岩石Mott环自由膨胀动态破碎特征研究
STUDY ON DYNAMIC FRACTURE CHARACTERISTICS OF FREE EXPANSION OF ROCK MOTT RING
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摘要: 为研究脆性材料冲击破碎问题, 基于自主开发的连续非连续软件对岩石Mott环在自由膨胀过程中的动态破碎特征展开研究. 讨论网格尺寸对模拟结果的影响, 通过网格细化分和收敛性分析, 验证模拟结果的准确性和可靠性. 提出一种新的基于初始动能、残余动能和断裂能严格平衡的Mott环动态破碎理论模型, 讨论动能比对归一化碎片尺寸的影响关系. 开展不同断裂能、抗拉强度和弹性模量下的岩石Mott环模拟, 研究材料参数变化对碎片尺寸、应变率及归一化效应的影响. 结果表明: 新的基于能量平衡的破碎模型可以更好地预测碎片的平均尺寸, 克服传统Grady模型和Glenn-Chudnovsky模型的不足; 碎片的累积分布曲线可近似地采用Rayleigh分布曲线表征; 随着断裂能的增加, 在保持应变速率恒定的条件下, 岩石Mott环的破碎程度降低. 在恒定初始膨胀速度下, 岩石Mott环受断裂前累积应力水平、应变能积累及断裂过程中应力集中等因素影响, 平均碎片尺寸并未随抗拉强度的增加呈现单调变化趋势. 弹性模量对岩石Mott环的应变速率效应存在一个明显阈值, 当应变率超过该阈值, 岩石材料从弹性变形阶段到最终断裂所需时间越小, 导致弹性模量对碎片平均尺寸的影响几乎可以忽略.Abstract: In order to study the impact fracture of brittle materials, this paper studies the dynamic fracture characteristics of rock Mott ring in the process of free expansion based on the self-developed continuous- discontinuous code. The influence of mesh size on the simulation results is discussed and the accuracy and reliability of the simulation results are verified by mesh refinement and convergence analysis. A new theoretical model of Mott ring dynamic fragmentation based on the strict balance of initial kinetic energy, residual kinetic energy and fracture energy is proposed, and the influence of kinetic energy ratio on the normalized fragment size is discussed. The simulation of rock Mott ring under different fracture energy, tensile strength and elastic modulus was carried out to study the influence of material parameters on fragment size, strain rate and normalization effect. The results show that the new fragmentation model based on energy balance can better predict the average size of fragments and overcome the shortcomings of traditional Grady model and Glenn-Chudnovsky model. The cumulative distribution curve of fragments can be approximately characterized by Rayleigh distribution curve. With the increase of fracture energy, the degree of fragmentation of rock Mott ring decreases under the condition of constant strain rate. At a constant initial expansion rate, the rock Mott ring is affected by many factors such as the cumulative stress level before fracture, the accumulation of strain energy and the stress concentration during the fracture process. The average fragment size does not show a monotonous trend with the increase of tensile strength. The elastic modulus has an obvious threshold for the strain rate effect of the rock Mott ring. When the strain rate exceeds the threshold, the time required for the rock material to move from the elastic deformation stage to the final fracture is smaller, resulting in the effect of the elastic modulus on the average size of the fragment is almost negligible.