Granular materials have been widely used in the field of geotechnical engineering. Being one of the intrinsic properties of granular materials, the internal grain porosity greatly affects their mechanical properties, grain crushing in particular. In this article, the single porous grains with different degrees of disordered pore distribution were generated and fully investigated with discrete element method (DEM). The degree of disorder of pore distribution is characterized by parameter I_v. The DEM results demonstrate that both number of pore and the disorder of pore distribution have great effects on crushing strength. A more disordered pore distribution could lead to higher stress concentration and the heterogeneity of stress distribution, which results in a lower crushing strength. The shape of remaining fragments after grain crushing shows that the cracking path becomes more irregular with increasing disorder of pore distribution. For the three studied porosity, the crushing strength complies with an exponential-law diminution with the increase in disorder degree of pore distribution. The grain crushing strength was also statistically analysed by Weibull distribution. Similar to crushing strength, the Weibull modulus, m, of grain crushing strength follows an exponential law, in other words, m decreases with the disorder degree of porous texture. These results deepen our understanding of the effect of pore disorder over crushing behaviour of granular matter.

粒状材料已被广泛用于岩土工程领域。作为颗粒材料的固有特性之一，内部的颗粒孔隙度极大地影响了它们的机械性能，特别是颗粒破碎。在本文中，生成了具有不同程度无序孔分布的单孔晶粒，并使用离散元方法（DEM）进行了充分研究。孔分布的无序度由参数I _v表征。DEM结果表明，孔的数量和孔分布的无序性都对抗碎强度有很大的影响。更加无序的孔分布可能导致较高的应力集中和应力分布的不均匀性，从而导致较低的抗压强度。晶粒破碎后残留碎片的形状表明，随着孔分布的增加，裂纹路径变得更加不规则。对于三种研究的孔隙度，随着孔隙分布无序度的增加，抗压强度符合指数规律的减小。晶粒破碎强度也通过威布尔分布进行统计分析。类似于抗压强度，威布尔模量，m的抗压强度的μm遵循指数规律，换言之，m随着多孔质感的无序度而减小。这些结果加深了我们对孔隙紊乱对颗粒物破碎行为影响的理解。