Skip to main content
Log in

New solution of the plane problem for an equilibrium crack

  • Published:
Mechanics of Solids Aims and scope Submit manuscript

Abstract

We consider the classical plane problem of elasticity about a crack in an isotropic elastic unbounded plane resulting in a singular solution for the stresses near the crack edge. Relations of generalized elasticity with a small parameter characterizing the medium microstructure are derived, and the higher order of these relations permits eliminating the singularity of the classical solution. An experimental method for determining the medium parameter is proposed, and the corresponding experimental results are given.

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. Yu. N. Rabotnov, Mechanics of Deformable Solids (Nauka, Moscow, 1979) [in Russian].

    Google Scholar 

  2. E. Liebowitz (Editor), Fracture, Vol. 2: Mathematical Fundamentals (Academic Press, New York–London, 1968;Mir,Moscow, 1975).

    Google Scholar 

  3. V. V. Vasil’ev and S. A. Lurie, “Model of a Solid withMicrostructure,” Kompos. Nanostr. 7 (1), 2–10 (2015).

    Google Scholar 

  4. V. V. Vasil’ev and S. A. Lurie, “Generalized Theory of Elasticity,” Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 16–27 (2015) [Mech. Solids (Engl. Transl.) 50 (4), 379–388 (2015)].

    Google Scholar 

  5. V. V. Vasil’ev and S. A. Lurie, “Generalized Solution of the Problem of a Circular Membrane Loaded by a Concentrated Force,” Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 3, 115–119 (2016) [Mech. Solids (Engl. Transl.) 51 (3), 334–338 (2016)].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. V. Vasil’ev.

Additional information

Original Russian Text © V.V. Vasil’ev, S.A. Lurie, 2016, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2016, No. 5, pp. 61–67.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vasil’ev, V.V., Lurie, S.A. New solution of the plane problem for an equilibrium crack. Mech. Solids 51, 557–561 (2016). https://doi.org/10.3103/S0025654416050071

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0025654416050071

Keywords

Navigation