Skip to main content
Log in

Conditions for the existence of discontinuity surfaces of irreversible strains in elastoplastic media

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

Abstract

Constraints are obtained on the stresses of a plastically compressed elastoplastic medium at which the occurrence of discontinuities of irreversible strains is possible. The loading surfaces are taken to be piecewise linear closed surfaces. Velocities of motion of irreversible-strain discontinuity surfaces are calculated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. H. A. Rakhmatulin and Yu. A. Dem’yanov, Strength under Short-Term High Loads [in Russian], Fizmatgiz, Moscow (1961).

    Google Scholar 

  2. J. Mandel, “Plastic waves in an unbounded three-dimensional medium,” in: Mechanics (collected scientific papers) [Russian translation], No. 5, 119–141 (1963).

  3. A. D. Chernyshev and A. E. Limarev, “On shock-wave propagation in a hardening elastoplastic medium,” Prikl. Mat. Mekh., 35, No. 6, 1083–1088 (1971).

    Google Scholar 

  4. G. I. Bykovtsev and L. D. Kretova, “Shock-wave propagation in elastoplastic media,” Prikl. Mat. Mekh., 36, No. 1, 106–116 (1972).

    Google Scholar 

  5. B. A. Druyanov, “Strong discontinuities in compressible plastic media,” in: Rheological Models and Deformation Processes of Porous, Powder, and Composite Materials [in Russian], Naukova Dumka, Kiev (1985), pp. 23–33.

    Google Scholar 

  6. V. N. Kukudzhanov, “Nonlinear waves in elastoplastic media,” in: Wave Dynamics of Machines [in Russian], Institute of Machine Science, USSR Academy of Sciences, Moscow (1991), pp. 126–140.

    Google Scholar 

  7. V. M. Sadovskii, “Toward a theory of the propagation of elastoplastic waves in strain-hardening media,” J. Appl. Mech. Tech. Phys., 35, No. 5, 798–804 (1994).

    Article  ADS  MathSciNet  Google Scholar 

  8. A. A. Burenin, G. I. Bykovtsev, and V. A. Rychkov, “Velocity discontinuity surface in the dynamics of irreversibly compressible media,” in: Problems of Continuum Mechanics (collected papers dedicated to the 60 anniversary of Academician V. P. Myasnikov) [in Russian], Institute of Automation and Control Processes, Far East Division, Russian Academy of Science (1996), pp. 106–127.

  9. D. D. Ivlev and T. N. Martynova, “On theory of compressible ideally plastic,” Prikl. Mat. Mekh., 27, No. 3, 589–592 (1963).

    MathSciNet  Google Scholar 

  10. S. S. Grigoryan, “On the main concepts of soil dynamics,” Prikl. Mat. Mekh., 24, No. 6, 1052–1072 (1960).

    MathSciNet  Google Scholar 

  11. A. Yu. Ishlinskii, “Hypothesis of distortion strength,” Uch. Zap. Mosk. Gos. Univ., No. 46, 104–114 (1940).

  12. D. D. Ivlev, Theory of Ideal Plasticity [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  13. G. I. Bykovtsev and D. D. Ivlev, Plasticity Theory [in Russian], Dal’nauka, Vladivostok (1998).

    Google Scholar 

  14. V. M. Sadovskii, Discontinuous Solutions in Problems of the Dynamics of Elastoplastic Media [in Russian], Fizmatlit, Moscow (1997).

    Google Scholar 

  15. G. I. Bykovtsev and V. A. Rychkov, “Constitutive equations of plastically compressible media,” in: Applied Problems of Mechanics of Deformable Media [in Russian], Izd. DVO AN SSSR, Vladivostok (1991), pp. 49–56.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. A. Burenin.

Additional information

__________

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 5, pp. 176–185, September–October, 2009.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Burenin, A.A., Dudko, O.V. & Semenov, K.T. Conditions for the existence of discontinuity surfaces of irreversible strains in elastoplastic media. J Appl Mech Tech Phy 50, 878–885 (2009). https://doi.org/10.1007/s10808-009-0119-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10808-009-0119-6

Key words

Navigation