13th International Conference on Fracture June 16–21, 2013, Beijing, China -4- 2l ( )t A B b1. Heaviside step loading 0P 1t t P b 2. blast loading a) b) 0P 1t t 1 2t P d e Y X 2h 2w Fig.3 The validation problem: a) Cracked plate with inclusion, b) Different types of loadings. ( ) t s )a 0 1 2 3 4 5 6 7 -0.4 -0.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 k1 paper k2 paper k1 Phan et al. k2 Pane et al. )b ( ) t s 0 1 2 3 4 5 6 7 -0.4 -0.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 k1 paper k2 paper k1 Phan et al. k2 Phan et al. )c ( ) t s 0 1 2 3 4 5 6 7 -0.4 -0.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 k1 paper k2 paper k1 Phan et al. k2 Phan et al. Fig.4 The plate under Heaviside step loading with different positions of the inclusion; (a) e= 3d/4 (b) e= d/2, (c) e= d/4. ( ) t s )a 0123456789 -1.2 -0.8 -0.4 0.0 0.4 0.8 1.2 1.6 2.0 k1 paper k2 paper k1 Phan et al. k2 Phan et al. ( ) t s )b 0123456789 -1.2 -0.8 -0.4 0.0 0.4 0.8 1.2 1.6 2.0 k1 paper k2 paper k1 Phan et al. k2 Phan et al. ( ) t s )c 0123456789 -1.2 -0.8 -0.4 0.0 0.4 0.8 1.2 1.6 2.0 k1 paper k2 paper k1 Phan et al. k2 Phan et al. Fig.5 The plate under triangular blast loading with different positions of the inclusion; (a) e= 3d/4 (b) e= d/2, (c) e= d/4. Figures 4 and 5 can be shown, there is an acceptable correlation between the obtained results and those of Phan et al. [4] using SGBEM, for different positions of the inclusion as well as for KI and KII. We can note here that for DSIF KII, our results are closer to the exact solution (zero) compared to those obtained by Phan et al.[4]. Compared to the Heaviside step loading, the triangular blast loading increases more the negative value of KI and decreases more the positive peaks. This shows that the Heaviside step loading is
RkJQdWJsaXNoZXIy MjM0NDE=