Computational analysis as a tool for the study of the porosity system and the mechanical properties of fractal metal foams
DOI:
https://doi.org/10.31349/RevMexFis.71.041002Keywords:
Metal Foams, Fractal, Discrete Element Method, Finite Element Method, PorosityAbstract
This work studies possible morphologies present in fractal foams with dual pore distribution, focalizing the analysis in features characterizing the pore network. These studies were conducted using foams modelled through the combined use of Discrete and Finite Element Methods (DEM and FEM, respectively). DEM was used to generate pore coordinates, for in a second step modelling pores of varied sizes using FEM. These models allowed to obtain fractal foams with morphologies closer to real experimental foams, which is essential for the subsequent estimation of their mechanical properties through FEM. Using different measurement methods, some analyzes were carried out, such as the effect of the dimension of the Representative Volume Element (RVE) on the porosity percentage, the number of nodes until a convergent behavior, the interconnectivity of the pores, the importance of the pore wall thickness and the fractal dimension determination. The effect of these parameters on the simulated mechanical properties of the foams was analyzed throw the use of FEM.
References
F. García-Moreno, Commercial applications of metal foams: Their properties and production, Materials 9 (2016) 85, https://doi.org/10.3390/ma9020085
T. Wan, Y. Liu, C. Zhou, X. Chen, Y. Li, Fabrication, properties, and applications of open-cell aluminum foams: A review, J. Mater. Sci. Technol. 62 (2021) 11, https://doi.org/10.1016/j.jmst.2020.05.039
C. Kádár, P. Kubelka, A. Szlancsik. On the compressive properties of aluminum and magnesium syntactic foams: Experiment and simulation, Mater. Today Comm. 35 (2023) 106060, https://doi.org/10.1016/j.mtcomm.2023.106060
J. Banhart, Manufacture, characterization and application of cellular metals and metal foams, Prog. Mater. Sci. 46 (2001) 559, https://doi.org/10.1016/S0079-6425(00)00002-5
P. Colombo, D.C. Dunand, V. Kumar, Porous materials: Less is more, J. Mater. Res. 28 (2013) 2187, https://doi.org/10.1557/jmr.2013.232
X.Y. Yang, L.H. Li, Y. Li, J.C. Rooke, C. Sanchez, and B.L. Su, Hierarchically porous materials: synthesis strategies and structure design, Chem. Soc. Rev. 46 (2017) 481, https://doi.org/10.1039/c6cs00829a
B.Y. Casas, J.C. Carranza, L. Béjar, C. Aguilar, I.A. Figueroa, and I. Alfonso, Production of aluminum foams with hierarchical porosity by a combination of two different manufacturing methods. J. Alloy Compd. 831 (2020) 154780, https://doi.org/10.1016/j.jallcom.2020.154780
A. Hassan, I.A. Alnaser, A review of different manufacturing methods of metallic foams, ACS Omega 9 (2024) 6280, https://doi.org/10.1021/acsomega.3c08613
A. Kulshreshtha, S.K. Dhakad, Preparation of metal foam by different methods: A review, Mater. Today-Proc. 26 (2020) 1784, https://doi.org/10.1016/j.matpr.2020.02.375
A. Nawaz, S. Rani, Fabrication methods and property analysis of metal foams - a technical overview, Mater. Sci. Tech. 39 (2023) 1877, https://doi.org/10.1080/02670836.2023.2186068
L. Pérez, S. Lascano, C. Aguilar, D. Domancic, I. Alfonso, Simplified fractal FEA model for the estimation of the Young’s modulus of Ti foams obtained by powder metallurgy, Mater. Design 83 (2015) 276, https://doi.org/10.1016/j.matdes.2015.06.038
N. Behymer, K. Morsi, Review: Closed-cell metallic foams produced via powder metallurgy, Metals 13 (2023) 959, https://doi.org/10.3390/met13050959
C Reyes, L. Béjar, J.C. Carranza, P. Pérez, L. Pérez, I. Alfonso, DEM-FEM combination for modelling and simulation of fractal metallic foams, Mater. Today Comm. 34 (2023) 105054, https://doi.org/10.1016/j.mtcomm.2022.105054
J. C. Carranza, L. Pérez, R. Ganesan, B.Y. Casas, R.A.L. Drew, C. Ruiz-Aguilar, I.A. Figueroa, I. Alfonso, Effect of fractal distribution of the porosity on mechanical properties of Al foams manufactured by infiltration, J. Braz. Soc. Mech. Sci. 41 (2019) 379, https://doi.org/10.1007/s40430-019-1876-7
S.K. Sebsadji, K. Chouicha, Determining periodic representative volumes of concrete mixtures based on the fractal analysis, Int. J. Solids Struct. 49 (2012) 2941, https://doi.org/10.1016/j.ijsolstr.2012.05.017
C. Kloss, C. Goniva, A. Hager, S. Amberger, S. Pirker. Models, algorithms and validation for opensource DEM and CFDDEM. Prog. Comput. Fluid Dyn. 12 (2012) 140, https://doi.org/10.2298/TAM210129005R
Y. Hu, Q. Fang, J. Qian, Effect of cell structure on the uniaxial compression properties of closed-cell foam materials, Mater. Today Comm. 26 (2021) 102104, https://doi.org/10.1016/j.mtcomm.2021.102104
C. Grill, S. Diebels, A. Jung, Determination of an RVE and identifying a representative idealised model for specific surface and volume of metal foams, Mater. Today Comm. 38 (2024) 108317, https://doi.org/10.1016/j.mtcomm.2024.108317
J.C. Carranza, B.Y. Casas, I. Alfonso, L. Pérez, R.A.L. Drew, J.A. Verduzco, I.A. Figueroa. Estimation of the pores agglomeration effect on the compressive behavior of metallic foams: infiltration and powder metallurgy study cases, J. Theor. Appl. Mech. 50 (2020) 176, https://doi.org/10.7546/JTAM.50.20.02.07
R. Thiyagarajan, M. Senthil Kumar, A review on closed cell metal matrix syntactic foams: A green initiative towards eco-sustainability, Mater. Manuf. Process. 36 (2021) 1333, https://doi.org/10.1080/10426914.2021.1928696
C. Reyes, I. Alfonso, L. Béjar, L. Pérez, C. Aguilar, J.C. Carranza, L.E. Carranza, Use of the fractal dimension for porosity modification in aluminum foams manufactured using space holder particles, Theor. Appl. Mech. 48 (2021) 109, https://doi.org/10.2298/TAM210129005R
M. Ashby, The properties of foams and lattices, Philos. Trans. R. Soc. A Math. Phys. Eng. Sci. 364 (2005) 15, https://doi.org/10.1098/rsta.2005.1678
H.X. Zhu, N.J. Mills, J.F. Knott, Analysis of the high strain compression of open cell foams, J. Mech. Phys. Solids 45 (1997) 1875, https://dx.doi.org/10.1016/S0022-5096(97)00027-6
W.E. Warren, A.M. Kraynik, The linear elastic properties of open cell foams, J. Appl. Mech. 55 (1988) 341, https://dx.doi.org/10.1115/1.3173680
L.F. Nielsen, Elasticity and damping of porous materials and impregnated materials, J. Am. Ceram. Soc. 67 (1984) 93, https://dx.doi.org/10.1111/j.1151-2916.1984.tb09622.x
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