Multiphase improved Steinberg-Guinan model for vanadium

Journal of Applied Physics

Volumn 104, Issue 9, 2008, Pages

  Rudd, Robert E ^a   Klepeis, John E ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTIC MODULI; FINITE ELEMENT METHOD; HOMOGENIZATION METHOD; POWDERS; TRANSITION METALS; VANADIUM; VANADIUM ALLOYS;

AB INITIO CALCULATIONS; ABSOLUTE ZERO TEMPERATURES; ANALYTIC MODELS; BCC STRUCTURES; FINITE ELEMENTS; HIGH PRESSURES; HOMOGENIZATION TECHNIQUES; LEVEL MODELS; RHOMBOHEDRAL PHASE; RHOMBOHEDRAL STRUCTURES; SHEAR MODULUS; STRENGTH MODELS;

CRYSTAL STRUCTURE;

EID: 56349129773     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3013429     Document Type: Article

References (47)

1. N. Suzuki and M. Otani, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/14/44/392 14, 10869 (2002).
2. A. Landa, J. Klepeis, P. Söderlind, I. Naumov, L. Vitos, and A. Ruban, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/18/22/008 18, 5079 (2006).
3. A. Landa, J. Klepeis, P. Söderlind, I. Naumov, O. Velikokhatnyi, L. Vitos, and A. Ruban, J. Phys. Chem. Solids 0022-3697 10.1016/j.jpcs.2006.05.027 67, 2056 (2006).
4. Y. Ding, R. Ahuja, J. Shu, P. Chow, W. Luo, and H. -K. Mao, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.98.085502 98, 085502 (2007).
5. K. Takemura, in Science and Technology of High Pressure, Proceedings of the AIRAPT-17, Hawaii, edited by, M. H. Manghnani, W. J. Nellis, and, M. F. Nicol, (University Press, Hyderabad, India, 2000), p. 443.
6. B. Lee, R. E. Rudd, J. E. Klepeis, P. Söderlind, and A. Landa, Phys. Rev. B 0163-1829 10.1103/PhysRevB.75.180101 75, 180101 (R) (2007).
7. W. Luo, R. Ahuja, Y. Ding, and H. -K. Mao, Proc. Natl. Acad. Sci. U.S.A. 0027-8424 10.1073/pnas.0707377104 104, 16428 (2007).
8. S. L. Qiu and P. M. Marcus, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/20/27/275218 20, 275218 (2008).
9. B. Lee, R. E. Rudd, J. E. Klepeis, and R. Becker, Phys. Rev. B 0163-1829 10.1103/PhysRevB.77.134105 77, 134105 (2008).
10. L. Koči, Y. Ma, A. R. Oganov, P. Souvatzis, and R. Ahuja, Phys. Rev. B 0163-1829 10.1103/PhysRevB.77.214101 77, 214101 (2008).
11. L. C. Chhabildas and C. R. Hills, in Metallurgical Applications of Shock-Wave and High-Strain-Rate Phenomena, edited by, L. E. Murr, K. P. Staudhammer, and, M. A. Meyers, (Dekker, New York, 1986), pp. 429-448.
12. C. Dai, X. Jin, X. Zhou, J. Liu, and J. Hu, J. Phys. D 0022-3727 10.1088/0022-3727/34/20/310 34, 3064 (2001).
13. B. Yaakobi, T. R. Boehly, T. C. Sangster, D. D. Meyerhofer, B. A. Remington, P. G. Allen, S. M. Pollaine, H. E. Lorenzana, K. T. Lorenz, and J. A. Hawreliak, Phys. Plasmas 1070-664X 10.1063/1.2938749 15, 062703 (2008).
14. M. A. Meyers, Dynamic Behavior of Materials (Wiley, New York, 1994).
15. D. J. Steinberg, S. G. Cochran, and M. W. Guinan, J. Appl. Phys. 0021-8979 10.1063/1.327799 51, 1498 (1980).
16. D. J. Steinberg, " Equation of State and Strength Properties of Selected Materials.," Lawrence Livermore National Laboratory, University of California LLNL Report No. UCRL-MA-106439, 1991.
17. D. L. Preston, D. L. Tonks, and D. C. Wallace, J. Appl. Phys. 0021-8979 10.1063/1.1524706 93, 211 (2003).
18. D. Orlikowski, A. A. Correa, E. Schwegler, and J. E. Klepeis, A Steinberg-Guinan Model for High-Pressure Carbon: Diamond Phase, Proceedings of the 15th APS Topical Conference on Shock Compression of Condensed Matter, 2007 (unpublished).
19. K. W. Katahara, M. H. Manghnani, and E. S. Fisher, J. Phys. F: Met. Phys. 0305-4608 10.1088/0305-4608/9/5/006 9, 773 (1979).
20. J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.77.3865 77, 3865 (1996).
21. P. E. Blöchl, Phys. Rev. B 0163-1829 10.1103/PhysRevB.50.17953 50, 17953 (1994); G. Kresse and D. Joubert, Phys. Rev. B 0163-1829 10.1103/PhysRevB.59.1758 59, 1758 (1999).
22. D. C. Wallace, Thermodynamics of Crystals (Dover, Mineola, 1972).
23. J. Wang, J. Li, S. Yip, S. Phillpot, and D. Wolf, Phys. Rev. B 0163-1829 10.1103/PhysRevB.52.12627 52, 12627 (1995).
24. M. Methfessel, Phys. Rev. B 0163-1829 10.1103/PhysRevB.38.1537 38, 1537 (1988); M. Methfessel, C. O. Rodriguez, and O. K. Andersen, Phys. Rev. B 0163-1829 10.1103/PhysRevB.40.2009 40, 2009 (1989).
25. J. A. Moriarty, J. F. Belak, R. E. Rudd, P. Söderlind, F. H. Streitz, and L. H. Yang, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/14/11/305 14, 2825 (2002).
26. R. Hill, Proc. Phys. Soc., London, Sect. A 0370-1298 10.1088/0370-1298/ 65/5/307 65, 349 (1952); D. H. Chung, Philos. Mag. 8, 833 (1963).
27. W. Voigt, Lehrbuch der Kristallphysik (Teubner, Berlin, 1910), p. 962.
28. A. Reuss, Z. Angew. Math. Mech. 9, 49 (1929).
29. A. V. Hershey, ASME J. Appl. Mech. 21, 236 (1954) 0021-8936; H. M. Ledbetter, J. Appl. Phys. 0021-8979 10.1063/1.1662392 44, 1451 (1973).
30. H. M. Ledbetter, in Handbook of Elastic Properties of Solids, Liquids, and Gases, edited by, M. Levy, H. E. Bass, and, R. R. Stern, (Academic, San Diego, 2001), pp. 313-324.
31. R. Becker, J. Comput.-Aided Mater. Des. 0928-1045 10.1023/A:1026074619417 9, 145 (2002); R. Becker, LLNL Report No. UCRL-TR-234680, 2007.
32. There is a typographical error in D. Orlikowski (Ref.) in the form of the transition function:"1/" is missing. Our formula is correct.
33. E. Walker, Solid State Commun. 0038-1098 10.1016/0038-1098(80)90957-6 34, 691 (1980).
34. E. Walker and P. Bujard, Solid State Commun. 0038-1098 10.1016/0038-1098(80)90957-6 34, 691 (1980).
35. J. A. Rayne, Phys. Rev. 118, 1545 (1960).
36. R. E. MacFarlane, J. A. Rayne, and C. K. Jones, Phys. Rev. Lett. 0031-9007 10.1016/0031-9163(65)90659-1 18, 91 (1965).
37. B. T. Bernstein, Phys. Rev. 132, 50 (1963).
38. . Fischer, M. Peter, and S. Steinemann, Helv. Phys. Acta 42, 453 (1963).
39. O. Delaire, M. Kresch, J. A. Muoz, M. S. Lucas, J. Y. Y. Lin, and B. Fultz, Phys. Rev. B 0163-1829 10.1103/PhysRevB.77.214112 77, 214112 (2008).
40. P. Vinet, J. R. Smith, J. Ferrante, and J. H. Rose, Phys. Rev. B 0163-1829 10.1103/PhysRevB.35.1945 35, 1945 (1987).
41. A. B. Belonoshko, L. Burakovsky, S. P. Chen, B. Johansson, A. S. Mikhaylushkin, D. L. Preston, S. I. Simak, and D. C. Swift, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.100.135701 100, 135701 (2008).
42. D. B. Reisman, A. Toor, R. C. Cauble, C. A. Hall, J. R. Asay, M. D. Knudson, and M. D. Furnish, J. Appl. Phys. 0021-8979 10.1063/1.1337082 89, 1625 (2001).
43. B. A. Remington, Mater. Sci. Technol. 0267-0836 10.1179/174328406X91069 22, 474 (2006).
44. R. F. Smith, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.98.065701 98, 065701 (2007).
45. J. H. Nguyen, D. Orlikowski, F. H. Streitz, J. A. Moriarty, and N. Holmes, J. Appl. Phys. 0021-8979 10.1063/1.2214209 100, 023508 (2006).
46. J. D. Greiner, O. N. Carlson, and J. F. Smith, J. Appl. Phys. 0021-8979 10.1063/1.326428 50, 4394 (1979).
47. O. N. Carlson, D. G. Alexander, and G. Elssner, Metall. Trans. A 0360-2133 10.1007/BF02677270 8, 99 (1977).