Skip to main content
SpringerLink
Log in

Dynamics of a rectilinear isolated crack growing at a constant rate under conditions of antiplane deformation

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

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

Literature cited

  1. B. V. Kostrov, “The non-steady-state propagation of a longitudinal shear crack,” Prikl. Mat. Mekh.,30, No. 6 (1966).

  2. E. F. Afanas'ev and G. P. Cherepanov, “A self-similar problem in the dynamic theory of elasticity for a half-plane,” in: Advances in the Mechanics of Deformable Media [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  3. K. B. Broberg, “The propagation of a brittle crack,” Ark. Fys.,18, No. 2 (1960).

  4. B. V. Kostrov, “The axisymmetric problem of the propagation of a crack consisting of a normal cut,” Prikl. Mat. Mekh.,28, No. 4 (1964).

  5. B. V. Kostrov, “Self-similar problems of the propagation of cracks consisting of a tangential cut,” Prikl. Mat. Mekh.,28, No. 5 (1964).

  6. E. F. Afanas'ev, “Homogeneous solutions of the dynamic theory of elasticity,” in: The Mechanics of a Continuous Medium and Related Problems of Analysis (on the occasion of the Eightieth birthday of Academician N. I. Muskhelishvili) [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  7. E. F. Afanas'ev and G. P. Cherepanov, “Dynamic problems in the theory of elasticity,” Prikl. Mat. Mekh.,37, No. 4 (1973).

  8. G. P. Cherepanov and E. F. Afanas'ev, “Some dynamic problems of the theory of elasticity,” Int. J. Eng. Sci.,12, (1974).

  9. P. A. Martynyuk and E. N. Sher, “Some self-similar problems of the development of starshaped cracks under the conditions of antiplane deformation,” Zh. Prikl. Mekh. Tekh. Fiz., No. 5 (1976).

  10. S. L. Sobolev, “Questions in the theory of the propagation of vibrations,” in: The Differential and Integral Equations of Mathematical Physics [in Russian], ONTI, Leningrad Moscow (1957).

    Google Scholar 

  11. E. N. Sher, “The self-similar development of an isolated crack, using the example of antiplane deformation,” in: Questions of the Mechanism of the Breakdown of Rocks [in Russian], Izd. Inst. Gornogo Dela Sib. Otd. Akad. Nauk SSSR, Novosibirsk (1976).

    Google Scholar 

  12. V. I. Krylov, The Approximate Calculation of Integrals [in Russian], Fizmatgiz, Moscow (1959).

    Google Scholar 

  13. Mathematical Analysis. The Calculation of Elementary Functions [in Russian], Fizmatgiz, Moscow (1963)

Download references

Author information

Authors and Affiliations

  1. Novosibirsk

    E. N. Sher

Authors
  1. E. N. Sher
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 166–177, July–August, 1977.

The author expresses his thanks to É. B. Polyak for his aid in the computer calculations.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sher, E.N. Dynamics of a rectilinear isolated crack growing at a constant rate under conditions of antiplane deformation. J Appl Mech Tech Phys 18, 573–583 (1977). https://doi.org/10.1007/BF00851404

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00851404

Keywords

Search

Navigation