Skip to main content
Log in

Effect of fractal distribution of the porosity on mechanical properties of Al foams manufactured by infiltration

  • Technical Paper
  • Published:
Journal of the Brazilian Society of Mechanical Sciences and Engineering Aims and scope Submit manuscript

Abstract

Mechanical properties of metallic foams are highly dependent on the characteristics of porosity. In the case of foams manufactured using space holder particles (SHPs), parameters such as percentage porosity, pore size and cell wall thickness are directly contingent on the SHP used. In this work, different fractal distributions of SHPs were introduced in order to modify the resulting porosity. An Al–Si–Cu alloy was used as raw material for producing metallic foams by infiltration, while NaCl particles of 2 and 4 mm were used as SHPs, modifying the small-to-large particle ratio and fractal dimensions. Cylindrical foams of 10 cm in height and 5 cm in diameter were obtained by infiltrating the Al alloy into the SHPs. Results showed that the use of fractal distribution allowed to slightly increase the percentage porosity, whereas the most important effect was the decrease in cell wall thickness when fractal dimension increased. Mechanical properties were directly affected by these modifications, decreasing when fractality was induced. Finite element analysis models of the foams were obtained in a combination with discrete element method, in order to simulate their compressive elastic behaviors. Young’s modulus estimations were in excellent agreement with experimental results, validating the effect of fractal inclusion and the importance of the correct model selection.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Banhart J (2007) Metal foams-from fundamental research to applications. In: Baldev R, Ranganathan S, Rao KB, Matthew MD, Shankar P (eds) Frontiers in the design of materials. Universities Press Limited, Hyderabad, pp 279–289

    Google Scholar 

  2. García-Moreno F (2016) Commercial applications of metal foams: their properties and production. Materials 9:85. https://doi.org/10.3390/ma9020085

    Article  Google Scholar 

  3. Papadopoulos DP, Konstantinidis ICh, Papanastasiou N, Skolianos S, Lefakis H, Tsipas DN (2004) Mechanical properties of Al metal foams. Mater Lett 58(21):2574–2578. https://doi.org/10.1016/j.matlet.2004.03.004

    Article  Google Scholar 

  4. Banhart J (2001) Manufacture, characterisation and application of cellular metals and metal foams. Prog Mater Sci 46:559. https://doi.org/10.1016/S0079-6425(00)00002-5

    Article  Google Scholar 

  5. Jha N, Mondal DP, Dutta Majumdar J, Badkul A, Jha AK, Khare AK (2013) Highly porous open cell Ti-foam using NaCl as temporary space holder through powder metallurgy route. Mater Des 47:810–819. https://doi.org/10.1016/j.matdes.2013.01.005

    Article  Google Scholar 

  6. Pérez L, Lascano S, Aguilar C, Domancic D, Alfonso I (2015) Simplified fractal FEA model for the estimation of the Young’s modulus of Ti foams obtained by powder metallurgy. Mater Des 83:276–283. https://doi.org/10.1016/j.matdes.2015.06.038

    Article  Google Scholar 

  7. Altinkök N (2019) Modeling of the mechanical and physical properties of hybrid composites produced by gas pressure infiltration. J Braz Soc Mech Sci Eng 41:13. https://doi.org/10.1007/s40430-018-1518-5

    Article  Google Scholar 

  8. Mat Noor F, Zain MIM, Jamaludin KR, Hussin R, Kamdi Z, Ismail A, Ahmad S, Taib H (2014) Potassium bromide as space holder for titanium foam preparation. Appl Mech Mater 465–466:922–926. https://doi.org/10.4028/www.scientific.net/AMM.465-466.922

    Article  Google Scholar 

  9. Aristoff D, Radin C (2009) Random loose packing in granular matter. J Stat Phys 135:1–23. https://doi.org/10.1007/s10955-009-9722-4

    Article  MathSciNet  MATH  Google Scholar 

  10. Chang CS, Wang JY, Ge L (2015) Modeling of minimum void ratio for sand-silt mixtures. Eng Geol 196:293–304. https://doi.org/10.1016/j.enggeo.2015.07.015

    Article  Google Scholar 

  11. Groot R, Stoyanov S (2011) Close packing density and fracture strength of adsorbed polydisperse particle layers. Soft Matter 7:4750–4761. https://doi.org/10.1039/C0SM00859A

    Article  Google Scholar 

  12. Mandelbrot BB, Passoja DE, Paullay AJ (1984) Fractal character of fracture surface of metals. Nature 308:721–722. https://doi.org/10.1038/308721a0

    Article  Google Scholar 

  13. Muñoz S, Castillo SM, Torres Y (2018) Different models for simulation of mechanical behaviour of porous materials. J Mech Behav Biomed 80:88–96. https://doi.org/10.1016/j.jmbbm.2018.01.026

    Article  Google Scholar 

  14. Pérez L, Lascano S, Aguilar C, Estay D, Messner U, Figueroa IA, Alfonso I (2015) DEM–FEA estimation of pores arrangement effect on the compressive Young’s modulus for Mg foams. Comput Mater Sci 110:281–286. https://doi.org/10.1016/j.commatsci.2015.08.042

    Article  Google Scholar 

  15. Chawla N, Sidhu RS, Ganesh VV (2006) Three-dimensional visualization and microstructure-based modeling of deformation in particle-reinforced composites. Acta Mater 5:1541–1548. https://doi.org/10.1016/j.actamat.2005.11.027

    Article  Google Scholar 

  16. Cundall PA, Strack OD (1979) A discrete numerical model for granular assemblies. Geotechnique 29:47–65. https://doi.org/10.1680/geot.1979.29.1.47

    Article  Google Scholar 

  17. Kloss C, Goniva C, Hager A, Amberger S, Pirker S (2012) Models, algorithms and validation for opensource DEM and CFD-DEM. Prog Comput Fluid Dyn 12:140–152. https://doi.org/10.1504/PCFD.2012.047457

    Article  MathSciNet  Google Scholar 

  18. Hasan A (2010) An improved model for FE modeling and simulation of closed cell Al-alloy foams. Adv Mater Sci Eng 2010:1–12. https://doi.org/10.1155/2010/567390

    Article  Google Scholar 

  19. Florek R, Simančík F, Nosko M, Harnúšková J (2010) Compression test evaluation method for aluminium foam parts of different alloys and densities. Powder Metall Prog 10:207–212

    Google Scholar 

  20. Zhu HX, Knott JF, Mills NJ (1997) Analysis of the elastic properties of open-cell foams with tetrakaidecahedral cells. J Mech Phys Solids 45:319–343. https://doi.org/10.1016/S0022-5096(96)00090-7

    Article  Google Scholar 

  21. Warren WE, Kraynik AM (1988) The linear elastic properties of open-cell foams. J Appl Mech 55:341–346. https://doi.org/10.1115/1.3173680

    Article  Google Scholar 

  22. Gan YX, Chen C, Shen YP (2005) Three-dimensional modeling of the mechanical property of linearly elastic open cell foams. Int J Solids Struct 42:6628–6642. https://doi.org/10.1016/j.ijsolstr.2005.03.002

    Article  MATH  Google Scholar 

Download references

Acknowledgements

I. Alfonso would like to acknowledge the financial support from SEP CONACYT 285215 and UNAM PAPIIT IN117316. R. Drew acknowledges the financial support from PREI DGAPA UNAM. L. Pérez acknowledges the financial support from the Advanced Center for Electrical and Electronic Engineering, AC3E, Basal Project FB0008, CONICYT. R. Ganesan acknowledges the financial support from the Chilean Agency CONICYT (FONDECYT Project 3150411).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. Alfonso.

Additional information

Technical Editor: João Marciano Laredo dos Reis.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Carranza, J.C., Pérez, L., Ganesan, R. et al. Effect of fractal distribution of the porosity on mechanical properties of Al foams manufactured by infiltration. J Braz. Soc. Mech. Sci. Eng. 41, 379 (2019). https://doi.org/10.1007/s40430-019-1876-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40430-019-1876-7

Keywords

Navigation