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Elastic constants and microcracks in YBa2Cu3O7

Published online by Cambridge University Press:  03 March 2011

Yasuhide Shindo
Affiliation:
Department of Materials Processing, Tohoku University, Sendai 980, Japan
Hassel Ledbetter
Affiliation:
Materials Science and Engineering Laboratory, National Institute of Standards and Technology, Boulder, Colorado 80303-3328
Hideaki Nozaki
Affiliation:
Department of Mechanical Engineering, Tokyo National College of Technology, Hachioji 193, Japan
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Abstract

We analyze theoretically the effect of microcracks and voids on the apparent elastic constants of polycrystalline YBa2Cu3O7. Using measurements by Holcomb and Mayo, we calculate crack density and crack aspect ratio. We obtain reasonable intrinsic elastic constants. For the bulk modulus, for example, we predict values close to these obtained by neutron-diffraction studies: 123 GPa for a polycrystal and 122 GPa for a monocrystal.

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Articles
Copyright
Copyright © Materials Research Society 1995

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References

REFERENCES

1Alers, G. and Waldorf, D., IBM J. Res. Dev. 6, 89 (1962).CrossRefGoogle Scholar
2Lüthi, B. and Rehwald, W., in Structural Phase Transitions I, edited by Müller, K. and Thomas, H. (Springer, Berlin, 1981), p. 131.CrossRefGoogle Scholar
3Holcomb, D. J. and Mayo, M. J., J. Mater. Res. 5, 1827 (1990).Google Scholar
4Budiansky, B. and O'Connell, R., Int. J. Solids Struct. 12, 81 (1976).Google Scholar
5Ledbetter, H. and Datta, S., J. Acoust. Soc. Am. 79, 239 (1986).Google Scholar
6Ledbetter, H., J. Mater. Res. 7, 2905 (1992).CrossRefGoogle Scholar
7Ledbetter, H., in Elastic Waves and Ultrasonic Nondestructive Evaluation, edited by Datta, S., Achenbach, J., and Rajapakse, Y. (North-Holland, Amsterdam, 1990), p. 345.Google Scholar
8Cankurtaran, M., Saunders, G., Goretta, K., and Poeppel, R., Phys. Rev. B 46, 1157 (1992).CrossRefGoogle Scholar
9Kachanov, M., Appl. Mech. Rev. 45, 304 (1992).CrossRefGoogle Scholar
10Kachanov, M., in Advances in Applied Mechanics, edited by Hutchinson, J. W. and Wu, T. Y. (Academic Press, New York, 1993), Vol. 30, p. 259. An especially noteworthy review.Google Scholar
11Kachanov, M., Tsukrov, I., and Shafiro, B., Appl. Mech. Rev. 47, 5151 (1994).CrossRefGoogle Scholar
12Eshelby, J., Proc. R. Soc. London A241, 376 (1957).Google Scholar
13Aleksandrov, I., Goncharov, A., and Stishov, S., JETP Lett. 47, 429 (1988).Google Scholar
14Jorgensen, J., Pei, S., Lightfoot, P., Hinks, D., Veal, B., Dabroski, B., Paulikas, A., and Kleb, R., Physica C 171, 93 (1990).CrossRefGoogle Scholar