顾及范德华力作用的月壤离散元模拟及其圆锥贯入试验

    • 摘要: 月壤作为月面建造、资源勘查等任务的重要材料,其力学响应特性对探月工程至关重要。月壤颗粒间的范德华力作用因月面的高真空环境而显著,是月壤表现出粘聚力的主要原因,使其力学行为与地球环境下存在差异。因此,研究范德华力对月壤力学特性的影响,对于理解月壤的力学行为及优化月面作业工具具有重要意义。本文首先利用离散元方法建立了包含月壤范德华力的接触模型,通过三轴剪切试验分析了不同范德华力系数下月壤抗剪强度(粘聚力和内摩擦角)、体变和力学配位数的变化情况。结果表明,随着范德华力系数从0增至1 × 105,月壤粘聚力从0提升至2.7 kPa,内摩擦角从45.5°增至47.3°。对比月面与地面环境下模拟月壤的抗剪强度,发现试样在较低的月球重力环境下反而表现出了更高的抗剪强度,这主要是由于范德华力的存在稳定了颗粒间的联结。参考月壤的原位抗剪强度数据,离散元模拟月壤的力学特性标定为粘聚力1.1 kPa,内摩擦角46.8°。在此基础上,进一步开展了圆锥贯入试验数值模拟,重点分析了贯入速度和锥尖角度对锥尖阻力与侧摩阻力的影响。结果表明,二者与锥尖阻力及侧摩阻力均呈线性正相关关系,且月壤在贯入初期所受扰动最为显著。该研究为月壤的数值模拟与力学特性分析提供了重要理论依据,并可为未来月面建造、钻探及资源勘查等任务提供技术支持。

       

      Abstract: Lunar regolith serves as a critical material for lunar surface construction and resource exploration missions, marking its mechanical response characteristics essential for lunar engineering applications. The van der Waals forces between lunar regolith particles are prominent under the high-vacuum lunar environment, constituting the primary mechanism responsible for the cohesion observed in lunar regolith. This distinct interparticle interaction mechanism differentiates its mechanical behavior from that of terrestrial soil under terrestrial conditions. Therefore, investigating the influence of van der Waals forces on the mechanical properties of lunar regolith is vital for understanding the mechanical behavior of lunar regolith and optimizing the lunar surface operation tools. In this study, a discrete element method (DEM)-based contact model incorporating van der Waals forces was established to simulate lunar regolith. Triaxial shear tests were conducted to analyze variations in shear strength (cohesion and internal friction angle), volumetric strain, and mechanical coordination number under different van der Waals force coefficients (D_van). The results indicate that as the D_van increases from 0 to 1 × 105, the cohesion of the lunar regolith simulant rises from 0 to 2.7 kPa, while the internal friction angle increases from 45.5° to 47.3°. A comparison of the shear strength of lunar regolith simulant under lunar and terrestrial gravity conditions reveals that it exhibits higher shear strength in the reduced lunar gravity environment. This phenomenon is primarily attributed to van der Waals forces, as they enhance interparticle bonding. The mechanical properties of the simulant were calibrated against the in-situ shear strength data for lunar regolith, yielding a cohesion of 1.1 kPa and an internal friction angle of 46.8°. Building upon this, numerical simulations of the cone penetration test (CPT) were conducted to investigate the effects of penetration velocity and cone tip angle on cone tip resistance and side frictional resistance. The results demonstrate a linear positive correlation between these parameters and penetration resistance, with the most significant disturbance to lunar regolith occurring at the initial penetration stage. This study provides an important reference for numerical simulations and analysis of the mechanical properties of lunar regolith, offering technical support for future lunar surface construction, drilling, and resource exploration.

       

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