13th International Conference on Fracture June 16–21, 2013, Beijing, China -3- crack by altering the corresponding displacement boundary conditions. a c W B a c x z (a) (b) Fig.2 Geometry of a plate with a quarter elliptical crack under uniform tension. (a) The 3D geometry model. (b) Cracks with different a/c and the local rectangular coordinate system. Fig.3 FE model of the quarter elliptic corner crack The comparisons of the three-parameter principle K-T-Tz with the FE results are presented in Fig. 4. 0 45 90 135 0.0 0.5 1.0 1.5 2.0 (a) 11(T-stress neglected) 22 33 f11 f22 f33=v(f11+f22) 11 f33=Tz(f11+f22) f33=Tz(f11+f22) f33=v(f11+f22) (Degree) v=0.1, z/t=0.3912 , r/a=0.011 Klocal=0.4043, Klocal/(2r)1/2=6.823 ij/Klocal/(2r)1/2 0 45 90 135 -0.5 0.0 0.5 1.0 1.5 2.0 f33=Tz(f11+f22) (b) f33=v(f11+f22) (Degree) 11(T-stress neglected) 22 33 f11 f22 f33=v(f11+f22) 11 f33=Tz(f11+f22) a/c=0.2, r/a=0.0104, =9.730 Klocal=0.1992, Klocal/(2 r) 1/2=3.9003 ij/Klocal/(2r)1/2
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