13th International Conference on Fracture June 16–21, 2013, Beijing, China -6- 0.125mm 0.075mm mm 0.0mm these four kinds of disturbance as boundary condition on top surface, ud4 leads to weaker effect for far field stress and larger analysis model; see Fig. 5 (a-d). Table 2. Four kinds of disturbance added to the displacement boundary condition of the nodes on top surface Case No. Formulation of disturbance (mm) 1 1 12.25 0.05 sin , 12.25 4.25. 8 d y u y 2 2 12.25 0.05 sin 2 , 12.25 12.25. 12.25 d y u y 3 3 12.25 0.05 sin 4 , 12.25 12.25. 12.25 d y u y 4 4 0.05 ( 1,1). du random (a) Case 0 (reference) (b) Case 1 (c) Case 2 (d) Case 3 (e) Case 4 Figure 4. Initial displacement boundary condition with disturbances on the top surface (0.075+ ud1~ud4) mm (a.1) ud1: 40mm (a.2) ud1: 160mm (b.1) ud2: 40mm (b.2) ud2: 160mm (c.1) ud3: 40mm (c.2) ud3: 160mm (d.1) ud4: 40mm (d.2) ud4: 160mm Figure 5. The tensile principle stress distribution under four kinds of disturbance (ud1~ud4) with different model sizes (left 40mm height, right 160mm height)
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