13th International Conference on Fracture June 16–21, 2013, Beijing, China -9- excellent agreement is observed between the analytical and FEM results. Note that G G I / in Table 1 is a percentage. Table 1. Comparison between present 2D elasticity partition theory and FEM results. Analytical (×106 N/m) FEM (×106 N/m) γ er k 0.1 0.5 1 5 10 0.1 0.5 1 5 10 1 IG 3.000 3.000 3.000 3.000 3.000 3.029 3.029 3.028 3.024 3.022 G G I / 57.14 57.14 57.14 57.14 57.14 57.66 57.60 57.79 58.59 59.22 3 IG 45.30 43.75 42.99 42.18 40.17 45.12 44.09 43.48 41.47 40.29 G G I / 95.87 92.59 90.98 89.26 85.01 94.72 92.71 91.56 87.96 85.97 5 IG 159.7 154.9 152.0 148.6 139.7 159.0 156.4 154.7 148.6 144.7 G G I / 99.05 96.06 94.24 92.16 86.61 97.80 96.39 95.50 92.44 90.59 7 IG 381.9 371.5 364.3 355.8 332.0 380.7 375.4 371.8 358.2 349.1 G G I / 99.65 96.94 95.06 92.83 86.63 98.59 97.46 96.72 94.07 92.40 9 IG 748.0 728.9 714.5 697.0 647.6 746.3 736.6 729.8 703.7 686.0 G G I / 99.83 97.29 95.36 93.03 86.43 98.92 97.95 97.30 94.92 93.39 One example of experimental assessments is also presented here. Since the specimens in the tests were manufactured without adhesive layers [4] the laminar interfaces are considered to be rigid. Five partition theories, i.e. Williams theory [1], Suo-Hutchinson theory [3], Wang-Harvey classical, shear deformable and 2D theories, are assessed in Fig. 3. Although the Suo-Hutchinson and Wang-Harvey 2D partition theories are considered to be most accurate, the Wang-Harvey classical theory agrees the best with experimental data. It is suggested that the propagation of mixed-mode delamination on rigid interfaces is governed by the global partition as the global partitions of shear deformable and 2D partition theories are the same as the classical partitions. Figure 3. A comparison of various partition theories and the linear failure locus for epoxy-matrix/carbon-fiber composite specimens.
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