Skip to main content
Log in

Interface effect on the effective bulk modulus of a particle-reinforced composite

  • Note
  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

Classical micromechanical methods for calculating the effective moduli of a heterogeneous material are generalized to include the interface (surface) effect. By using Hashin's Composite Sphere Assemblage (CSA) model, a new expression of the bulk modulus for a particle-reinforced composite is derived. It is emphasized that the present study is within the finite-deformation framework such that the effective properties are not influenced by the interface stress itself solely, but influenced by the change of the interface stress due to changes of the shape and size of the interface. Hence some inadequacies in previous papers are pointed out.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Chen SH, Wang TC. Strain gradient theory with couple stress for crystalline solids.Eur J Mech A/Solids, 2001, 20: 739–756

    Article  MATH  Google Scholar 

  2. Wei YG. Particulate size effects in the particlereinforced metal-matrix composites.Acta Mech Sinica, 2001, 17: 45–58

    Article  MATH  Google Scholar 

  3. Xue Z, Huang Y, Li, M. Particle size effect in metallic materials: a study by the theory of mechanism-based strain gradient plasticity.Acta Materialia, 2002, 50: 149–160

    Article  Google Scholar 

  4. Liu B, Qiu X, Huang Y, et al. The size effect on void growth in ductile materials.J Mech Phy Solids, 2003, 51: 1171–1187

    Article  MATH  Google Scholar 

  5. Xun F, Hu GK, Huang ZP. Effect in plane moduli of composites with a micropolar matrix and coated fibers.Int J Solid Struct, 2004, 41: 247–265

    Article  MATH  Google Scholar 

  6. Hu GK, Liu XN, Xun F. Micromechanics of heterogeneous micropolar mediums.Advances in Mechanics, 2004, 34(2): 195–214 (in Chinese)

    Google Scholar 

  7. Gurtin ME, Murdoch AI. A continuum theory of elastic material surface,Arch Rat Mech Anal, 1975, 57: 291–323

    Article  MATH  MathSciNet  Google Scholar 

  8. Suo Z. Motions of microscopic surfaces in materials.Advances in Applied Mechanics, 1997, 33: 193–294

    Article  MATH  Google Scholar 

  9. Nix WD, Gao H. An atomistic interpretation of interface stress.Scripta Materialia, 1998, 39(12): 1653–1661

    Article  Google Scholar 

  10. Cammarata RC. Surface and interface stress effects on interfacial and nanostructured materials.Mater Sci Eng, 1997, A237: 180–184

    Google Scholar 

  11. Miller RE, Shenoy VB. Size-dependent elastic properties of nanosized structural elements.Nanotechnology, 2000, 11: 139–147

    Article  Google Scholar 

  12. Jiang Q, Zhao DS, Zhao M. Size-dependent interface energy and related interface stress.Acta Materialia, 2001, 49: 3143–3147

    Article  Google Scholar 

  13. Sharma P, Ganti S, Bhate N. Effect of surfaces on the size-dependent elastic state of nano-inhomogeneities.Appl Phys Lett, 2003, 82(4): 535–537

    Article  Google Scholar 

  14. Hashin Z. The elastic moduli of heterogeneous materials.Trans ASME J Appl Mech, 1962, 29: 143–150

    MATH  MathSciNet  Google Scholar 

  15. Yang FQ. Size-dependent effective modulus of elastic composite materials: Spherical nanocavities at dilute concentrations.J Appl Phys, 2004, 95: 3516–3520

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The project supported by the National Natural Science Foundation of China (10032010, 10372004) and Shanghai Leading Academic Discipline

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, S., Yiming, W., Zhuping, H. et al. Interface effect on the effective bulk modulus of a particle-reinforced composite. Acta Mech Sinica 20, 676–679 (2004). https://doi.org/10.1007/BF02485873

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02485873

Key Words

Navigation