13th International Conference on Fracture June 16–21, 2013, Beijing, China -9- of the cantilever beam. The distribution line load in negative X, Y and Z directions with the same density of 1e5N/m are applied at the top of free end as shown in Figure 6. In the Model I and Model II, there are 7 nodes at the top of free end denoted by P1 to P7. The displacements at these nodes for the two models are listed in Table 2. It can be seen from this table that the displacements of selected points for both models agree well with each other. Contact surface 3m 2m 6m Fixed end qz=-1e5N/m qy=-1e5N/m X Y Z qx=-1e5N/m 1/3m Figure 5 Cantilever beam with the planar crack surface (a) Model I (b) Model II Figure 6 Two finite element discretizations for the cantilever beam Table 2 Displacements of nodes at the top of free end (Unit: cm) Points Direction\Model P1 P2 P3 P4 P5 P6 P7 Model I -1.782853 -1.764749 -1.750595 -1.744385 -1.743544 -1.746958 -1.745677 X Model II -1.782816 -1.764712 -1.750557 -1.744346 -1.743506 -1.746919 -1.745638 Error 2.1e-5 2.1e-5 2.17e-5 2.24e-5 2.18e-5 2.23e-5 2.23e-5 Model I -0.2448591 -0.0981012 0.0265221 0.1475015 0.26804830.39104840.5294690 Y Model II -0.2450343 -0.0982756 0.0263494 0.1473310 0.26788000.39088190.5293037 Error 7.16e-4 1.78e-3 6.51e-3 1.16e-3 6.28e-4 4.26e-7 3.12e-4 Model I -1.517652 -1.460974 -1.424242 -1.389137 -1.354119 -1.318229 -1.269198 Z Model II -1.516629 -1.459982 -1.423281 -1.388208 -1.353223 -1.317365 -1.268366 Error 6.74e-4 6.78e-4 6.75e-4 6.69e-4 6.62e-4 6.55e-4 6.56e-4 Contact surface P1 P7 Contact surface P1 P7
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