Abstract It is well known that the volumetric block proportion (VBP), to a large extent, dominates the mechanical properties of the soil-rock mixture (S-RM). In this study, random convex polyhedrons were applied for simulating rock blocks. Random structural models of S-RMs were generated based on the statistical regularities of volumetric proportion, size, shape, and spatial distributions of rock blocks. Then numerical simulation of triaxial compression tests was conducted sufficiently for studying the influence of VBP on the mechanical properties of virtual S-RM. Results indicate that the VBP indeed poses a major influence on the S-RM's mechanical properties. A high VBP will always lead to a more significant improvement in the strength and deformation parameters. There is an approximate quadratic polynomial relationship between uniaxial compression strength (UCS), elastic modulus, and VBP, while a linear piecewise relationship between internal friction angle, cohesion and VBP. The formulas for the mechanical parameters of S-RM regarding VBP are finally summarized and discussed in detail.

中文翻译：

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体积块配比对虚拟土石混合体力学性能的影响

摘要 众所周知，体积块比（VBP）在很大程度上决定着土石混合体（S-RM）的力学性能。在这项研究中，随机凸多面体被应用于模拟岩块。S-RM 的随机结构模型是根据岩块的体积比例、大小、形状和空间分布的统计规律生成的。然后对三轴压缩试验进行了充分的数值模拟，以研究 VBP 对虚拟 S-RM 力学性能的影响。结果表明，VBP 确实对 S-RM 的机械性能产生了重大影响。高 VBP 总是会导致强度和变形参数的更显着改善。单轴压缩强度 (UCS)、弹性模量和 VBP 之间存在近似二次多项式关系，而内摩擦角、内聚力和 VBP 之间存在线性分段关系。最后总结并详细讨论了有关 VBP 的 S-RM 力学参数公式。