Skip to main content
SpringerLink
Log in

Determining Prefracture Zones at a Crack Tip Between Two Elastic Orthotropic Bodies

  • Published:
International Applied Mechanics Aims and scope

Abstract

The model of prefracture zones is generalized to a crack between two anisotropic materials. An exact analytical solution is found on the assumptions that the prefracture zone is localized on the crack continuation and that only the normal displacements undergo discontinuity in the zone. From this solution, equations for determining the prefracture length and crack tip opening are derived

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. A. A. Kaminskii, L. A. Kipnis, and V. A. Kolmakova, “On the Dagdale model for a crack at the interface of different media,” Int. Appl. Mech., 35, No. 1, 63-68 (1999).

    Google Scholar 

  2. A. A. Kaminskii and G. I. Usikova, “Experimental investigation into the distribution of plastic strains at crack tips under static loading,” Prikl. Mekh., 30, No. 11, 69-75 (1994).

    Google Scholar 

  3. S. G. Lekhnitskii, Elastic Theory for an Anisotropic Body [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  4. N. I. Muskhelishvili, Singular Integral Equations [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  5. E. L. Nakhmein and B. M. Nuller, “Contact of an elastic half-plane with a partially separated die,” Prikl. Mat. Mekh., 50, No. 4, 663-673 (1986).

    Google Scholar 

  6. V. V. Panasyuk, Limit Equilibrium of Brittle Bodies with Cracks [in Russian], Naukova Dumka, Kiev (1968).

    Google Scholar 

  7. G. P. Cherepanov, Mechanics of Brittle Fracture [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  8. A. E. Sheveleva, “Modeling the fracture zone of an interfacial crack,” Mashinoznavstvo, No. 4, 46-50 (1999).

    Google Scholar 

  9. M. V. Dudik, L. A. Kipnis, and A. V. Pavlenko, “Analysis of plastic slip lines at the tip of a crack terminating at the interface of different media,” Int. Appl. Mech., 38, No. 2, 197-202 (2002).

    Google Scholar 

  10. A. N. Guz, “Critical phenomena in cracking of the interface between two prestressed materials. 1. Problem formulation and basic relations,” Int. Appl. Mech., 38, No. 4, 423-431 (2002).

    Google Scholar 

  11. A. N. Guz, “Critical phenomena in cracking of the interface between two prestressed materials. 2. Exact solution. The case of unequal roots,” Int. Appl. Mech., 38, No. 5, 548-555 (2002).

    Google Scholar 

  12. K. P. Herrmann and V. V. Loboda, “On interface crack models with contact zones situated in an anisotropic bimaterial,” Arch. Appl. Mech., 69, 317-335 (1999).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dnepropetrovsk State University, Dnepropetrovsk, Ukraine

    V. V. Loboda & A. E. Sheveleva

Authors
  1. V. V. Loboda
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. E. Sheveleva
    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

Loboda, V.V., Sheveleva, A.E. Determining Prefracture Zones at a Crack Tip Between Two Elastic Orthotropic Bodies. International Applied Mechanics 39, 566–572 (2003). https://doi.org/10.1023/A:1025139625891

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1025139625891

Search

Navigation