岩土颗粒多层次多分散几何形态的控制生成与离散元模拟 English Version
Generation and discrete element modelling of multilevel-polydisperse shape distributions of geotechnical particles.
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摘要: 颗粒材料（如砂土、卵石、道砟等）在岩土工程中有着广泛应用，深入理解其物理力学特性的影响机制对工程实践具有重要意义。大量研究表明，颗粒材料的宏观力学行为与其细观颗粒几何形态密切相关。然而，现有研究大多聚焦于单一几何形态指标，且常常局限于单分散分布。为此，本文首先基于对真实岩土颗粒材料几何形态分布的量化评价，并通过引入多分散指数构建了多层次多分散几何形态分布的完整量化框架。接着，针对不同层次的几何形态分布，分别提出了相应的控制生成方法。最后，通过等压三轴固结的离散元模拟案例验证了所提出的颗粒生成方法的有效性。模拟结果表明，无论何种层次的几何形态，其多分散分布特性均会显著影响试样的初始堆积密度和平均配位数。本文的研究成果为系统探究多层次多分散几何形态对颗粒材料剪切特性的影响机理奠定了基础。Abstract: Granular materials (such as sand, gravel, and ballast particles) are widely used in geotechnical engineering, and understanding the mechanisms that influence their physical and mechanical properties is crucial for engineering practice. Numerous studies have shown that the macroscopic mechanical behavior of granular materials is closely related to geometric morphology of individual particles. However, existing studies mainly focus on single shape parameters and are often limited to monodisperse distributions. To address this, this study first establishes a comprehensive quantification framework for multilevel-polydisperse shape distributions based on the shape quantifications of realistic geotechnical particle assemblies. Subsequently, this study systematically develops methods to independently control polydisperse distributions of particle shape at each morphological level based on computational geometry theory. Finally, the effectiveness of the proposed particle generation methods is validated through discrete element simulations of isotropic compression tests. The simulation results indicate that the polydisperse distribution characteristics significantly affect the initial packing density and mean coordination number of the samples, regardless of the morphological level. This study provides a basis for systematically investigating the effects of multilevel-polydisperse shape distributions on the physical and mechanical properties of granular materials.
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