Hostname: page-component-7bb8b95d7b-dtkg6 Total loading time: 0 Render date: 2024-09-26T15:25:39.126Z Has data issue: false hasContentIssue false
  • English
  • Français

Theory of Pre-Martensitic Effects in Alloys with ω- Transformation

Published online by Cambridge University Press:  25 February 2011

David A. Vul
David A. Vul*
Affiliation:
University of California, Berkeley, Dept. of Materials Science & Mineral Engineering, Berkeley, CA 94720
Get access

Abstract

It is shown that the phonon dip in the longitudinal phonon branch L[111] in the metals Zr, Hf, Ti, Nb results in an oscillating component in static displacement field around a point defect. The oscillations have the wave vector 2/3(111) and occur in four rod-like shape regions along <111> directions. The value of the oscillations is much smaller then whole atomic displacements. Anomalies of the elastic diffuse scattering intensity from β-phase alloys based on the metals are explained as caused by the scattering on these distorted regions around solutes.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 246: Symposium M – Shape-Memory Materials and Phenomena--Fundamental Aspects and Applications , 1991 , 235
Copyright
Copyright © Materials Research Society 1992

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

1. Sikka, S.K., Vohra, Y.K., and Chidambaran, R., Progr. Mat. Science 27, 245(1982).CrossRefGoogle Scholar
2. Fontaine, D. de, Acta Metall. 18, 275(1970).Google Scholar
3. Moss, S.C., Keating, D.T., and Axe, J.D., Phase Transformations. edited by Cross, L.E., (Pergamon Press, Oxford, 1973).Google Scholar
4. Batterman, B.W., Maracci, G., Merlini, A., and Pace, S., Phys. Rev. Lett. 31,227(1973).Google Scholar
5. Lin, W., Spalt, H., and Batterman, B.W., Phys. Rev. B, 13, 5158(1976).Google Scholar
6. Noda, Y., Yamada, Y., and Shapiro, S. M., Phys. Rev. B. 40, 5995(1989).Google Scholar
7. Heiming, A., Petry, W., Vogl, G., Trampenau, J., Schober, H.R., Chevrier, J., and Scharpf, O., Zeitschrift fur Physik B., submitted.Google Scholar
8. Terauchi, H., Sahane, K., and Hida, M., J. Phys. Soc. Jpn. 50, 3932(1981).Google Scholar
9. Wakabayashi, N., Phys. Rev. B,17, 3875(1978).CrossRefGoogle Scholar
10. Dosch, H., Schwerin, A.v, and Peisl, J., Phys. Rev. B,34, 1654(1986).CrossRefGoogle Scholar
11. Dosch, H. and Peisl, J., Phys. Rev. B,32, 623(1985).Google Scholar
12. Keating, D.T. and Placa, S.J.La, J. Phys. Chem. Solids 35, 879(1974).Google Scholar
13. Cook, H.E., Acta Met. 22, 239(1974); J. Appl. Cryst. 8, 132(1975).CrossRefGoogle Scholar
14. Sanchez, J.M. and Fontaine, D.de, J. Appl. Cryst. 10, 220(1977).Google Scholar
15. Krivoglaz, M.A., Zh. Eksper. i Teor. Fiziki 84, 355(1983) [Soy. Phys. JETP 51, 205(1983)].Google Scholar
16. Krumhansl, J.A. and Yamada, Y., Mater. Sci. Eng. A,127, 167(1990).Google Scholar
17. Petry, W., Heiming, A., Trampenau, J., Alba, M., Herzig, C., Schober, H.R., and Vogl, G., Phys. Rev. B,42, 10 933(1991).Google Scholar
18. Heiming, A., Petry, W., Trampenau, J., Alba, M., Herzig, C., Schober, H.R., and Vogl, G., Phys. Rev. B,43, 10 948(1991).Google Scholar
19. Trampenau, J., Heiming, A., Petry, W., Alba, M., Herzig, C., Mickeley, W., and Schober, H.R., Phys. Rev. B,43, 10 963(1991).CrossRefGoogle Scholar
20. Nakagawa, Y. and Woods, A.D.B., Phys. Rev. Lett. 11, 271(1963).Google Scholar
21. Powell, B.N., Martel, P., and Woods, A.D.B., Phys. Rev. 171, 727(1968).Google Scholar
22. Stassis, C., Zarestky, J., and Wakabayashi, N., Phys. Rev. Lett. 41, 1726(1978).Google Scholar
23. Ho, K.M., Fu, C.L., and Harmon, B.N., Phys. Rev. B,21, 1575(1984).Google Scholar
24. Yamada, Y., Noda, Y., Takimoto, M., and Furuhawa, K., J. Phys. Soc. Jpn. 54, 2940(1985).CrossRefGoogle Scholar
25. Vul, D.A., J. Phys.: Cond. Matt. 2, 4567(1990).Google Scholar
26. Kanzaki, H., J. Phys. Chem. Solids 2, 24(1957).Google Scholar
27. Krivoglaz, M.A., Theorv of X-Ray and Thermal Neutron Scattering by Real Crystals (Plenum, New York, 1969).Google Scholar
28. Eshelby, J.D., Solid State Phys. 3, 79(1956), edited by Seitz, F. and Turnbul, D. (Academic, New York).Google Scholar