Skip to main content
SpringerLink
Log in

Deformation stability of solids with cracks or inclusions

  • Published:
Strength of Materials Aims and scope

Abstract

The method of calculating the limiting state of solids built on known elasticity relations is proposed to describe stable and unstable deformation of the defect-containing material. The basis for the method is evaluating the rigidity distribution over the body volume. The limiting state of the body is associated with the total negative rigidity of the body and loading system. An increase in damaged area sizes that are much smaller than component sizes is shown to result in stability and carrying capacity losses of the whole component at a certain rigidity of this area. Rigidity calculations for the bodies in the form of a sphere, cylinder or plate with inclusions as well as a crack-containing plate are cited.

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. N. G. Chausov, A. A. Lebedev, L. V. Zaitseva, and A. V. Getmanchuk, “Effect of a stress state on the damage accumulation kinetics and crack resistance of 15Kh2MFA hull plate steel in different states, Pt 1. Stages of KP60 steel fracture,” Probl. Prochn., No. 4, 3–9 (1993).

    Google Scholar 

  2. A. N. Dynnik, Stability of Elastic Systems [in Russian], AN SSSR Publishers, Moscow, Leningrad (1950).

    Google Scholar 

  3. A. N. Guz’, M. Sh. Dyshel’, and V. M. Nazarenko, Fracture and Stability of Crack-Containing Materials, Vol. 4, Book 1, in: A. N. Guz’ (Ed.), Nonclassical Problems of Fracture Mechanics [in Russian], in 4 vol., Naukova Dumka, Kiev (1992).

  4. R. Haase, Thermodynamik der irreversiblen Prozesse, Dietrich Steinkopff Verlag, Darmstadt (1963).

    Google Scholar 

  5. G. N. Tret’yachenko and B. S. Karpinos, Strength and Life of Materials under Cyclic Thermal Effects [in Russian], Naukova Dumka, Kiev (1990).

    Google Scholar 

  6. V. G. Barilo, “Stability of material deformation,” Probl. Prochn., No. 3, 74–81 (1994).

  7. A. N. Guz’, Fundamentals of the Three-Dimensional Theory of Deformable Body Stability [in Russian], Vyshcha Shkola, Kiev (1986).

    Google Scholar 

  8. V. T. Troshchenko, A. Ya. Krasovskii, V. V. Pokrovskii, et al., Deformation and Fracture Resistance of Materials. Reference Book [in Russian], Vol. 1, Naukova Dumka, Kiev (1993).

    Google Scholar 

  9. S. D. Volkov, “Problems of strength and fracture mechanics,” Probl. Prochn., No. 7, 3–10 (1978).

  10. A. D. Kovalenko, Thermoelasticity [in Russian], Vyshcha Shkola, Kiev (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Pisarenko Institute of Problems of Strength, National Academy of Sciences of Ukraine, Kiev, Ukraine

    V. G. Barilo

Authors
  1. V. G. Barilo
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Problemy Prochnosti, No. 1, pp. 118–135, January–February, 2005.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Barilo, V.G. Deformation stability of solids with cracks or inclusions. Strength Mater 37, 86–98 (2005). https://doi.org/10.1007/s11223-005-0020-3

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11223-005-0020-3

Keywords

Search

Navigation