Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-28T00:54:25.918Z Has data issue: false hasContentIssue false
  • English
  • Français

Elastic constants and Debye temperature of polycrystalline Y1Ba2Cu3O7−x

Published online by Cambridge University Press:  31 January 2011

H. M. Ledbetter ,
M. W. Austin ,
S. A. Kim  and
Ming Lei
H. M. Ledbetter
Affiliation:
Fracture and Deformation Division, Institute for Materials Science and Engineering, National Bureau of Standards, Boulder, Colorado 80303
M. W. Austin
Affiliation:
Fracture and Deformation Division, Institute for Materials Science and Engineering, National Bureau of Standards, Boulder, Colorado 80303
S. A. Kim
Affiliation:
Fracture and Deformation Division, Institute for Materials Science and Engineering, National Bureau of Standards, Boulder, Colorado 80303
Ming Lei
Affiliation:
Fracture and Deformation Division, Institute for Materials Science and Engineering, National Bureau of Standards, Boulder, Colorado 80303
Get access

Abstract

Using ultrasonic methods, the quasi-isotropic elastic stiffnesses of void-containing Y1Ba2Cu3O7−x were determined By a composite-material model, these were corrected to the void-free state. From these, the Debye characteristic temperature was calculated. All the elastic stiffnesses fall well below those of polycrystalline BaTiO3, an approximate crystalstructural building block of Y1Ba2Cu3O7−x. The low apparent stiffness may result from oxygen vacancies, which soften interionic forces. Also, it may result from microcracks, which reduce elastic stiffness without lowering mass density.

Type
Articles
Information
Journal of Materials Research , Volume 2 , Issue 6 , December 1987 , pp. 786 - 789
Copyright
Copyright © Materials Research Society 1987

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Cousins, C. S. G.J. Phys. C 2, 765 (1969).Google Scholar
2Reid, C. N.Deformation Geometryfor Materials Scientists (Perga-mon, Oxford, 1973), Chap. 3.Google Scholar
3Eshelby, J. D. in Fracture Toughness (Iron and Steel Institute, London, 1968), pp. 13–29.Google Scholar
4Barker, R. E.J. Appl. Phys. 34, 107 (1963).CrossRefGoogle Scholar
5Debye, P.Ann. Phys. (Leipzig) 39, 789 (1912).CrossRefGoogle Scholar
6Einstein, A.Ann. Phys. (Leipzig) 34, 170 (1911).CrossRefGoogle Scholar
7Grimvall, G. and Sjodin, S.Phys. Scr. 10, 340 (1974).CrossRefGoogle Scholar
8DeLaunay, J. and Dolocek, R. L.Phys. Rev. 72, 141 (1947).CrossRefGoogle Scholar
9McMillan, W. L.Phys. Rev. 6, 1 (1961).Google Scholar
10Ledbetter, H. M.Frederick, N. V. and Austin, M. W.J. Appl. Phys. 51, 305 (1980).CrossRefGoogle Scholar
11Blendell, J. F.Chiang, C. K.Cranmer, D. C.Freiman, S. W.Fuller, E. R., Drescher-Krasicka, E., Johnson, W. L.Ledbetter, H. M.Bennett, L. H.Swartzenruber, L. J.Marinenko, R. B.Myklebust, R. L.Bright, D. S. and Newburg, D. E.Adv. Ceram. Mater. 2, 512 (1987).CrossRefGoogle Scholar
12Ledbetter, H. M.Kim, S. A.Austin, M. W.Datta, T.Estrada, J. and Violet, C. E. submitted to Phys. Rev. B.Google Scholar
13Goldfarb, R. B. National Bureau of Standards, Boulder (private communication).Google Scholar
14Ledbetter, H. M. in Materials at Low Temperatures (American Society for Metals, Metals Park, OH, 1983), p. 10.Google Scholar
15Berlincourt, D. and Jaffe, H.Phys. Rev. 1ll, 143 (1958).CrossRefGoogle Scholar
16Kroner, E.Z. Phys. 151, 504 (1958).CrossRefGoogle Scholar
17Ledbetter, H. M. and Datta, S. K.J. Acoust. Soc. Amer. 79, 239 (1986).CrossRefGoogle Scholar
18Hashin, Z.J. Appl. Mech. 29, 143 (1962).CrossRefGoogle Scholar
19David, W. I. F.Harrison, W. T. A.Gunn, J. M. F.Moze, O.Soper, A. K.Day, P.Jorgensen, J. D.Hinks, D. G.Beno, M. A.Soder-holm, L., Capone, D. W.Schuller, I. K.Segre, C. U.Zhang, K. and Grace, J. D.Nature 327, 310 (1987).Google Scholar
20Shannon, R. D. and Prewitt, C. T.Acta Crystallogr. B 25, 925 (1969).CrossRefGoogle Scholar
21Strobel, P.Capponi, J. J.Chaillout, C.Marezio, M. and Tho-lence, J. L., Nature 327, 306 (1987).CrossRefGoogle Scholar
22Fuller, E. R. National Bureau of Standards, Gaithersburg (private communication).Google Scholar
23Case, E. D.J. Mater. Sci. 19, 3702 (1984).CrossRefGoogle Scholar
24Ledbetter, H. M. and Datta, S. K. submitted to Z. Metallkde.Google Scholar
25Roster, W. and Franz, H.Metall. Rev. 6, 1 (1961).Google Scholar