Abstract Particles may break after multiple impacts even during low-velocity collisions. Breakage probability is one of the key factors affecting the particle fragmentation. To investigate the effect of particle size on breakage probability, 44 sets of repeated impact experiments were conducted using a new particle impact device. Marble spheres with different diameters were repeatedly impacted against three different kinds of target plates under different velocities. A total of 22,740 collision experiments were performed to obtain reliable statistical results, and the strength of the marble spheres with different diameters was also tested. The results indicate that there exists a threshold velocity that influences the size effect of the breakage probability. Above the threshold velocity, the breakage probability increases along with the increase in sphere diameter. However, below the threshold velocity, the breakage probability first increases and then decreases with the increase in sphere diameter. This special phenomenon is referred to as the “abnormal size effect”. Subsequently, a two-parameter function was used to describe the relationship between the breakage probability and the number of impacts, and this function fits the experimental results well. The strength of the marble spheres declines as the sphere diameter increases, but the rate of the strength reduction decreases progressively with the increase in sphere diameter. The abnormal size effect can be explained using the sphere strength and the energy dissipation rate.

中文翻译：

---

反复冲击下颗粒破碎概率的异常尺寸效应

摘要 即使在低速碰撞过程中，粒子也可能在多次撞击后破裂。破碎概率是影响颗粒破碎的关键因素之一。为了研究颗粒尺寸对破碎概率的影响，使用新的颗粒撞击装置进行了 44 组重复撞击实验。不同直径的大理石球在不同速度下反复撞击三种不同类型的靶板。共进行了 22,740 次碰撞实验以获得可靠的统计结果，并且还测试了不同直径的大理石球体的强度。结果表明，存在影响破损概率大小效应的阈值速度。超过阈值速度，破碎概率随着球体直径的增加而增加。然而，在阈值速度以下，破碎概率随着球体直径的增加先增加后减小。这种特殊现象被称为“异常尺寸效应”。随后，用一个二参数函数来描述破损概率与冲击次数之间的关系，该函数与实验结果吻合较好。大理石球体的强度随着球体直径的增加而下降，但强度降低的速度随着球体直径的增加而逐渐减小。异常尺寸效应可以用球体强度和能量耗散率来解释。破碎机率随着球体直径的增大先增大后减小。这种特殊现象被称为“异常尺寸效应”。随后，用一个二参数函数来描述破损概率与冲击次数之间的关系，该函数与实验结果吻合较好。大理石球体的强度随着球体直径的增加而下降，但强度降低的速度随着球体直径的增加而逐渐减小。异常尺寸效应可以用球体强度和能量耗散率来解释。破碎机率随着球体直径的增大先增大后减小。这种特殊现象被称为“异常尺寸效应”。随后，用一个二参数函数来描述破损概率与冲击次数之间的关系，该函数与实验结果吻合较好。大理石球体的强度随着球体直径的增加而下降，但强度降低的速度随着球体直径的增加而逐渐减小。异常尺寸效应可以用球体强度和能量耗散率来解释。使用双参数函数来描述破损概率与冲击次数的关系，该函数与实验结果吻合较好。大理石球体的强度随着球体直径的增加而下降，但强度降低的速度随着球体直径的增加而逐渐减小。异常尺寸效应可以用球体强度和能量耗散率来解释。使用双参数函数来描述破损概率与冲击次数的关系，该函数与实验结果吻合较好。大理石球体的强度随着球体直径的增加而下降，但强度降低的速度随着球体直径的增加而逐渐减小。异常尺寸效应可以用球体强度和能量耗散率来解释。