Size-dependent response of ultra-thin films with surface effects

International Journal of Solids and Structures

Volumn 45, Issue 2, 2008, Pages 568-579

  Huang, D W ^a  

^a JIAXING UNIVERSITY   (China)

Author keywords

Intrinsic scale; Size dependence; Surface effects; Thin film

Indexed keywords

MECHANICAL PROPERTIES; NONLINEAR EQUATIONS; PROBLEM SOLVING; STRESS ANALYSIS; SURFACE ANALYSIS;

INTRINSIC SCALES; MECHANICAL BEHAVIOR; SURFACE EFFECTS;

ULTRATHIN FILMS;

EID: 44249105164     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2007.08.006     Document Type: Article

References (26)

1. Cammarata R.C. Surface and interface stress effects in thin-films. Progress in Surface Science 46 1 (1994) 1-38
2. Cammarata R.C., and Sieradzki K. Effects of surface stress on the elastic moduli of thin films and superlattices. Physical Review Letters 62 (1989) 2005-2008
3. Craighead H.G. Nanoelectromechanical systems. Science 290 (2000) 1532-1535
4. Cuenot S., Fretigny C., Demoustier-Champagne S., and Nysten B. Surface tension effect on the mechanical properties of nanomaterials measured by atomic force microscopy. Physical Review B 69 (2004) 165410
5. Freund L.B., and Suresh S. Thin Film Materials: Stress. Defect Formation and Surface Evolution (2003), Cambridge University Press, Cambridge
6. Guo J.G., and Zhao Y.P. The size-dependent elastic properties of nanofilms with surface effects. Journal of Applied Physics 98 7 (2005) 074306
7. Gurtin M.E., and Murdoch A.I. A continuum theory of elastic material surfaces. Archive for Rational Mechanics and Analysis 57 (1975) 291-323
8. Gurtin M.E., and Murdoch A.I. Addenda to our paper: a continuum theory of elastic material surfaces. Archive for Rational Mechanics and Analysis 59 (1975) 389-390
9. Gurtin M.E., and Murdoch A.I. Surface stress in solids. International Journal of Solids and Structures 14 (1978) 431-440
10. He L.H., and Li Z.R. Impact of surface stress on stress concentration. International Journal of Solids and Structures 43 20 (2006) 6208-6219
11. He L.H., Lim C.W., and Wu B.S. A continuum model for size-dependent deformation of elastic films of nano-scale thickness. International Journal of Solids and Structures 41 3-4 (2004) 847-857
12. Liang L.H., Li J.C., and Jiang Q. Size-dependent elastic modulus of Cu and Au thin films. Solid State Communications 121 8 (2002) 453-455
13. Lim C.W., and He L.H. Size-dependent nonlinear response of thin elastic films with nano-scale thickness. International Journal of Mechanical Sciences 46 11 (2004) 1715-1726
14. Lu P., He L.H., Lee H.P., and Lu C. Thin plate theory including surface effects. International Journal of Solids and Structures 43 16 (2006) 4631-4647
15. Miller R.E., and Shenoy V.B. Size-dependent elastic properties of nanosized structural elements. Nanotechnology 11 3 (2000) 139-147
16. Muller P., and Saul A. Elastic effects on surface physics. Surface Science Reports 54 5-8 (2004) 157-258
17. Reddy J.N. Theory and Ananlysis of Elastic Plates (1999), Taylor & Francis, Philadelphia
18. Sharma P., and Ganti S. Size-dependent Eshelby's tensor for embedded nano-inclusions incorporating surface/interface energies. Journal of Applied Mechanics-Transactions of the Asme 71 5 (2004) 663-671
19. Shim H.W., Zhou L.G., Huang H.C., and Cale T.S. Nanoplate elasticity under surface reconstruction. Applied Physics Letters 86 15 (2005) 151912
20. Sun C.T., and Zhang H.T. Size-dependent elastic moduli of platelike nanomaterials. Journal of Applied Physics 93 2 (2003) 1212-1218
21. Wolf D. Surface-stress-induced structure and elastic behavior of thin films. Applied Physics Letters 58 (1991) 2081-2083
22. Wong E.W., Sheehan P.E., and Lieber C.M. Nanobeam mechanics: elasticity, strength, and toughness of nanorods and nanotubes. Science 277 5334 (1997) 1971-1975
23. Xia Y.N., Yang P.D., Sun Y.G., Wu Y.Y., Mayers B., Gates B., Yin Y.D., Kim F., and Yan Y.Q. One-dimensional nanostructures: synthesis, characterization and applications. Advanced Materials 15 5 (2003) 353-389
24. Yu Y.-Y. Vibrations of Elastic Plates (1995), Springer, New York
25. Zhang H.T., and Sun C.T. Nanoplate model for platelike nanomaterials. AIAA Journal 42 10 (2004) 2002-2009
26. Zhou L.G., and Huang H.C. Are surfaces elastically softer or stiffer?. Applied Physics Letters 84 (2004) 1940-1942