Continuous model for the shear modulus as a function of pressure and temperature up to the melting point: Analysis and ultrasonic validation

Journal of Applied Physics

Volumn 93, Issue 5, 2003, Pages 2472-2480

  Nadal, Marie Hélène ^a   Le Poac, Philippe ^a  

^a CENTRE DE VALDUC   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ATTENUATION; CODES (SYMBOLS); ELASTOPLASTICITY; HYDRODYNAMICS; MATHEMATICAL MODELS; MELTING; ULTRASONIC EFFECTS;

MELTING POINT;

ELASTIC MODULI;

EID: 0037352223     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1539913     Document Type: Article

References (34)

1. D. J. Steinberg, S. G. Cochran, and M. W. Guinan, J. Appl. Phys. 51, 1498 (1980).
2. G. R. Johnson and W. H. Cook, Eng. Fract. Mech. 21, 31 (1985).
3. F. J. Zerelli and R. W. Amstrong, J. Appl. Phys. 61, 1816 (1987).
4. J. R. Klepaczko, Mater. Sci. Eng. 18, 121 (1975).
5. L. Preston, D. L. Tonks, and D. C. Wallace, Proceedings of the American Physical Society Topical Conference, Williamsburg, VA, 1991, pp. 423-426.
6. H. Kamioka, J. Phys. Soc. Jpn. 52, 3432 (1983).
7. H. Kamioka, J. Phys. Soc. Jpn. 52, 2784 (1983).
8. T. Gorecki, Acustica 80, 81 (1994).
9. C. Gondard, M.-H. Nadal, and C. Hermerel, Rev. Prog. Quant. Nondestr. Eval. 17A, 867 (1997).
10. M.-H. Nadal, C. Hermerel, C. Gondard, and L. Paradis, 14th World Congress on Non-Destructive Testing, New Delhi, India, 1996, Vol. 4, pp. 2259-2262.
11. M.-H. Nadal, C. Hermerel, and C. Gondard, ECNDT, Copenhagen, 1998, Vol. 1, pp. 983-989.
12. H. Nakano, Y. Matsuda, and S. Nagai, Meas. Sci. Technol. 9, 217 (1998).
13. E. Fraizier, M.-H. Nadal, and R. Oltra, Ultrasonics 40, 543 (2002).
14. D. Royer and E. Dieulesaint, Appl. Phys. Lett. 49, 1056 (1986).
15. C. A. Calder, E. C. Draney. and W. W. Wilcox, J. Nucl. Mater. 97, 126 (1981).
16. Y. S. Touloukian, R. K. Kirby, R. E. Taylor, and P. D. Desai, Thermophysical Properties of Matter (Plenum, New York, 1975), Vol. 12, p. 339.
17. D. Royer and E. Dieulesaint, Elastic Waves in Solids I: Free and Guided Propagation (Springer, Berlin, 1999), p. 140.
18. D. J. Steinberg, Lawrence Livermore National Laboratory Report No. UCRL-MA-106439 (1996).
19. E. Walker and P. Bujard, Solid State Commun. 34, 691 (1980).
20. E. Fraizier, M.-H. Nadal, and Roland Oltra, J. Appl. Phys. 93, 649 (2003).
21. P. Varshni, Phys. Rev. B 2, 3952 (1970).
22. S. R. Chen and G. T. Gray III, Metall. Mater. Trans. A 27A, 2994 (1996).
23. B. I. Bennet, A. C. Lawson, B. Martinez, J. W. Richardson, and J. A. Roberts, Los Alamos Sci. 26, 142 (2000).
24. A. Migliori and J. Sarrao, Resonant Ultrasound Spectroscopy (Wiley, New York, 1997).
25. V. Keppens, Nature (London) 395, 876 (1998).
26. V. Keppens, Ultrasonics International 2001.
27. E. Walker, J. Ortelli, and M. Peter, Phys. Lett. 31A, 240 (1970).
28. E. Walker, Y. Talmor, and S. Steinmann, Solid State Commun. 23, 649-651 (1977).
29. J. Ashkenazi, M. Dacorogna, M. Peter, Y. Talmor, E. Walker, and S. Steinemann, Phys, Rev. B 18, 8 (1978).
30. J. J. Gilvarry, Phys. Rev. 102, 308 (1956); 103, 1700 (1956); 104, 909 (1956).
31. J. J. Gilvarry, Phys. Rev. 102, 308 (1956); 103, 1700 (1956); 104, 909 (1956).
32. J. J. Gilvarry, Phys. Rev. 102, 308 (1956); 103, 1700 (1956); 104, 909 (1956).
33. J. N. Shapiro, Phys. Rev. B 1, 3982 (1970).
34. G. M. B. Webber and R. W. Stephens, in Physical Acoustics, edited by W. P. Mason (Academic, New York, 1968), Vol. 4B, Chap. 11, p. 56.