The influence of surface mechanics on diffusion induced stresses within spherical nanoparticles

Journal of Applied Physics

Volumn 104, Issue 8, 2008, Pages

  Cheng, Yang Tse ^a,b   Verbrugge, Mark W ^a  

^a GENERAL MOTORS CORPORATION   (United States)

^b UNIVERSITY OF KENTUCKY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INDUSTRIAL APPLICATIONS; MECHANICS; NANOPARTICLES; NANOSTRUCTURED MATERIALS; NANOSTRUCTURES; SEMICONDUCTOR DOPING; SPHERES; SURFACE CHEMISTRY; SURFACE DIFFUSION; SURFACE TENSION; TENSILE STRESS;

DIFFUSION INDUCED STRESSES; INDUCED STRESSES; NANOMETER RANGES; PARTICLE DIAMETERS; PARTICLE RADIUSES; SPHERICAL NANOPARTICLES; STATE OF STRESSES; SURFACE MODULUS;

STRESSES;

EID: 55249110213     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3000442     Document Type: Article

References (34)

1. S. Prussin, J. Appl. Phys. 32, 1876 (1961).
2. J. C. M. Li, Metall. Trans. A 9A, 1353 (1978).
3. S. B. Lee, W. L. Wang, and J. R. Chen, Mater. Chem. Phys. 64, 123 (2000).
4. W. L. Wang, S. Lee, and J. R. Chen, J. Appl. Phys. 91, 9584 (2002).
5. S.-C. Ko, S. Lee, and Y. T. Chou, Mater. Sci. Eng., A 409, 145 (2005).
6. F. Q. Yang and J. C. M. Li, J. Appl. Phys. 93, 9304 (2003).
7. F. Q. Yang, Mater. Sci. Eng., A 409, 153 (2005).
8. J. Christensen and J. Newman, J. Electrochem. Soc. 153, A1019 (2006).
9. X. Zhang, W. Shyy, and A. M. Sastry, J. Electrochem. Soc. 154, A910 (2007).
10. J. O. Besenhard, J. Yang, and M. Winter, J. Power Sources 68, 87 (1997).
11. J. Wolfenstine, J. Power Sources 79, 111 (1999).
12. R. A. Huggins and W. D. Nix, Ionics 6, 57 (2000).
13. " Basic Research Needs for Electrical Energy Storage-Report of the Basic Energy Sciences Workshop for Electrical Energy Storage.," Office of Basic Energy Sciences, Department of Energy report, 2007 (available at http://www.sc.doe.gov/bes/reports/files/EES_rpt.pdf).
14. J.-M. Tarascon and M. Armand, Nature (London) 414, 359 (2001).
15. A. S. Arico, P. Bruce, B. Scrosati, J.-M. Tarascon, and W. Van Schalkwijk, Nature Mater. 4, 366 (2005).
16. R. B. Lewis, A. Timmons, R. E. Mar, and J. R. Dahn, J. Electrochem. Soc. 154, A213 (2007).
17. C. K. Chan, H. Peng, C. Liu, K. McIlwrath, X. F. Zhang, R. A. Huggins, and Y. Cui, Nat. Nanotechnol. 3, 31 (2008).
18. J. Graetz, C. C. Ahn, R. Yazami, and B. Fultz, Electrochem. Solid-State Lett. 6, A194 (2003).
19. P. Patel, I. S. Kim, and P. N. Kumta, Mater. Sci. Eng., B 116, 374 (2005).
20. Y. Li and Y.-T. Cheng, J. Alloys Compd. 223, 6 (1995).
21. J. W. Gibbs, The Scientific Papers of J. Willard Gibbs (Longnans-Green, London, 1906), Vol. 1, p. 55.
22. R. C. Cammarata, Prog. Surf. Sci. 46, 1 (1994).
23. P. Müller and A. Saúl, Surf. Sci. Rep. 54, 157 (2004).
24. A. I. Rusanov, Surf. Sci. Rep. 58, 111 (2005).
25. F. D. Fischer, T. Waitz, D. Vollath, and N. K. Simha, Prog. Mater. Sci. 53, 481 (2008).
26. R. Shuttleworth, Proc. Phys. Soc., London, Sect. A 63, 444 (1950).
27. M. E. Gurtin and A. Murdoch, Arch. Ration. Mech. Anal. 57, 291 (1975).
28. M. E. Gurtin and A. Murdoch, Int. J. Solids Struct. 14, 431 (1978).
29. M. E. Gurtin, J. Weissmuller, and F. Larche, Philos. Mag. A 78, 1093 (1998).
30. P. Sharma, S. Ganti, and N. Bhate, Appl. Phys. Lett. 0003-6951 10.1063/1.1539929 82, 535 (2003); P. Sharma, S. Ganti, and N. Bhate, Appl. Phys. Lett. 89, 049901 (2006).
31. R. E. Miller and V. B. Shenoy, Nanotechnology 11, 139 (2000).
32. S. P. Timoshenko and J. N. Goodier, Theory of Elasticity, 3rd ed. (McGraw-Hill, New York, 1970).
33. L. Vitos, A. V. Ruban, H. L. Skriver, and J. Kollár, Surf. Sci. 411, 186 (1998).
34. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, 2nd ed. (Clarendon, Oxford, 1959).