Discrete element simulations are performed to better understand the breakage of marble spheres upon oblique impact. The influence of the contact friction coefficient and impact angle on the impact-induced breakage is considered. A modelling method for oblique impact is proposed. Detailed parameter calibration and verification of the modelling method were performed. The oblique simulations show that the laboratory breakage behaviour of marble spheres upon normal and oblique impact is well matched through the proposed modelling method. Tensile and shear breakage patterns are observed in laboratory tests and simulations and are significantly influenced by the contact friction coefficient and impact angle. The shear component of the impact velocity determines the breakage at a low impact angle and high contact friction coefficient, while the normal component dominates the breakage at a high impact angle or low contact friction coefficient. The damage ratio, contact force and fragment characteristics are also analysed. Two constants, i.e., the critical shear contact force and critical normal contact force, are obtained. Finally, a comprehensive breakage criterion for brittle particles under oblique impact is proposed. The breakage patterns of brittle particles can easily be determined through the proposed breakage criterion.

进行离散元素模拟以更好地了解倾斜冲击后大理石球的破裂。考虑了接触摩擦系数和冲击角对冲击引起的断裂的影响。提出了一种斜向冲击的建模方法。进行了详细的参数校准和建模方法的验证。倾斜模拟表明，通过所提出的建模方法，大理石球在正常和倾斜冲击下的实验室破损行为都得到了很好的匹配。在实验室测试和模拟中观察到拉伸和剪切断裂模式，并且接触摩擦系数和冲击角对拉伸和剪切断裂模式有显着影响。冲击速度的剪切分量决定了在低冲击角和高接触摩擦系数下的破损，而正常成分在高冲击角或低接触摩擦系数下占主导地位。还分析了损伤率，接触力和碎片特性。获得两个常数，即临界剪切接触力和临界法向接触力。最后，提出了斜冲击下脆性颗粒的综合破损判据。脆性颗粒的破损模式可以通过建议的破损标准轻松确定。提出了斜冲击下脆性颗粒的综合破损判据。脆性颗粒的破损模式可以通过建议的破损标准轻松确定。提出了斜冲击下脆性颗粒的综合破损判据。脆性颗粒的破损模式可以通过建议的破损标准轻松确定。