Figure 3

Relationship between the total force and the fissure angle, width and x-coordinate of the center of the sphere. (a) Relationship between the total force and the fissure angle and x-coordinate of the center of the sphere. (b) Relationship between the total force and the fissure width/x-coordinate of the center of the sphere. The white area in the upper right corner in (a) is sinθ > R/x. The red line in (a,b) is the maximum points of F when x is constant and θ can change. The green line in Figure a is θ from 0 to θ2. The magenta line in (a) is θ from θ2 to θ1. The white area in the upper left corner in (b) is sinθ > R/x. The red line in (b) is the maximum points of F when x is constant and h can change. The green line in (b) is h2 from 0 to 2 R(9x2 − R2)0.5/(9x). The magenta line in (b) is h1 from 2 R(9x2 − R2)0.5/(9x) to 2 R(x2 − R2)0.5/x. The unit of F is N, k′s unit is N/mm3, x’s unit is mm, and θ’s unit is rad, and R = 0.2 mm in (a,b).