Antiplane strain under post-critical deformation in the problem on equilibrium semi-infinite crack. Part II
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.
KeywordsCrack anti-plane strain post-critical deformation elastic-plastic problem consistency conditions interpretation
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- 1.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
- 2.J. R. Rice, “Mathematical analysis in the mechanics of fracture,” in: Fracture, Liebowitz (Ed.), 2, Academic Press (1968).Google Scholar
- 3.V. S. Nikiforovsky and E. I. Shemyakin, Dynamic Failure of Solids [in Russian], Nauka, Novosibirsk (1979).Google Scholar
- 4.E. I. Shemyakin, “Problem about “brittle hinge joint”, Mekh. Tverd. Tela, No. 2 (1996).Google Scholar
- 5.Yu. N. Rabotnov, The Deformable Solid Mechanics [in Russian], Nauka, Moscow (1972).Google Scholar
- 6.G. P. Cherepanov, The Brittle Fracture Mechanics [in Russian], Nauka, Moscow (1974).Google Scholar