Skip to main content
SpringerLink
Log in

Anisotropic Material with Arbitrarily Oriented Cracks and Elliptical Holes: Effective Elastic Moduli

  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

Effective moduli of a 2-D anisotropic solid with elliptical holes of an arbitrary (non-random) orientational distribution are given in closed form. The results are derived in the non-interacting approximation - the basic building block for various approximate schemes. Proper tensorial parameters of defect density are identified.

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

  • Kachanov, M. (1992). Effective elastic properties of cracked solids: critical review of some basic concepts. Appl. Mech. Reviews 45(8), 304-335.

    Google Scholar 

  • Kachanov, M. (1993). Elastic solids with many cracks and related problems. In Advances in Applied Mechanics, 30 (ed. J. W. Hutchinson & T. Y. Wu), pp. 259-445. Academic Press.

  • Kachanov, M. (1998). Solids with cracks and non-spherical pores: proper parameters of defect density and effective elastic properties. Int. J. Fract, in press.

  • Kachanov, M., Tsukrov, I. & Shafiro, B. (1994). Effective properties of solids with cavities of various shapes. Appl. Mech. Reviews 47(1), 151-174.

    Article  Google Scholar 

  • Lekhnitski, S.G. (1936). Stresses in an infinitely large anisotropic plate which is weakened by an elliptical hole. Dokl. Akad. Nauk SSSR, 4(3).

  • Lekhnitski, S.G. (1963). Theory of elasticity of anisotropic elastic body. San-Francisco: Holden-Day.

    Google Scholar 

  • Mauge, C. & Kachanov, M. (1992). Interacting arbitrarily oriented cracks in anisotropic matrix Stress intensity factors and effective moduli. Int. J. Fract. 58, R69-R74.

    Article  ADS  Google Scholar 

  • Mauge, C. & Kachanov, M. (1994). Effective elastic properties of anisotropic materials with arbitrarily oriented cracks. J. Mech. Phys. Solids 42, 1-24.

    Article  MathSciNet  Google Scholar 

  • Tsukrov, I. & Kachanov, M. (1993). Solids with holes of irregular shapes: effective moduli and anisotropy. Int. J. Fract. 64, R9-12.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of New Hampshire Durham, NH, 03824, USA e-mail

    Igor Tsukrov

  2. Department of Mechanical Engineering, Tufts University Medford, MA, 02155, USA e-mail

    Mark Kachanov

Authors
  1. Igor Tsukrov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mark Kachanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tsukrov, I., Kachanov, M. Anisotropic Material with Arbitrarily Oriented Cracks and Elliptical Holes: Effective Elastic Moduli. International Journal of Fracture 92, 9–14 (1998). https://doi.org/10.1023/A:1007598017845

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1007598017845

Keywords

Search

Navigation