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.
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References
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).
J. R. Rice, “Mathematical analysis in the mechanics of fracture,” in: Fracture, Liebowitz (Ed.), 2, Academic Press (1968).
V. S. Nikiforovsky and E. I. Shemyakin, Dynamic Failure of Solids [in Russian], Nauka, Novosibirsk (1979).
E. I. Shemyakin, “Problem about “brittle hinge joint”, Mekh. Tverd. Tela, No. 2 (1996).
Yu. N. Rabotnov, The Deformable Solid Mechanics [in Russian], Nauka, Moscow (1972).
G. P. Cherepanov, The Brittle Fracture Mechanics [in Russian], Nauka, Moscow (1974).
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Translated from Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, No. 1, pp. 3–15, January–February, 2010.
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Chanyshev, A.I. Antiplane strain under post-critical deformation in the problem on equilibrium semi-infinite crack. Part II. J Min Sci 46, 1–12 (2010). https://doi.org/10.1007/s10913-010-0001-1
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DOI: https://doi.org/10.1007/s10913-010-0001-1