https://doi.org/10.1016/j.advengsoft.2017.09.004
Nguyen T, Kashani A, Ngo T, Bordas S (2019) Deep neural network with high-order neuron for the prediction of foamed concrete strength. Computer-Aided Civ Infrastruct Eng 34(4):316–332. https://doi.org/10.1111/mice.12422
Dudzik M, Stręk AM (2020) ANN architecture specifications for modelling of open-cell aluminum under compression. Math Probl Eng 2020:2834317. https://doi.org/10.1155/2020/2834317
Avalos-Gauna E, Zhao YY, Palafox L, Ortiz-Monasterio-Martinez P (2021) Porous metal properties analysis: a machine learning approach. Jom 73(7):2039–2049. https://doi.org/10.1007/s11837-021-04695-x
Rodríguez-Sánchez AE, Plascencia-Mora H (2022) A machine learning approach to estimate the strain energy absorption in expanded polystyrene foams. J Cell Plast 58(3):399–427. https://doi.org/10.1177/0021955x211021014
Ullah HS, Khushnood RA, Farooq F, Ahmad J, Vatin NI, Ewais DYZ (2022) Prediction of compressive strength of sustainable foam concrete using individual and ensemble machine learning approaches. Materials 15(9):3166. https://doi.org/10.3390/ma15093166
Hangai Y, Okada K, Tanaka Y, Matsuura T, Amagai K, Suzuki R, Nakazawa N (2022) Classification of mechanical properties of aluminum foam by machine learning. Mater Trans 63(2):257–260. https://doi.org/10.2320/matertrans.MT-M2021130
JIS-H-7009 (2008) Glossary of terms used in porous metals. Japanese Standards Association
Hangai Y, Ozawa S, Okada K, Tanaka Y, Amagai K, Suzuki R (2023) Machine learning estimation of plateau stress of aluminum foam using X-ray computed tomography images. Materials 16(5):1894. https://doi.org/10.3390/ma16051894
Baumgartner F, Duarte I, Banhart J (2000) Industrialization of powder compact foaming process. Adv Eng Mater 2(4):168–174. https://doi.org/10.1002/(SICI)1527-2648::AID-ADEM168>3.0.CO;2-O
Duarte I, Banhart J (2000) A study of aluminium foam formation - kinetics and microstructure. Acta Mater 48(9):2349–2362. https://doi.org/10.1016/S1359-6454(00)00020-3
Hangai Y, Utsunomiya T, Hasegawa M (2010) Effect of tool rotating rate on foaming properties of porous aluminum fabricated by using friction stir processing. J Mater Process Technol 210(2):288–292. https://doi.org/10.1016/j.jmatprotec.2009.09.012
Hangai Y, Takahashi K, Yamaguchi R, Utsunomiya T, Kitahara S, Kuwazuru O, Yoshikawa N (2012) Nondestructive observation of pore structure deformation behavior of functionally graded aluminum foam by X-ray computed tomography. Mater Sci Eng A 556:678–684. https://doi.org/10.1016/j.msea.2012.07.047
Hangai Y, Amagai K, Omachi K, Tsurumi N, Utsunomiya T, Yoshikawa N (2018) Forming of aluminum foam using steel mesh as die during foaming of precursor by optical heating. Opt Laser Technol 108:496–501. https://doi.org/10.1016/j.optlastec.2018.07.016
Hangai Y, Masuda A, Suzuki R, Aoki Y, Matsubara M, Fujii H (2023) Easy dismantling and separation of friction stir-welded steel and aluminum by foaming. Int J Adv Manuf Technol 126:561–568. https://doi.org/10.1007/s00170-023-11139-0
JIS-H-7902 (2016) Method for compressive test of porous metals. Japanese Standards Association
Chlap P, Min H, Vandenberg N, Dowling J, Holloway L, Haworth A (2021) A review of medical image data augmentation techniques for deep learning applications. J Med Imaging Radiat Oncol 65(5):545–563. https://doi.org/10.1111/1754-9485.13261
Kokol P, Kokol M, Zagoranski S (2022) Machine learning on small size samples: a synthetic knowledge synthesis. Sci Prog 105(1). https://doi.org/10.1177/00368504211029777
Miyoshi T, Itoh M, Akiyama S, Kitahara A (2000) ALPORAS aluminum foam: production process, properties, and applications. Adv Eng Mater 2(4):179–183. https://doi.org/10.1002/(SICI)1527-2648(200004)2:4<179::AID-ADEM179>3.0.CO;2-G
Romano Y, Isidoro J, Milanfar P (2017) RAISR: Rapid and Accurate Image Super Resolution. Ieee Trans Comput Imaging 3(1):110–125. https://doi.org/10.1109/tci.2016.2629284
Aburaed N, Alkhatib MQ, Marshall S, Zabalza J, Al Ahmad H (2023) A review of spatial enhancement of hyperspectral remote sensing imaging techniques. Ieee J Sel Top Appl Earth Observations Remote Sens 16:2275–2300. https://doi.org/10.1109/jstars.2023.3242048
Zhang Y, Yu H (2018) Convolutional neural network based metal artifact reduction in X-ray computed tomography. IEEE Trans Med Imaging 37(6):1370–1381. https://doi.org/10.1109/TMI.2018.2823083
Han Y, Wu DF, Kim KS, Li QZ (2022) End-to-end deep learning for interior tomography with low-dose x-ray CT. Phys Med Biol 67(11). https://doi.org/10.1088/1361-6560/ac6560
Ziabari A, Venkatakrishnan SV, Snow Z, Lisovich A, Sprayberry M, Brackman P, Frederick C, Bhattad P, Graham S, Bingham P, Dehoff R, Plotkowski A, Paquit V (2023) Enabling rapid X-ray CT characterisation for additive manufacturing using CAD models and deep learning-based reconstruction. Npj Comput Mater 9(1):91. https://doi.org/10.1038/s41524-023-01032-5
Njiti MM, Osman ND, Mansor MS, Rabaiee NA, Abdul Aziz MZ (2024) Potential of metal artifact reduction (MAR) and deep learning-based Reconstruction (DLR) algorithms integration in CT metal artifact correction: a review. Radiat Phys Chem 218:111541. https://doi.org/10.1016/j.radphyschem.2024.111541
Acknowledgements
The authors would like to thank Osamu Kuwazuru of University of Fukui for his insightful comments and discussion.
Funding
This work was financially supported partly by Mitutoyo Association for Science and Technology (MAST) and JST-Mirai Program Grant Number JPMJMI19E5, Japan.
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Yoshihiko Hangai: conceptualization, project administration, writing—original draft, writing—review and editing
Yuki Sakaguchi: data curation, formal analysis, investigation
Yuma Kitahara: data curation, investigation
Tatsuki Takagi: methodology, resources
Okada Kenji and Tanaka Yuuki: investigation, methodology, resources
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Hangai, Y., Sakaguchi, Y., Kitahara, Y. et al. Plateau stress estimation of aluminum foam by machine learning using X-ray computed tomography images. Int J Adv Manuf Technol (2024). https://doi.org/10.1007/s00170-024-13670-0
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DOI: https://doi.org/10.1007/s00170-024-13670-0