13th International Conference on Fracture June 16–21, 2013, Beijing, China -7- 0.0 0.2 0.4 0.6 0.8 1.0 0.0 0.2 0.4 0.6 0.8 1.0 1.2 u B,σ=uA,σ ⋅(f B,σ/fA,σ )⋅M weight function method b 2/a=1 (u⋅ Ε')/(σ⋅r) d/a=0.9 d/a=0.5 d/a=0.1 d/a=0.01 x/a a/r=0.5 (c) 0.0 0.2 0.4 0.6 0.8 1.0 0.0 0.5 1.0 1.5 2.0 2.5 uB,σ=uA,σ ⋅(f B,σ/fA,σ )⋅M weight function method b 2/a=1 (u⋅ Ε')/(σ⋅r) d/a=0.9 d/a=0.5 d/a=0.1 d/a=0.01 x/a a/r=1 (d) Figure.3 Non-dimensional crack surface displacements for a radial crack emanating from a semi-circular notch in a semi-infinite plate subjected to Dugdale loading in the immediate wake of crack tip, with (a) a/r=0.05. (b) a/r=0.1. (c) a/r=0.5. (d) a/r=1.0. 4. Analytical crack surface displacement equations for a radial crack emanating from a semi-circular notch in a semi-infinite plate It has been a common practice in the literature that the crack surface displacements for one case (B) can be estimated from available crack surface displacements for a similar known case (A), by multiplying a correction factor. Recently, Tong and Wu proposed a general expression for an edge crack in a semi-infinite plate and double radial cracks at a circular hole with good success [12,13]. The correction is composed of two parts: the ratio of stress intensity factors for the two cases, fB /fA and a fitted correction factor M, as the following:
RkJQdWJsaXNoZXIy MjM0NDE=