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. 2026 Mar 20;19(6):1236. doi: 10.3390/ma19061236
KIC, KIIC Mode I and mode II fracture toughness
ρr, Er,νr Density, elastic modulus, and Poisson’s ratio of rock
ρs, Es, νs Density, elastic modulus, and Poisson’s ratio of steel
a, W, B Notch depth, side length, and thickness of specimen
β Loading angle of specimen
2a/W Initial notch length ratio
Pn, Ps, Pc Normal force, tangential force, and peak load
θ Angle of potential fracture plane
u1, v1 Normal displacement perpendicular and tangential displacement parallel to fracture
εxy, εyy, εxx Strain components in cartesian coordinate system
KI, KII Mode I and mode II stress intensity factor on the original crack plane
YI, YII Mode I and mode II dimensionless shape factor
σr, σθ, τrθ Stress components in polar coordinate system around crack tip
KIθ, KIIθ Mode I and mode II stress intensity factors on θ plane
kα Loading ratio, KI/KII
σxx, σyy, τxy Stress components in cartesian coordinate system
σn Normal stress on θ plane
c Shear strength when the compressive stress is zero
f Friction coefficient
ϕ Fracture angle under uniaxial compression
KIICθ Fracture toughness considering the effect of normal compressive stress
θMC Initiation angle of compressive-shear fracture
Qe Equivalent shear load
Qe Modified equivalent shear load