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IssuesArchive of Issues2001-5pp.101-108

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V. I. Astaf'ev and A. N. Krutov, "Stress distribution near the tip of an inclined crack in the nonlinear fracture mechanics," Mech. Solids. 36 (5), 101-108 (2001)
Year 2001 Volume 36 Number 5 Pages 101-108
Title Stress distribution near the tip of an inclined crack in the nonlinear fracture mechanics
Author(s) V. I. Astaf'ev (Samara)
A. N. Krutov (Samara)
Abstract The stress state near the tip of an inclined crack is determined within the framework of the nonlinear fracture mechanics. The constitutive relations are specified in the form of a power-law function. A two-point boundary value problem is stated by using the compatibility equation in terms of stresses, into which the Airy function is substituted. This problem is solved by the shooting method. The solution is presented for the cases of the plane stress state (PSS) and plane strain (PS).
References
1.  Yu. N. Rabotnov, Mechanics of Solids [in Russian], Nauka, Moscow, 1979.
2.  G. Pluvinage, Mechanics of Elastoplastic Fracture [Russian translation], Mir, Moscow, 1993.
3.  G. P. Cherepanov, Mechanics of Brittle Fracture [in Russian], Nauka, Moscow, 1974.
4.  J. W. Hutchinson, "Singular behavior at the end of tensile crack in a hardening material," J. Mech. Phys. Solids, Vol. 16, No. 1, pp. 13-31, 1968.
5.  J. R. Rice and G. F. Rosengren, "Plane strain deformation near a crack tip in a power-law hardening material," J. Mech. Phys. Solids, Vol. 16, No. 1, pp. 1-12, 1968.
6.  Wen-Xin Wang and Tian-You Fan, "Analytic solution of mode-I crack in materials with nonlinear behavior," Phil. Mag. Lett., Vol. 69, No. 4, pp. 215-222, 1994.
7.  N. S. Bakhvalov, N. P. Zhidkov, and G. M. Kobel'kov, Numerical Methods [in Russian], Nauka, Moscow, 1987.
8.  K. Hellan, Introduction to Fracture Mechanics [Russian translation], Mir, Moscow, 1988.
Received 04 May 2000
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