Dislocation contribution to acoustic nonlinearity: The effect of orientation-dependent line energy

Journal of Applied Physics

Volumn 109, Issue 1, 2011, Pages

  Cash, W D ^a   Cai W , ^a  

^a Stanford University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NONLINEARITY; ACOUSTIC NONLINEARITY PARAMETERS; DISLOCATION DYNAMICS; GLIDE PLANES; NEW MODEL; PINNING POINTS; POISSON'S RATIO; PURE EDGE; QUASI-STATIC LOADING; SINGLE DISLOCATION; STATIC STRESS;

COMPUTER SIMULATION; CRYSTALLOGRAPHY; CRYSTALS; GRAIN BOUNDARIES; POISSON RATIO; SCREW DISLOCATIONS;

EDGE DISLOCATIONS;

EID: 78751501458     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3530736     Document Type: Article

References (27)

1. A. Hikata, B. B. Chick, and C. Elbaum, Appl. Phys. Lett. 3, 195(1963).
2. J. Frouin, S. Sathish, and J. K. Na, Proc. SPIE 3993, 60 (2000).
3. J. H. Cantrell and W. T. Yost, Int. J. Fatigue 23, 487 (2001).
4. S. Suresh, Fatigue of Materials (Cambridge University Press, Cambridge, United Kingdom, 1998).
5. A. Hikata, B. B. Chick, and C. Elbaum, J. Appl. Phys. 36, 229(1965).
6. J. H. Cantrell, Proc. R. Soc. London, Ser. A 460, 757 (2004).
7. J. H. Cantrell, J. Appl. Phys. 105, 043520 (2009).
8. R. K. Oruganti, R. Sivaramanivas, T. N. Karthik, V. Kommareddy, B. Ramadurai, B. Ganesan, E. J. Nieters, M. F. Gigliotti, M. E. Keller, and M. T. Shyamsunder, Int. J. Fatigue 29, 2032 (2007).
9. V. V. Bulatov, L. L. Hsiung, M. Tang, A. Arsenlis, M. C. Bartelt, W. Cai, J. N. Florando, M. Hiratani, M. Rhee, G. Hommes, T. G. Pierce, and T. D. de la Rubia, Nature (London) 440, 1174 (2006).
10. C. Déprés, C. Robertson, and M. Fivel, Philos. Mag. 84, 2257 (2004).
11. G. DeWit and J. S. Koehler, Phys. Rev. 116, 1121 (1959).
12. A. Arsenlis, W. Cai, M. Tang, M. Rhee, T. Oppelstrup, G. Hommes, T. G. Pierce, and V. V. Bulatov, Modell. Simul. Mater. Sci. Eng. 15, 553 (2007).
13. L. Dupuy and M. C. Fivel, Acta Mater. 50, 4873 (2002).
14. J. H. Cantrell, in Ultrasonic Nondestructive Evaluation, edited by T. Kundu (CRC, Boca Raton, FL, 2004).
15. The strains here are a result of the applied stress and should not be confused with the arbitrarily small displacements from the acoustic wave.
16. 2 is a common factor in the power series model derived in this paper.
17. This assumption has been numerically verified, but the discussion is omitted here.
18. It should be noted that by varying ν while holding μ constant in an elastically isotropic medium will cause the Young's modulus E of the material to change. This obviously cannot be accomplished in a physical experiment, but is done here to illustrate the problem.
19. A. J. E. Foreman, Acta Metall. 3, 322 (1955).
20. This model could be used for an arbitrary dislocation, but calculating A will be more difficult.
21. The solution to Eq. (42) and all subsequent steps of the derivation of this model are omitted to save space.
22. P. B. Hirsch, R. W. Horne, and M. J. Whelan, Philos. Mag. 1, 677 (1956).
23. A. S. Keh and S. Weissmann, in Electron Microscopy and Strength of Crystals, edited by G. Thomas and J. Washburn (Wiley, New York, 1962).
24. M. A. Breazeale and J. Ford, J. Appl. Phys. 36, 3486 (1965).
25. J. Frouin, S. Sathish, T. E. Matikas, and J. K. J. Na, Mater. Res. 14, 1295 (1999).
26. J. Y. Kim, L. J. Jacobs, J. Qu, and J. W. Littles, J. Acoust. Soc. Am. 120, 1266 (2006).
27. J. H. Cantrell, J. Appl. Phys. 100, 063508 (2006).