“…External forces lead to the breakage of bonds between particles, with the resulting ruptures reflecting key mechanical properties, such as model strength (Lu et al,
1997). When the normal limit stress and tangential ultimate stress surpass predefined thresholds (Zhang, Wang, et al,
2023), the fracture behavior of bonded bonds can be characterized as follows:
where
is the normal limit stress (MPa);
is the tangential limit stress (MPa);
is the normal force on the bonding bond of the particles (N);
is the tangential moment applied to the bonding bond of the particles (N m);
is the Normal moment applied to the bonding bond of the particles (N m);
is the contact area (mm 2 );
is the bonded spherical spatial moments of inertia (m 4 ); and
is the bonding radius (mm).…”