Skip to main content
Log in

Measurement of the dynamic Young’s modulus of porous titanium and Ti6Al4V

  • Published:
Journal of Materials Science Aims and scope Submit manuscript

Abstract

The dynamic Young’s modulus of porous titanium and Ti6Al4V with various porosities was measured using the electromagnetic acoustic resonance method. The dependence of Young’s modulus (E) on the porosity (P) has been analysed in detail based on Phani–Niyogi relation \( \left(E = E_0 \left(1 - \frac{P} {{P_C }}\right)^n\right ) \) and Pabst–Gregorová relation \( \left(E = E_0 (1 - aP)\left(1 - \frac{P} {{P_C }}\right)\right) \). We find that both Phani–Niyogi relation and Pabst–Gregorová relation with fixed material constant n = 2 or a = 1 but varying P C can correctly account for the dependence of Young’s modulus on the porosity for porous titanium and Ti6Al4V.

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

Similar content being viewed by others

References

  1. Kutty MG, Bhaduri S, Bhaduri SB (2004) J Mater Sci: Mater Med 15:145

    Article  CAS  Google Scholar 

  2. Li JP, Li SH, Van Blitterswijk CA, De Groot K (2006) J Mater Sci: Mater Med 17:179

    Article  CAS  Google Scholar 

  3. Oh I, Nomura N, Masahahi N, Hanada S (2003) Scripta Mater 49:1197

    Article  CAS  Google Scholar 

  4. Dunand DC (2004) Adv Eng Mater 6:369

    Article  CAS  Google Scholar 

  5. Wen CE, Yamada Y, Shimojima K, Chino Y, Hosokawa H, Mabuchi M (2002) J Mater Res 17:2633

    CAS  Google Scholar 

  6. Li CF, Zhu ZG (2006) J Porous Mater 13:21

    Article  CAS  Google Scholar 

  7. Knudsen FP (1959) J Am Ceram Soc 44:376

    Article  Google Scholar 

  8. Spriggs RM (1961) J Am Ceram Soc 44:628

    Article  CAS  Google Scholar 

  9. Phani KK, Niyogi SK (1987) J Mater Sci 22:257

    Article  CAS  Google Scholar 

  10. Pabst W, Gregorová E (2004) J Mater Sci 39:3501

    Article  CAS  Google Scholar 

  11. Nowich S, Berry BS (1972) Anelastic relaxation in crystalline solids. Academic Press, New York; London, p 626

    Google Scholar 

  12. Wolfenden A, Harmouche MR, Blessing GV, Chen YT, Terranova P, Dayal V, Kinra VK, Lemmens JW, Phillips RR, Smith JS, Mahmoodi P, Wann RJ (1989) J Test Eval 17:2

    Google Scholar 

  13. Spinner S, Tefft WE (1991) Proc ASTM 61:1221.K

  14. Phani K, Mukerjee RN (1987) J Mater Sci 22:3453

    Article  CAS  Google Scholar 

  15. Kováčik J (1999) J Mater Sci 18:1007

    Google Scholar 

  16. Rice RW (1993) J Am Ceram Soc 76:1801

    Article  CAS  Google Scholar 

  17. Rice RW (1996) Key Eng Mater 115:1

    Article  CAS  Google Scholar 

  18. Rice RW (1996) J Mater Sci 31:102

    Article  CAS  Google Scholar 

  19. Rice RW (1996) J Mater Sci 31:1509

    Article  CAS  Google Scholar 

  20. Rice RW (2005) J Mater Sci 40:983

    Article  CAS  Google Scholar 

  21. Matikas TE, Karpur P, Shamasundar S (1997) J Mater Sci 32:1099

    Article  CAS  Google Scholar 

  22. Coronel L, Jernot JP, Osterstock F (1990) J Mater Sci 25:4866

    Article  CAS  Google Scholar 

Download references

Acknowledgments

This work was supported by the Natural Science Foundation of China under grant Nos. 10374089 and 10674135 and the Knowledge Innovation Program of Chinese Academy of Sciences under Grant No KJCX2-SW-W17.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to C. S. Liu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhu, K., Li, C., Zhu, Z. et al. Measurement of the dynamic Young’s modulus of porous titanium and Ti6Al4V. J Mater Sci 42, 7348–7353 (2007). https://doi.org/10.1007/s10853-007-1532-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10853-007-1532-y

Keywords

Navigation