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.
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Notes
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
Kumar A, Jayakumar T, Raj B, Ray KK (2003) Acta Mater 51:2417
Dunn ML, Ledbetter H (1995) J Mater Res 10:2715
Roth DJ, Stang DB, Swickward SM, DeGuire MR (1990) NASA Technical Memorandum 102501
Yeheskel O, Shokhat M, Ratzker M, Dariel P (2001) J Mater Sci 36:1219
Panakkal JP, Willems H, Arnold W (1990) J Mater Sci 25:1397
Martin LP, Dadon D, Rosen M (1996) J Am Ceram Soc 79:1281
Green DJ, Nader C, Brezny R (1990) Ceram Trans 7345
Panakkal JP (1991) IEEE Trans Ferroelec Freq Control 38:161
Boisson J, Platon F, Boch P (1976) Ceramurgia 674
Thorp JS, Bushell TG (1985) J Mater Sci 20:2265
Adachi T, Sakka S (1990) J Mater Sci 25:4732
Asmani M, Kermel C, Leriche A, Ourak M (2001) J Eur Ceram Soc 21:1081
Nagarajan A (1971) J Appl Phys 42:3693
Chang LS, Chuang TS, Wei WJ (2000) Mater Char 45:221
Kulkarni N, Moudgil B, Bhardwaj M (1994) Am Ceram Soc Bull 73:146
Panakkal JP, Ghosh JK (1984) J Mat Sci Lett 3:935
Rice RW (1998) Porosity in Ceramics. Marcel Dekker Inc., New York
Anderson OL, Schreiber E, Lieberman RC, Soga N (1968) Rev Geophys 6:491
Hagiwara H, Green DJ (1987) J Am Ceram Soc 70:811
Wachtman JB, Wheat ML, Anderson HJ, Bates JL (1965) J Nucl Mater 16:39
Padel A, Novion CD (1969) J Nucl Mater 33:40
Boocock J, Furzer AS, Matthews JR (1972) AERE Rep. No. M 2565
Panakkal JP, Ghosh JK, Roy PR (1984) J Phys D: Appl Phys 17:1791
Gatt J-M, Monerie Y, Laux D, Baron D (2005) J Nucl Mater 336:145
Phani KK (1996) J Mater Sci 31:262
Phani KK, Sanyal D (2005) J Mater Sci 40:5685
Ashkin D, Haber RA, Wachtman JB (1990) J Am Ceram Soc 73:3376
Arnold M, Boccaccini AR, Ondracek G (1996) J Mater Sci 31:1643
Phani KK, Maitra AK (1994) J Mater Sci 29:4415
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.
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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
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DOI: https://doi.org/10.1007/s10853-007-2055-2