Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films

Journal of the Mechanics and Physics of Solids

Volumn 53, Issue 8, 2005, Pages 1827-1854

  Dingreville, Rémi ^a   Qu, Jianmin ^a   Mohammed Cherkaoui, ^b  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITÉ DE LORRAINE   (France)

Author keywords

Nano fiber; Nano film; Nano wire; Surface energy; Surface stress

Indexed keywords

ASPECT RATIO; CONTINUUM MECHANICS; ELASTICITY; FILMS; FREE ENERGY; INTEGRAL EQUATIONS; NANOSTRUCTURED MATERIALS; PARTICLES (PARTICULATE MATTER); STRESSES; WIRE;

NANOFIBERS; NANOFILMS; NANOWIRES; SURFACE STRESSES;

INTERFACIAL ENERGY;

EID: 20444494915     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2005.02.012     Document Type: Article

References (54)

1. G.J. Ackland, and M.W. Finnis Semi-empirical calculation of solid surface tensions in B.C.C. transition metals Philos. Mag. A 54 1986 301 315
2. J.B. Adams, W.G. Wolfer, and S.M. Foiles Elastic properties of grain boundaries in copper and their relationship to bulk elastic constants Phys. Rev. B 40 1989 9479 9484
3. I. Alber, J.L. Bassani, M. Khantha, V. Vitek, and G.J. Wang Grain boundaries as heterogeneous systems: atomic and continuum elastic properties Philos. Trans. R. Soc. London A 339 1992 555 586
4. M.I. Alymov, and M.K. Shorshorov Surface tension of ultrafine particles NanoStruct. Mater. 12 1999 365 368
5. R. Aris Vectors, Tensors, and Basic Equations of Fluid Mechanics 1962 Prentice-Hall Englewood Cliffs, NJ
6. Baker, S.P., Small, M.K., Vlassak, B.J., Daniels, B.J., Nix, W.D., 1993. The search for the supermodulus effect. In: Nastasi, M., Parkin, D. M., Gleiter, H., (Eds.), Mechanical Properties and Deformation Behavior of Materials Having Ultra-Fine Microstructures. Kluwer Academic Publishers, Netherlands, pp. 53-67.
7. A. Banerjea, and J.R. Smith Continuum elasticity analysis of the enhanced modulus effect in metal-alloy superlattice films Phys. Rev. B 35 1987 5413 5420
8. J.L. Bassani, V. Vitek, and I. Alber Atomic-level elastic properties of interfaces and their relation to continua Acta Metall. Mater. 40 1992 S307 S320
9. J.M. Blakely Introduction to the Properties of Crystal Surfaces 1973 Pergamon Press New York
10. M.J. Buerger Elementary Crystallography 1963 Wiley New York (Chapter 11)
11. R.C. Cammarata Surface and interface stress effects on interfacial and nanostructured materials Mater. Sci. Eng. A 237 1997 180 184
12. R.C. Cammarata, and K. Sieradzki Effects of surface stress on the elastic moduli of thin films and superlattices Phys. Rev. Lett. 62 1989 2005 2008
13. R.C. Cammarata, and K. Sieradzki Surface and interface stresses Annu. Rev. Mater. Sci. 24 1994 215 234
14. R.C. Cammarata, T.M. Trimble, and D.J. Srolovitz Surface stress model for intrinsic stresses in thin films J. Mater. Res. 15 2000 2468 2474
15. L. Capolungo, C. Jochum, M. Cherkaoui, and J. Qu Homogenization method for strength and inelastic behavior of nanocrystalline materials Int. J. Plasticity 21 2005 67 82
16. Capolungo, L., Cherkaoui, M., Qu, J., 2005, A self consistent model for the inelastic deformation of nanocrystalline materials. ASME J. Eng. Mater. Technol., to appear.
17. A. Catlin, and W.P. Walter Mechanical properties of thin single-crystal gold films J. Appl. Phys. 31 1960 2135 2139
18. J. Diao, K. Gall, and M.L. Dunn Surface-stress-induced transformation in metal nanowires Nat. Mater. 2 2003 656 660
19. J. Diao, K. Gall, and M.L. Dunn Atomistic simulation of the structure and elastic properties of gold nanowires J. Mech. Phys. Solids 52 2004 1935 2186
20. Dingreville, R., Qu, J., Cherkaoui, M., 2005. Calculating surface energy using molecular static simulations., in preparation.
21. A. Fartash, E.E. Fullerton, I.K. Schuller, S.E. Bobbin, J.W. Wagner, R.C. Cammarata, S. Kumar, and M. Grimsditch Evidence for the supermodulus effect and enhanced hardness in metallic superlattices Phys. Rev. B 44 1991 13760 13763
22. Fougere, G.E., Riester, L., Ferber, M., Weertman, J.R., Siegel, R.W., 1995. Young's Modulus of nanocrystalline Fe measured by nanoindentation. Mater. Sci. Eng. A 2004, 1-6.
23. J.W. Gibbs The Collected Works of J. Willard Gibbs 1928 Longmans New York
24. H. Gleiter Nanocrystalline materials Prog. Mater. Sci. 33 1989 223 315
25. M.E. Gurtin, and A.I. Murdoch A continuum theory of elastic material surfaces Arch. Rat. Mech. Anal. 57 1975 291 323
26. M.E. Gurtin, and A.I. Murdoch Surface stress in solids Int. J. Solids Struct. 14 1978 431 440
27. M.E. Gurtin, J. Weissmuller, and F. Larche A general theory of curved deformable interfaces in solids at equilibrium Philos. Mag. A 78 1998 1093 1109
28. Itozaki, H., 1982. Mechanical properties of composition modulated copper-palladium foils. Ph. D. Thesis, Northwestern University.
29. M.D. Kluge, D. Wolf, J.F. Lutsko, and S.R. Phillpot Formalism for the calculation of local elastic constants at grain boundaries by means of atomistic simulation J. Appl. Phys. 67 1990 2370
30. D. Korn, A. Morsch, R. Birringer, W. Arnold, and H. Gleiter Measurements of the elastic constants and the specific heat and the entropy of grain boundaries by means of ultrasound J. Phys. 49 1988 C5 769
31. Y.U. Kosevich, and A.M. Kosevich On the possibility of measuring the tensor of surface stress in thin crystalline plates Solid State Commun. 70 1989 541 543
32. V. Krstic, U. Erb, and G. Palumbo Effect of porosity on Young's modulus of nanocrystalline materials Scr. Metall. Mater. 29 1993 1501 1504
33. A.G. Marinopoulos, V. Vitek, and J.L. Bassani Local and effective elastic properties of grain boundaries in silicon Phys. Stat. Sol. A 166 1998 453 473
34. R.E. Miller, and V.B. Shenoy Size dependent elastic properties of nanosized structural elements Nanotechnology 11 2000 139 147
35. A.I. Murdoch A thermodynamical theory of elastic material interfaces Q. J. Mech. Appl. Math. 29 1976 245 275
36. G.W. Nieman, J.R. Weetman, and R.W. Siegel Mechanical behavior of nanocrystalline Cu and Pd J. Mater. Res. 6 1991 1012 1027
37. W.D. Nix, and B.M. Clemens Crystallite coalescence: a mechanism for intrinsic tensile stresses in thin films J. Mater. Res. 14 1999 3467 3473
38. W.D. Nix, and H. Gao Atomistic interpretation of interface stress Scr. Mater. 39 1998 1653 1661
39. Z.W. Pan, Z.R. Dai, and Z.L. Wang Nanobelts of semiconducting oxides Science 291 2001 1947 1950
40. Z.W. Pei, and H.L. Hwang Formation of silicon nano-dots in luminescent silicon nitride Appl. Surf. Sci. 212 2003 760 764
41. S.R. Phillpot, D. Wolf, and H. Gleiter Molecular dynamic study of the synthesis and characterization of a fully dense, three-dimensional nanocrystalline material J. Appl. Phys. 78 1995 847 860
42. D. Sander Surface stress: implications and measurements Curr. Opin. Solid State Mater. Sci. 7 2003 51 57
43. J. Schiøtz, F.D. Di Tolla, and K.W. Jacobsen Softening of nanocrystalline metals at very small grain sizes Nature 391 1998 561 563
44. Sharma, P., Ganti, S., 2003. Size-dependent Eshelby's tensor for embedded nano-inclusions incorporating surface/interface energies. Private Communications.
45. R. Shuttleworth The surface tension of solids Proc. R. Soc. London A 63 1950 444 457
46. F.H. Streitz, R.C. Cammarata, and K. Sieradzki Surface-stress effects on elastic properties, I: thin metal films Phys. Rev. B 49 1994 10699 10706
47. F.H. Streitz, R.C. Cammarata, and K. Sieradzki Surface-stress effects on elastic properties, II: metallic multilayers Phys. Rev. B 49 1994 10707 10716
48. C. Suryanarayana Nanocrystalline materials Inter. Mater. Rev. 40 1995 41 64
49. V. Vitek, G.J. Wang, I. Alber, and J.L. Bassani Relationship between modeling of the atomic structure of grain boundaries and studies of mechanical properties J. Phys. Chem. Solids 55 1994 1147 1156
50. D. Wolf, and M. Kluge Relationship between shear resistance and local atomic structure at grain boundaries in FCC metals Scr. Metall. 24 1990 907 914
51. D. Wolf, and J.F. Lutsko Structurally-induced elastic anomalies in a supperlattice of (0 0 1) twist grain boundaries J. Mater. Res. 4 1989 1427 1443
52. D. Wolf, J.F. Lutsko, and M. Kluge Physical properties of grain-boundary materials: comparison of EAM and central-force potentials V. Vitek D.J. Srolovitz Atomistic Simulation of Materials: Beyond Pair Potentials 1989 Plenum Press New York 245 264
53. F. Yang Size dependent effective modulus of elastic composite materials: spherical nanocavities at dilute concentrations J. Appl. Phys. 95 2004 3516 3520
54. L.G. Zhou, and H. Huang Are surfaces elastically softer or stiffer? Appl. Phys. Lett. 84 2004 1940 1942