13th International Conference on Fracture June 16–21, 2013, Beijing, China -6- Eൌ1ൈ10and the Poisson’s ratio νൌ0.3. The SIF of node A and B are calculated by both of the linear basis function and the enriched basis function with virtual crack closure technique. A meshless model is constructed as shown in Fig.5. The influence of crack geometry on the SIFs is also investigated by varying W/a (e.g.0.1W, 0.3W, 0.5W, 0.7W). The normalized stress intensity factors at tips A and B are defined as a F K A I A I , F K a B I B I , a F K B II B II . The comparison between the calculation results and the reference solutions available [13] are demonstrated in Table 1. From this table, the excellent agreement of the computed SIF results and the reference solutions can be easily seen. Table 1. Normalized SIFs comparison for a star-shaped crack a/W θ * MSIM(linear basis) RE(%) MSIM(enriched basis) RE(%) 0.1 A IF 0.751 0.736 -1.998 0.754 -0.533 B IF 0.769 0.758 -1.430 0.766 -0.391 B II F 0.000 0.000 0.000 0.000 0.000 0.3 A IF 0.793 0.778 -2.031 0.789 -0.504 B IF 0.798 0.786 -1.253 0.795 -0.376 B II F 0.002 0.002 0.000 0.002 0.000 0.5 A IF 0.886 0.868 -1.891 0.883 -0.456 B IF 0.926 0.912 -1.511 0.922 -0.432 B II F 0.018 0.0176 -2.122 0.018 0.000 0.7 A IF 1.097 1.084 -1.485 1.102 0.339 B IF 1.237 1.218 -1.536 1.233 -0.323 B II F 0.059 0.058 -1.724 0.0586 -0.678 *Daux et al. (2000) Figure 4. A star-shaped crack in a square plate under bi-axial tension
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