Self-instability and bending behaviors of nano plates

Acta Mechanica Solida Sinica

Volumn 22, Issue 6, 2009, Pages 630-643

  Wang, Zhiqiao ^a   Zhao, Yapu ^a  

^a INSTITUTE OF MECHANICS   (China)

Author keywords

nano plates; residual stress; self buckling; surface tension

Indexed keywords

BENDING BEHAVIOR; BUCKLING AND BENDING; COMPRESSIVE RESIDUAL STRESS; ELASTIC RESPONSE; EXTERNAL LOADING; HOOKE'S LAW; KIRCHHOFF PLATE THEORY; NANO PLATES; NANO-PLATE; RESIDUAL STRESS FIELDS; SELF-BUCKLING; SELF-EQUILIBRIUM; SIMPLY SUPPORTED; SURFACE EFFECT; SURFACE ELASTICITIES;

BUCKLING; CAPILLARITY; ELASTICITY; STRESS ANALYSIS; SURFACE CHEMISTRY; SURFACE PROPERTIES; SURFACE TENSION; WETTING;

RESIDUAL STRESSES;

EID: 73149091650     PISSN: 08949166     EISSN: 18602134     Source Type: Journal    
DOI: 10.1016/S0894-9166(09)60393-1     Document Type: Article

References (36)

1. Craighead H.G. Nanoelectromechanical systems. Science 290 (2000) 1532-1535
2. Li M., Tang H.X., and Roukes M.L. Ultra-sensitive NEMS-based cantilevers for sensing, scanned probe and very high-frequency applications. Nature Nanotechnology 2 (2007) 114-120
3. Miller R.E., and Shenoy V.B. Size-dependent elastic properties of nanosized structural elements. Nanotechnology 11 (2000) 139-147
4. Guo J.G., and Zhao Y.P. The size-dependent elastic properties of nanofilms with surface effects. Journal of Applied Physics 98 (2005) 074306
5. Shim H.W., Zhou L.G., Huang H., and Cale T.S. Nanoplate elasticity under surface reconstruction. Applied Physics Letters 86 (2005) 151912
6. Zhang L., and Huang H. Young's moduli of ZnO nanoplates: ab initio determinations. Applied Physics Letters 89 (2006) 183111
7. Cao G., and Chen X. Energy analysis of size-dependent elastic properties of ZnO nanofilms using atomistic simulations. Physical Review B 76 (2007) 165407
8. Guo J.G., and Zhao Y.P. The size-dependent bending elastic properties of nanobeams with surface effects. Nanotechnology 18 (2007) 295701
9. Wang J., Huang Q.A., and Yu H. Young's modulus of silicon nanoplates at finite temperature. Applied Surface Science 255 (2008) 2449-2455
10. Sun C.Q. Thermo-mechanical behavior of low-dimensional systems: The local bond average approach. Progress in Materials Science 54 (2009) 179-307
11. Zhou L.J., Guo J.G., and Zhao Y.P. Size and thermal expansion coefficient of a nanofilm temperature dependent. Chinese Physics Letters 26 (2009) 066201
12. Pradhan S.C., and Phadikar J.K. Nonlocal elasticity theory for vibration of nanoplates. Journal of Sound and Vibration 325 (2009) 206-223
13. Shuttleworth R. The surface tension of solids. Proceedings of the Physical Society Series A 63 (1950) 444-457
14. Gurtin M.E., and Murdoch A.I. A continuum theory of elastic material surfaces. Archive for Rational Mechanics and Analysis 57 (1975) 291-323
15. Murdoch A.I. Some fundamental aspects of surface modeling. Journal of Elasticity 80 (2005) 33-52
16. Steigmann D.J. Elastic surface-substrate interactions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 455 (1999) 437-474
17. Huang Z.P., and Wang J. A theory of hyperelasticity of multi-phase media with surface/interface energy effect. Acta Mechanica 182 (2006) 195-210
18. Wang,Z.Q., Zhao,Y.P. and Huang, Z.P., The effects of surface tension on the elastic properties of nano structures. International Journal of Engineering Sciences, 2009, in press, doi:10.1016/j.ijengsci.2009.07.007.
19. Dingreville R., and Qu J. Interfacial excess energy, excess stress and excess strain in elastic solids: planar interfaces. Journal of the Mechanics and Physics of Solids 56 (2008) 1944-1954
20. Cammarata R.C. Surface and interface stress effects in thin films. Progress in Surface Science 46 (1994) 1-38
21. Cammarata R.C., Trimble T.M., and Srolovitz D.J. Surface stress model for intrinsic stresses in thin films. Journal of Materials Research 15 (2000) 2468-2474
22. 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 (2004) 847-857
23. 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 (2004) 1715-1726
24. Dingreville R., Qu J., and Cherkaoui M. 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 53 (2005) 1827-1854
25. Lu P., He L.H., Lee H.P., and Lu C. Thin plate theory including surface effects. International Journal of Solids and Structures 43 (2006) 4631-4647
26. Huang R., Stafford C.M., and Vogt B.D. Effect of surface properties on wrinkling of ultrathin films. Journal of Aerospace Engineering 20 (2007) 38-44
27. Michael J.L., and John E.S. Effect of surface stress on the stiffness of cantilever plates. Physical Review Letters 99 (2007) 206102
28. Lin C.C., Yang F.Q., and Lee S. Surface wrinkling of an elastic film: effect of residual surface stress. Langmuir 24 (2008) 13627-13631
29. Gibbs J.W. On the equilibrium of heterogeneous substances. The Scientific Papers of J. Willard Gibbs. Volume 1: Thermodynamics (1961), Dover, New York 55-353
30. Zhao X.J., and Rajapakse R.K.N.D. Analytical solutions for a surface-loaded isotropic elastic layer with surface energy effects. International Journal of Engineering Science 47 (2009) 1433-1444 10.1016/j.ijengsci.2008.12.013
31. Cuenot S., Frétigny 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
32. Gurtin M.E., and Murdoch A.I. Surface stress in solids. International Journal of Solids and Structures 14 (1978) 431-440
33. Avazmohammadi R., Yang F.Q., and Abbasion S. Effect of interface stresses on the elastic deformation of an elastic half-plane containing an elastic inclusion. International Journal of Solids and Structures 46 (2009) 2897-2906
34. Hoger A. On the determination of residual stress in an elastic body. Journal of Elasticity 16 (1986) 303-324
35. Washizu K. Variational Methods in Elasticity and Plasticity (1982), Pergamon, Oxford
36. Timoshenko S., and Gere J.M. Theory of Elastic Stability (1961), McGraw-Hill, New York