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Acta Mechanica Solida Sinica

, Volume 21, Issue 1, pp 9–14 | Cite as

Surface effect on nanosized void growth in a rigid-perfectly plastic material

  • Tong Hui
  • Yiheng Chen
Article

Abstract

The influence of the surface effect on the nanosized spherical void growth in a rigid-perfectly plastic material is analyzed and the mechanism of the nanosized void growth with high triaxiality is given. Based on the Rice and Tracey model for a macro void growth, the present model is proposed to account for the nanosized void growth under a uniform remote strain rate field with consideration on the surface effect. It is concluded that the surface effect yields an evident resistant influence on the nanosized void growth. That is, this influence decays as the void radius increases. With high triaxiality, the nanosized void growth is divided into two stages: the initial stage and the mature stage. At the first stage, the void grows slowly and the influence of surface effect is relatively weak, whereas at the second stage, the influence is significant and the void grows drastically.

Key words

nanosized void extended variational principle void growth surface effect high triaxiality 

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References

  1. [1]
    Ortiz, M., Nanomechanics of defects in solids. Advances in Applied Mechanics, 1999, 36: 2–79.Google Scholar
  2. [2]
    Tian, L. and Rajapakse, R.K.N.D., Analytical solution for size-dependent elastic field of a nanoscale circular inhomogeneity. ASME Journal of Applied Mechanics, 2007, 74: 568–574.CrossRefGoogle Scholar
  3. [3]
    Zhang, W.X. and Wang, T.J., Effect of surface energy on the yield of nanoporous materials. Applied Physics Letter, 2007, 90: 063104.CrossRefGoogle Scholar
  4. [4]
    Wang, G.F. and Wang, T.J., Surface effects on the diffraction of plane compressional waves by a nanosized circular hole. Applied Physics Letter, 2006, 89: 231923.CrossRefGoogle Scholar
  5. [5]
    Rice, J.R. and Tracey, D.M., On the ductile enlargement of voids in triaxial stress fields. Journal of the Mechanics and Physics of Solids, 1969, 17: 201–217.CrossRefGoogle Scholar
  6. [6]
    Gurson, A.L., Continuum theory of ductile rupture by void nucleation and growth: part 1—yield criteria and flow rules for porous ductile media. ASME Trans. Journal of Engineering Materials and Technology, 1977, 99: 2–15.CrossRefGoogle Scholar
  7. [7]
    Tvergaard, V., Material failure by void growth to coalescence. Advances in Applied Mechanics, 1990, 27: 83–147.CrossRefGoogle Scholar
  8. [8]
    Thomason, P.F., Ductile fracture and the stability of incompressible plasticity in the presence of microvoids. Acta Metallurgica, 1981, 29: 763–777.CrossRefGoogle Scholar
  9. [9]
    Thomason, P.F., Three-dimensional models for the plastic limit-loads at incipient failure of the intervoid matrix in ductile porous solids. Acta Metallurgica, 1985, 33: 1079–1085.CrossRefGoogle Scholar
  10. [10]
    Thomason, P.F., A three-dimensional model for ductile fracture by the growth and coalescence of microvoids. Acta Metallurgica, 1985, 33: 1087–1095.CrossRefGoogle Scholar
  11. [11]
    Hill, R. The Mathematical Theory of Plasticity. New York: Oxford University Press, 1950.zbMATHGoogle Scholar
  12. [12]
    Gurtin, M.E. and Murdoch, A.I., A continuum theory of elastic material surfaces. Archive for Rational Mechanics & Analysis, 1975, 57: 291–323.MathSciNetCrossRefGoogle Scholar
  13. [13]
    Gurtin, M.E., Weissmuller, J., Larché, F., A general theory of curved deformable interfaces in solids at equilibrium. Philosophical Magazine A, 1988, 78: 1093–1109.CrossRefGoogle Scholar
  14. [14]
    Liu, B., Qiu, X., Huang, Y., Hwang, K.C., Li, M. and Liu, C., The size effect on void growth in ductile materials. Journal of the Mechanics and Physics of Solids, 2003, 53: 1171–1187.CrossRefGoogle Scholar
  15. [15]
    Pardoen, T. and Hutchinson, J.W., An extended model for void growth and coalescence. Journal of the Mechanics and Physics of Solids, 2000, 48: 2467–2512.CrossRefGoogle Scholar
  16. [16]
    Zhen, J. and Wang, Z.P., Evolution of voids in ductile porous material at high strain rate. Acta Mechanica Solida Sinica, 1994, 7: 191–202.Google Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2008

Authors and Affiliations

  1. 1.School of Aerospace, MOEXi’an Jiaotong UniversityXi’anChina

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