冲击载荷下不同尺寸煤岩动力学分析及损伤特性研究

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (22) : 322-331.

论文

王磊，邹鹏，谢广祥，范浩，焦振华，陈礼鹏

作者信息 +

Dynamic analysis and damage characteristics of coal rock with different sizes under impact loading

WANG Lei， ZOU Peng， XIE Guangxiang， FAN Hao， JIAO Zhenhua， CHEN Lipeng

Author information +

文章历史 +

摘要

为探究冲击载荷作用下不同尺寸煤岩的动态力学及损伤特性，利用分离式霍普金森压杆系统对直径50mm长度分别为15、20、25、30、35、40、45和50mm的煤岩开展了冲击压缩试验，通过分析应力-应变曲线特征得出应变率、峰值应力和动态弹模随尺寸变化的关系，并基于能量耗散规律提出煤岩受载全过程动态损伤指标K，同时与Weibull分布结合D-P准则得出的损伤变量Dw进行对比，探究不同尺寸煤岩的动态损伤特性。结果表明：不同尺寸煤岩的动态应力-应变曲线包含弹性、塑性和塑性软化三个阶段。随煤岩尺寸的增加，应变率和峰值应力呈减小趋势，动态模量为线性增加；动态损伤指标K是煤岩弹性阶段结束后的瞬时破碎耗能与完全破坏时对应总破碎耗能的比值；动态损伤指标与损伤变量的曲线形态具有相似性，变化趋势具有一致性，表明了K的合理性。指标K的最大损伤值更稳定、更符合破坏状态假设，说明了其具有一定的适用性。

Abstract

In order to investigate the dynamic mechanics and damage characteristics of coal rock with different sizes under impact loading, impact compression tests of coal rock with 50mm diameter and length of 15, 20, 25, 30, 35, 40, 45 and 50mm are carried out by split Hopkinson pressure bar system. By analyzing the characteristics of stress-strain curve, the relationship between strain rate, peak stress and dynamic elastic modulus and size is obtained. Based on the law of energy dissipation, the dynamic damage index K of coal rock in the whole process of loading is proposed, and the dynamic damage characteristics of coal rock with different sizes are explored by comparing with the damage variable Dw obtained by Weibull distribution combined with D-P criterion. The results show that the dynamic stress-strain curves of coal rock with different sizes include three stages of elastic, plastic and plastic softening. With the increase of coal size, the strain rate and peak stress decrease, and the dynamic modulus increases linearly. Dynamic damage index K is the ratio of instantaneous crushing energy dissipation after the end of elastic stage of coal rock to the corresponding total crushing energy dissipation when it is completely destroyed; The curve shape of dynamic damage index and damage variable is similar, and the change trend is consistent, which shows that K is reasonable. The maximum damage value of index K is more stable and more consistent with the hypothesis of failure state, which shows that it has certain applicability.

导出引用

王磊，邹鹏，谢广祥，范浩，焦振华，陈礼鹏. 冲击载荷下不同尺寸煤岩动力学分析及损伤特性研究[J]. 振动与冲击, 2023, 42(22): 322-331

WANG Lei， ZOU Peng， XIE Guangxiang， FAN Hao， JIAO Zhenhua， CHEN Lipeng. Dynamic analysis and damage characteristics of coal rock with different sizes under impact loading[J]. Journal of Vibration and Shock, 2023, 42(22): 322-331

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