13th International Conference on Fracture June 16–21, 2013, Beijing, China -5- √m, modulus of elasticity E=10 GPa, Poisson’s ratio = 0.2 are assumed. The analytical solution of mode I and mode II stress intensity factors, KI and KII, for the infinite body problem are given as [27]: ( ) sin cos ( ) sin 2 1 2 2 1 b and K b K II I (6) Figure 4. A center inclined micro crack in a semi- infinite body. The semi-infinite center inclined micro crack problem is selected to verify the proposed code (see Fig. 4). Fig.5 is based on the normalized stress intensity factors which compare the different results obtained for the upper cracks (the cracks near to the free surface of the half plane), and the lower cracks, with the available analytical results of the center inclined micro crack in an half plane. The numerical results show that as the depth of the micro crack (C/R ratio) increases the mixed mode stress intensity factors KI and KII, and the crack initiation angle 0 tend to their corresponding analytical values of the center inclined micro crack in an infinite plane. 2b 0 y σx=σ x C x
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