Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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Study of Al-Alloy Foam Compressive Behavior Based on Instrumented Sharp Indentation Technology

  • Kim Am-Kee (Division of Mechanical and Automotive Engineering, Kongju National University) ;
  • Tunvir Kazi (Division of Mechanical and Automotive Engineering, Kongju National University)
  • Published : 2006.06.01
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Abstract

The stress-strain relation of aluminum (Al) alloy foam cell wall was evaluated by the instrumented sharp indentation method. The indentation in a few micron ranges was performed on the cell wall of Al-alloy foam having a composition or Al-3wt.%Si-2wt.%Cu-2wt.%Mg as well as its precursor (material prior to foaming). To extract the stress-stram relation in terms of yield stress ${\sigma}_y$, strain hardening exponent n and elastic modulus E, the closed-form dimensionless relationships between load-indentation depth curve and elasto-plastic property were used. The tensile properties of precursor material of Al-alloy foam were also measured independently by uni-axial tensile test. In order to verify the validity of the extracted stress-strain relation, it was compared with the results of tensile test and finite element (FE) analysis. A modified cubic-spherical lattice model was proposed to analyze the compressive behavior of the Al-alloy foam. The material parameters extracted by the instrumented nanoindentation method allowed the model to predict the compressive behavior of the Al-alloy foam accurately.

Keywords

References

  1. Andrews, E. W., Gioux, G., Onck, P. and Gibson, L. J., 2001, 'Size Effects in Ductile Cellular Solids. Part II: Experimental Results,' International Journal of Mechanical Science, Vol. 43, pp.701-713 https://doi.org/10.1016/S0020-7403(00)00043-6
  2. Chen, X., Xiang, Y. and Vlassak, J. J., 2005, 'A Novel Technique for Measuring the Mechanical Properties of Porous Materials by Nanoindentation,' Journal of Materials Research, In press https://doi.org/10.1557/JMR.2006.0088
  3. Dao, M., Chollacoop, N., Van Vliet, K. J., Venkatesh, A. and Suresh, S., 2001, 'Computational Modeling of the Forward and Reverse Problems in Instrumented Sharp Indentation,' Acta Materialia, Vol. 49, pp. 3899-3918 https://doi.org/10.1016/S1359-6454(01)00295-6
  4. Dejun, M., Kewei, X. and Jiawen, H., 1994, 'Numerical Simulation for Determining the Mechanical Properties of Thin Metal Films Using Depth-Sensing Indentation Technique,' Thin Solid Films, Vol. 323, pp. 183-187 https://doi.org/10.1016/S0040-6090(97)01054-7
  5. Hucko, B. and Faria, L., 1997, 'Material Model of Metallic Cellular Solids,' Computers & Structures, Vol. 62, No.6, pp. 1049-1057 https://doi.org/10.1016/S0045-7949(96)00310-0
  6. Kenesei, P., Kadar, C., Rajkovits, Zs. and Lendvai, J., 2004, 'The Influence of Cell Size Distribution on the Plastic Deformation in Metal Foams,' Scripta Materialia, Vol. 50, pp.295-300 https://doi.org/10.1016/j.scriptamat.2003.09.046
  7. Kim, A., Cho, S. S. and Lee, H. H., 2004, 'Foaming Behavior of AI-Si-Cu-Mg Alloys,' Materials Science and Technology, Vol. 20, pp. 1615-1620 https://doi.org/10.1179/026708304X11297
  8. Kim, A., Tunvir, K., Park, S. J., Jeong, G. D., Hasan, M. A. and Cheon, S. S., 2005, 'Study on Compressive Behavior of Heterogeneous AI-alloy Foam by Cruciform-Hemisphere Model,' Proc. KSME 2005 Spring Conference, pp. 500- 505
  9. King, R. B., 1987, 'Elastic Analysis of Some Punch Problems for a Layered Medium,' International Journal of Solids Structure, Vol. 23, pp. 1657-1664 https://doi.org/10.1016/0020-7683(87)90116-8
  10. Kunert, M., 2000, 'Mechanical Properties on Nanometer Scale and Their Relations to Composition and Microstructure-AN anoindentation Study on Carbon Implanted Ti-Al-4V,' Ph. D. Dissertation, Max-Planck- Institute for Metallforschung, Stuttgart
  11. Lichinchi, M., Lenardi, c., Haupt, J. and Vitaly, R., 1998, 'Simulation of Berkovich Nanoindentation Experiments on Thin Films Using Finite Element Method,' Thin Solid Films, Vol. 312, pp.240-248 https://doi.org/10.1016/S0040-6090(97)00739-6
  12. Meguid, S. A., Cheon, S. S. and Abbasi, N. EI., 2002, 'FE Modeling of Deformation Localization in Metallic Foams,' Finite Elements in Analysis and Design, Vol. 38, pp. 631- 643 https://doi.org/10.1016/S0168-874X(01)00096-8
  13. Nanoindentation XP User's manual (version. 16). Test Works 4 Software pp. 32-34
  14. Overaker, D. W., Cuitino, A. M. and Langrana, N. A., 1998, 'Effects of Morphology and Orientation on the Behavior of Two Dimensional Hexagonal Foams and Application in a Re-entrant Foam Anchor Model,' Mechanics of Materials, Vol. 29, pp. 43-52 https://doi.org/10.1016/S0167-6636(98)00004-0
  15. Santosa, S. and Wierzbicki, T., 1998, 'On the Modeling of Crush Behavior of a Closed Cell Aluminum Foam Structure,' Journal of the Mechanics and Physics of solids, Vol. 46, pp.645-669 https://doi.org/10.1016/S0022-5096(97)00082-3
  16. Simone, A. E. and Gibson, L. J., 1998, 'The Effects of Cell Face Curvature and Corrugations on the Stiffness and Strength of Metallic Foams,' Acta Mater, Vol. 46, pp. 3929-3935 https://doi.org/10.1016/S1359-6454(98)00072-X
  17. Tabor, D., 1951, Hardness of metals, Clarendon Press, Oxford, UK (1951)