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Journal of Mining Science

, Volume 46, Issue 1, pp 1–12 | Cite as

Antiplane strain under post-critical deformation in the problem on equilibrium semi-infinite crack. Part II

  • A. I. Chanyshev
Geomechanics
  • 27 Downloads

Abstract

The paper analyzes some of the known solutions of the problem about loading a massive body with an antiplane half-infinite crack under post-critical deformation and describes new particular solutions. Four boundary conditions are formulated for the interface of the elastic and post-critical deformation regions, which express continuity of two stresses and two strains. When these and other conditions are fulfilled, the solution of the problem with an infinite drop modulus behaves unusual: maximum shear stress in the vicinity of the crack tip grows infinitely rather than drops. The paper interprets the phenomenon.

Keywords

Crack anti-plane strain post-critical deformation elastic-plastic problem consistency conditions interpretation 

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References

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    A. I. Chanyshev, “Anti-plain strain under post-critical deformation in the problem on equilibrium semi-infinite crack. Part I,” Journal of Mining Science, No. 4 (2009).Google Scholar
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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  1. 1.Institute of Mining, Siberian BranchRussian Academy of SciencesNovosibirskRussia

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