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Surface Effects on Elastic Fields Around Surface Defects

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Abstract

There are always severe stress concentrations around surface defects like grooves or bugles, which might induce the failure of solid materials and structures. In the present paper, we consider the elastic fields around nanosized bugles and grooves on solid surfaces. The influence of surface elasticity on the elastic deformation is addressed through a finite element method. It is found that when the size of defects shrinks to nanometer, the stress fields around such defects will be affected significantly by surface effects.

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References

  1. Efimenko, K., Rackaitis, M., Manias, E., Vaziri, A., Mahadevan, L. and Genzer, J., Nested self-similar wrinkling patterns in skins. Nature Materials, 2005, 4: 293–297.

    Article  Google Scholar 

  2. Moll, N., Scheffler, M. and Pehlke, E., Compressive and tensile stress in colloidal CdSe semiconductor quantum dots. Physical Review B, 2004, 70: 235311.

    Article  Google Scholar 

  3. Williamson, A.J. and Zunger, A., Effect of interfacial states on the binding energies of electrons and holes in InAs/GaAs quantum dots. Physical Review B, 1998, 58: 6724–6727.

    Article  Google Scholar 

  4. Wong, E., Sheehan, P.E. and Liebe, C.M., Nanobeam mechanics: elasticity, strength, and toughness of nanorods and nanotubes. Science, 1997, 277: 1971–1975.

    Article  Google Scholar 

  5. Gurtin, M.E. and Murdoch, A.I., Surface stress in solids. International Journal of Solids and Structures, 1978, 14: 431–440.

    Article  Google Scholar 

  6. Gurtin, M.E., Weissmuller, J. and Larche, F., A general theory of curved deformable interfaces in solids at equilibrium. Philosophical Magazine A, 1998, 78: 1093–1109.

    Article  Google Scholar 

  7. Miller, R.E. and Shenoy, V.B., Size-dependent elastic properties of nanosized structural elements. Nanotechnology, 2000, 11: 139–147.

    Article  Google Scholar 

  8. Shenoy, V.B., Size-dependent rigidities of nanosized torsional elements. International Journal of Solids and Structures, 2002, 39: 4039–4052.

    Article  Google Scholar 

  9. Sharma, P., Ganti, S. and Bhate, N., Effect of surfaces on the size-dependent elastic state of nanoinhomogeneities. Applied Physics Letters, 2003, 82: 535–537.

    Article  Google Scholar 

  10. Wang, G.F. and Wang, T.J., Deformation around a nanosized elliptical hole with surface effect. Applied Physics Letters, 2006, 89: 161901.

    Article  Google Scholar 

  11. Wang, G.F., Feng, X.Q. and Yu, S.W., Interface effects on the diffraction of plane compressional waves by a nanosized spherical inclusion. Journal of Applied Physics, 2007, 102: 043533.

    Article  Google Scholar 

  12. Duan, H.L., Wang, J., Huang, Z.P. and Karihaloo, B.L., Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress. Journal of the Mechanics and Physics of Solids, 2005, 53: 1574–1596.

    Article  MathSciNet  Google Scholar 

  13. Wang, G.F. and Feng, X.Q., Effects of surface stresses on contact problems at nano scale. Journal of Applied Physics, 2007, 101: 013510.

    Article  Google Scholar 

  14. He, L.H. and Lim, C.W., Surface Green function for a soft elastic half-space: influence of surface stress. International Journal of Solids and Structures, 2006, 43: 132–143.

    Article  Google Scholar 

  15. Wang, G.F., Feng, X.Q., Wang, T.J. and Gao, W., Surface effects on the near-tip stresses for mode-I and mode-III cracks. Journal of Applied Mechanics, 2008, 75(1): 011001.

    Article  Google Scholar 

  16. Fu, X.L., Wang, G.F. and Feng, X.Q., Surface effects on the near-tip stress fields of a mode-II crack. International Journal of fracture, 2008, 151: 95–106.

    Article  Google Scholar 

  17. Avazmohammadi, R., Yang, F. 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, 2009, 46: 2897–2906.

    Article  Google Scholar 

  18. Huang, G.Y. and Yu, S.W., Effect of surface elasticity on the interaction between steps. Journal of Applied Mechanics, 2007, 74(4): 821–823.

    Article  Google Scholar 

  19. Gao, W., Yu, S.W. and Huang, G.Y., Finite element characterization of the size-dependent mechanical behavior in nanosystems. Nanotechnology, 2006, 17: 1118–1122.

    Article  Google Scholar 

  20. Huang, Z.P., and Wang, J., A theory of hyperelasticity of multi-phase media with surface/interface energy effect. Acta Mechanics, 2006, 182: 195–210.

    Article  Google Scholar 

  21. 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 Science, 2010, 48: 140–150

    Article  Google Scholar 

  22. Wang, G.F. and Feng, X.Q., Effects of surface elasticity and residual surface tension on the natural frequency of microbeams. Applied Physics Letters, 2007, 90: 231904.

    Article  Google Scholar 

  23. Chen, T., Dvorak, G.J. and Yu, C.C., Size-dependent elastic properties of unidirectional nano-composites with interface stresses. Acta Mechanics, 2007, 188: 39–54.

    Article  Google Scholar 

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Authors and Affiliations

  1. SVL, Department of Engineering Mechanics, Xi’an Jiaotong University, Xi’an, 710049, China

    Xiaolong Fu & Gangfeng Wang

Authors
  1. Xiaolong Fu
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  2. Gangfeng Wang
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Correspondence to Gangfeng Wang.

Additional information

Project supported by the National Natural Science Foundation of China (No. 10602042) and the NCET Program of the Ministry of Education.

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Fu, X., Wang, G. Surface Effects on Elastic Fields Around Surface Defects. Acta Mech. Solida Sin. 23, 248–254 (2010). https://doi.org/10.1016/S0894-9166(10)60027-4

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  • DOI: https://doi.org/10.1016/S0894-9166(10)60027-4

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