Skip to main content
Log in

Shear strain effects on the theoretical strength of an atomic lattice

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

Abstract

A four-atomic unit cell corresponding to a close-packed layer of atoms is considered. It is shown that with occurrence of a shear the system prematurely loses stability. It is concluded that in Novozhilov-type integral criteria for brittle strength, it is reasonable to take into account shear strains.

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. A. V. Andreev, V. M. Korneev, and Yu. V. Tikhomirov, “Termination of atomic bonds at the tip of a crack. Loss of stability of an atomic-chain region,”Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela, No. 5, 135–146 (1993).

    Google Scholar 

  2. J. W. Hutchinson and V. Twergaard, “Shear band formation in plane strain,”Int. J. Solids Struct.,17, No. 5, 451–470 (1981).

    Article  MATH  Google Scholar 

  3. J. M. T. Thompson,Instabilities and Catastrophes in Science and Engineering, Wiley-Interscience, New York (1982).

    MATH  Google Scholar 

  4. N. H. Macmillan and A Kelly, “The mechanical properties of perfect crystals,”Proc. Roy. Soc. London, Ser. A,330, No. 1582, 291–308 (1972).

    Article  ADS  Google Scholar 

  5. J. M. T. Thompson and P. A. Shorrock, “Bifurcational instability of an atomic lattice,”J. Mech. Phys. Solids,23, No. 1 21–37 (1975).

    Article  MATH  Google Scholar 

  6. P. Cotterill and M. Doyama, “Energy and atomic configuration of perfect and extended dislocations,” in:Vital Problems of Theory of Dislocations (collected scientific papers) [Russian translations], Mir, Moscow (1968), pp. 135–168.

    Google Scholar 

  7. J. W. Christian,The Transformations in Metals and Alloys, Part I:Thermodynamics and General Kinetic Theory, Pergamon Press, Oxford (1975).

    Google Scholar 

  8. M. W. Finnis and J. E. Sinclair, “A simple empiricalN-body potential for transition metals,”Philos. Mag. A.,50, No. 1, 45–55 (1984).

    ADS  Google Scholar 

  9. V. M. Korneev and Yu. V. Tikhomirov, “Loss of stability of an atomic-chain region in the presence of impurity. Strength reduction of cracked brittle solids,”Prikl. Mekh. Tekh. Fiz.,37, No. 3, 160–173 (1996).

    Google Scholar 

Download references

Authors

Additional information

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 4, pp. 208–213, July–August, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Astapov, N.S., Kornev, V.M. Shear strain effects on the theoretical strength of an atomic lattice. J Appl Mech Tech Phys 40, 739–743 (1999). https://doi.org/10.1007/BF02468452

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02468452

Keywords

Navigation