Skip to main content
Log in

Correlation between ultrasonic shear wave velocity and Poisson’s ratio for isotropic porous materials

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

Abstract

A new correlation between ultrasonic shear wave velocity and Poisson’s ratio has been established for isotropic porous material based on physical acoustic theory. Poisson’s ratio may decrease, increase or remain unchanged with decrease in shear wave velocity depending on pore-shape and Poisson’s ratio of the bulk solid. In case of decreasing Poisson’s ratio with decreasing shear wave velocity, it passes through a minimum and then increases again to reach a limiting value of 0.5. It has been further demonstrated that the Poisson’s ratio versus porosity relation deduced from the proposed correlation agrees with the experimental data extremely well.

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
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

Notes

  1. Regression coefficients are 0.94, 0.93, 0.99, 0.80, and 0.40 for silica gel, porcelain, uranium dioxide, RBSN, and alumina, respectively.

References

  1. Kumar A, Jayakumar T, Raj B, Ray KK (2003) Acta Mater 51:2417

    Article  CAS  Google Scholar 

  2. Dunn ML, Ledbetter H (1995) J Mater Res 10:2715

    Article  CAS  Google Scholar 

  3. Roth DJ, Stang DB, Swickward SM, DeGuire MR (1990) NASA Technical Memorandum 102501

  4. Yeheskel O, Shokhat M, Ratzker M, Dariel P (2001) J Mater Sci 36:1219

    Article  CAS  Google Scholar 

  5. Panakkal JP, Willems H, Arnold W (1990) J Mater Sci 25:1397

    CAS  Google Scholar 

  6. Martin LP, Dadon D, Rosen M (1996) J Am Ceram Soc 79:1281

    Article  CAS  Google Scholar 

  7. Green DJ, Nader C, Brezny R (1990) Ceram Trans 7345

  8. Panakkal JP (1991) IEEE Trans Ferroelec Freq Control 38:161

    Article  Google Scholar 

  9. Boisson J, Platon F, Boch P (1976) Ceramurgia 674

  10. Thorp JS, Bushell TG (1985) J Mater Sci 20:2265

    Article  CAS  Google Scholar 

  11. Adachi T, Sakka S (1990) J Mater Sci 25:4732

    Article  CAS  Google Scholar 

  12. Asmani M, Kermel C, Leriche A, Ourak M (2001) J Eur Ceram Soc 21:1081

    Article  CAS  Google Scholar 

  13. Nagarajan A (1971) J Appl Phys 42:3693

    Article  CAS  Google Scholar 

  14. Chang LS, Chuang TS, Wei WJ (2000) Mater Char 45:221

    Article  CAS  Google Scholar 

  15. Kulkarni N, Moudgil B, Bhardwaj M (1994) Am Ceram Soc Bull 73:146

    CAS  Google Scholar 

  16. Panakkal JP, Ghosh JK (1984) J Mat Sci Lett 3:935

    Article  Google Scholar 

  17. Rice RW (1998) Porosity in Ceramics. Marcel Dekker Inc., New York

    Google Scholar 

  18. Anderson OL, Schreiber E, Lieberman RC, Soga N (1968) Rev Geophys 6:491

    CAS  Google Scholar 

  19. Hagiwara H, Green DJ (1987) J Am Ceram Soc 70:811

    Article  CAS  Google Scholar 

  20. Wachtman JB, Wheat ML, Anderson HJ, Bates JL (1965) J Nucl Mater 16:39

    Article  CAS  Google Scholar 

  21. Padel A, Novion CD (1969) J Nucl Mater 33:40

    Article  CAS  Google Scholar 

  22. Boocock J, Furzer AS, Matthews JR (1972) AERE Rep. No. M 2565

  23. Panakkal JP, Ghosh JK, Roy PR (1984) J Phys D: Appl Phys 17:1791

    Article  CAS  Google Scholar 

  24. Gatt J-M, Monerie Y, Laux D, Baron D (2005) J Nucl Mater 336:145

    Article  CAS  Google Scholar 

  25. Phani KK (1996) J Mater Sci 31:262

    Article  CAS  Google Scholar 

  26. Phani KK, Sanyal D (2005) J Mater Sci 40:5685

    Article  CAS  Google Scholar 

  27. Ashkin D, Haber RA, Wachtman JB (1990) J Am Ceram Soc 73:3376

    Article  CAS  Google Scholar 

  28. Arnold M, Boccaccini AR, Ondracek G (1996) J Mater Sci 31:1643

    Article  CAS  Google Scholar 

  29. Phani KK, Maitra AK (1994) J Mater Sci 29:4415

    Article  Google Scholar 

Download references

Acknowledgements

The author is thankful to his colleague Dr. D. Sanyal for helpful discussions and suggestions. He also thanks Director, CGCRI for his permission to publish this article.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K. K. Phani.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Phani, K.K. Correlation between ultrasonic shear wave velocity and Poisson’s ratio for isotropic porous materials. J Mater Sci 43, 316–323 (2008). https://doi.org/10.1007/s10853-007-2055-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10853-007-2055-2

Keywords

Navigation