13th International Conference on Fracture June 16–21, 2013, Beijing, China -1- Modeling of Inclined Crack Growth under Creep Conditions Vladimir I. Astafiev 1 , Alexey N. Krutov2 1 Samara State Aerospace University, Samara 443086, Russia 2 Samara State University, Samara 443011, Russia * Corresponding author: vlast@ssu.samara.ru Abstract The modeling of subcritical growth of inclined crack under creep condition is considered. In the first part of this paper the stress state near the tip of inclined crack for power creep law in the cases of plane stress and plane strain is calculated. To calculate the stress state near the tip of an inclined crack the Airy’s stress function is used. The resulting nonlinear fourth order differential equation is formulated as two-point boundary value problem and is solved by shooting and Newton's methods. The modeling of creep crack growth is based on Rabotnov-Kachanov damage theory and the criterion of crack growth ω=1 at the distance d from the crack tip, calculated for equivalent or maximum stress. The crack growth rate and the crack trajectory are calculated both for plane stress and plane strain and for n = 1, 3, 5, 7 and considered in the second part of this paper. Keywords inclined crack, creep, stress distribution. 1. Introduction Let us consider an infinite plate of a nonlinear elastic-creep material with a crack of the length 2a, located at the angle α to the axis x and loaded by the stress along the axis y (Figure 1). It is required to determine the stress state near the tip of inclined crack for the plane stress and the plane strain conditions. It should be noted that the problem of uniaxial tension of inclined crack is statically equivalent to the mixed tensile and shear loading by the stresses 2 cos and cos sin , respectively (Fig. 1). Figure 1. The geometry of the inclined crack.
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