Skip to main content
SpringerLink
Log in

Effective elastic moduli of an inhomogeneous medium with cracks

  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

In the present paper, the effective elastic moduli of an inhomogeneous medium with cracks are derived and obtained by taking into account its microstructural properties which involve the shape, size and distribution of cracks and the interaction between cracks. Numerical results for the periodic microstructure of different dimensions are presented. From the results obtained, it can be found that the distribution of cracks has a significant effect on the effective elastic moduli of the material.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Budiansky B, O'Connell RJ. Elastic moduli of a cracked solid.Int J Solids Struct, 1976, 12: 81–97

    Article  MATH  Google Scholar 

  2. Horii H, Nemat-Nasser S. Overall moduli of solids with microcracks: load-induced anisotropy.J Mech Phys Solids, 1983, 31: 155–171

    Article  MATH  Google Scholar 

  3. Hoeing A. Elastic moduli of a non-randomly cracked body.Int J Solids Struct, 1979, 15: 137–154

    Article  Google Scholar 

  4. Bruner WM Comment on ‘Seismic Velocities in Dry and Saturated Cracked Solids’ by RJ O'Connell and B Budiansky.J Geophys Res, 1976, 81: 2573–2576

    Google Scholar 

  5. Henyey FS, Pomphrey N. Self-consistent moduli of a cracked solid.Geophys Res Lett, 1982, 9: 903–906

    Google Scholar 

  6. Kachanov M. Elastic solids with many cracks: a simple method of analysis.Int J Solids Struct, 1987, 23: 23–43

    Article  MATH  Google Scholar 

  7. Kunin IA. Elastic Media with Microstructure II. New York: Springer-Verlag, 1983

    MATH  Google Scholar 

  8. Sayers CM, Kachanov M. A simple technique for finding effective elastic constants of cracked solids for arbitrary crack orientation statistics.Int J Solids Struct, 1991, 27: 671–680

    Article  Google Scholar 

  9. Hashin Z. The differential scheme and its application to cracked materials.J Mech Phys Solids, 1988, 36:719–734

    Article  MATH  MathSciNet  Google Scholar 

  10. Deng H, Nemat-Nasser S. Microcrack arrays in isotropic solids.Mech Mater, 1992, 13: 15–36

    Article  Google Scholar 

  11. Mura T. Micromechanics of Defects in solids. The Netherlands: Martinus Nijhoff, 1987

    Google Scholar 

  12. Nomura S, Chou T-W. Bounds for elastic moduli of multiphase short-fiber composites.J Appl Mech, 1984, 51: 540–545

    Article  MATH  Google Scholar 

  13. Wu LZ. Meso-theory on the Elastic Media with Inclusions and Distributed Cracks. PhD Thesis, Harbin Institute of Technology, Harbin, 1992 (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Astronautics, Harbin Institute of Technology, 150001, Harbin, China

    Wu Linzhi & Du Shanyi

Authors
  1. Wu Linzhi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Du Shanyi
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The project supported by the National Education Committee for Doctor

Rights and permissions

Reprints and permissions

About this article

Cite this article

Linzhi, W., Shanyi, D. Effective elastic moduli of an inhomogeneous medium with cracks. Acta Mech Sinica 11, 153–161 (1995). https://doi.org/10.1007/BF02487623

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02487623

Key Words

Search

Navigation