Crack-like grain-boundary diffusion wedges in thin metal films

Acta Materialia

Volumn 47, Issue 10, 1999, Pages 2865-2878

  Gao, H ^a   Zhang, L ^a   Nix, W D ^a   Thompson, C V ^b   Arzt, E ^c  

^a Stanford Univ ^*  (United States)

^b USA   (United States)

^c MAX PLANCK INSTITUTE FOR INTELLIGENT SYSTEMS   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONSTRAINT THEORY; CRACK PROPAGATION; DIFFUSION IN SOLIDS; DISLOCATIONS (CRYSTALS); ELASTICITY; GRAIN BOUNDARIES; MATHEMATICAL MODELS; POLYCRYSTALLINE MATERIALS; STRESS CONCENTRATION; SUBSTRATES; THIN FILMS;

CONSTRAINED GRAIN-BOUNDARY DIFFUSIONS; CRACK-LIKE SINGULAR STRESS CONCENTRATIONS;

METALLIC FILMS;

EID: 0032684355     PISSN: 13596454     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1359-6454(99)00178-0     Document Type: Article

References (30)

1. Thouless M.D., Gupta J., Harper J.M.E. J. Mater. Res. 8:1993;1845.
2. Vinci R.P., Zielinski E.M., Bravman J.C. Thin Solid Films. 262:1995;142.
3. Keller R.-M., Baker S.P., Arzt E. J. Mater. Res. 13:1998;1307.
4. Thouless M.D., Rodbell K.P., Cabral C. Jr. J. Vacuum Sci. Technol. A14:1996;2454.
5. Venkatraman R., Chen S., Bravman J.C. J. Vacuum Sci. Technol. A9:1991;2536.
6. Venkatraman R., Bravman J.C., Nix W.D., Davies P.W., Flinn P.A., Fraser D.B. J. Electron. Mater. 19:1990;1231.
7. Flinn P.A. J. Mater. Res. 6:1991;1498.
8. Keller R.-M., Baker S.P., Arzt E. Acta mater. 47:1999;415.
9. Genin F.Y., Mullins W.W., Wynblatt P. Acta metall. mater. 41:1993;3541.
10. Thouless M.D. Acta metall. mater. 41:1993;1057.
11. Thouless M.D. Ann. Rev. Mater. Sci. 25:1995;69.
12. Genin F.Y. J. appl. Phys. 77:1995;5130.
13. Genin F.Y. Acta metall. mater. 43:1995;4289.
14. Chuang T.-J., Kagawa K.I., Rice J.R., Sills L.B. Acta metall. 27:1979;265.
15. Spingarn J.R., Nix W.D. Acta metall. 26:1977;1389.
16. Griffith A.A. Phil. Trans. R. Soc. A221:1921;163.
17. Gao H. J. Mech. Phys. Solids. 42:1994;741.
18. Eshelby, J.D., in Dislocations in Solids, Vol. 1, ed. F.R.N. Nabarro. North-Holland, New York, 1979, pp. 167-221.
19. Erdogan F. J. appl. Math. 17:1969;1041.
20. Erdogan F., Gupta G.D. Quart. appl. Math. 30:1972;525.
21. Erdogan, F., Gupta, G.D. and Cook, T.S., in Methods of Analysis and Solutions of Crack Problems, ed. G.C. Sih. Noordhoff, Leyden, 1973, p. 368.
22. Zimmerman, J.A., private communication.
23. Kobrinsky M.J., Thompson C.V. Appl. Phys. Lett. 73:1998;2429.
24. Rice J.R. J. Mech. Phys. Solids. 40:1994;239.
25. Rice J.R., Beltz G.E. J. Mech. Phys. Solids. 42:1994;333.
26. Hills, D.A., Kelly, P.A., Dai, D.N. and Korsunsky, A.M., Solution of Crack Problems. Kluwer, Dordrecht, 1996.
27. Gupta G.D., Erdogan F. J. appl. Mech. 41:1974;1001.
28. Golub, G.H. and Van Loan, C.F., Matrix Computations. The Johns Hopkins University Press, Baltimore, MA, 1996.
29. Krenk S. Quart. appl. Math. 32:1975;479.
30. Turlo, J.F., Deformation behavior of thin aluminum films on silicon substrates. Ph.D. thesis, Stanford University, Stanford, CA, 1992.