冲击载荷下煤样动力学响应特性与损伤本构模型

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摘要为研究深部煤体动载响应规律，采用分离式霍普金森压杆试验系统（SHPB）对信湖矿煤样开展了不同应变率的单轴冲击压缩试验。研究结果表明：冲击载荷下煤样动态抗压强度强度具有明显的应变率效应，且随着应变率增大，应变硬化现象愈发明显；煤样反射能、透射能、吸收能、耗能密度与应变率呈一次函数关系，耗能占比与应变率呈指数型函数关系，且均保持正相关。基于经典朱-王-唐（ZWT）模型、Weibull分布、Drucker-Prager（D-P）准则，建立了考虑煤样损伤与粘滞性特征的动态统计损伤本构模型，并对本构模型的准确性与普适性进行了验证。该模型能够较好地描述煤样冲击动态力学行为，为动载影响下深地煤炭安全开采提供了基础研究。

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	杨科1
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	许日杰1
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	刘帅1
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	刘文杰1
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	张杰1
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关键词 ：煤, 应变率, 朱-王-唐模型, 动态损伤本构模型, 分离式霍普金森压杆

Abstract：In order to study the dynamic response law of deep coal body, the uniaxial impact compression tests with different strain rates were carried out on the coal samples of Xinhu Mine by using the Split Hopkinson Pressure Bar (SHPB) test system. The results show that the dynamic compressive strength of coal samples under impact load has obvious strain rate effect, and the strain hardening phenomenon becomes more obvious with the increase of strain rate. The reflection energy, transmission energy, absorption energy and energy consumption density of coal samples have a linear function relationship with strain rate, and the proportion of energy consumption has an exponential function relationship with strain rate, and all of them maintain a positive correlation. Based on the classical Zhu-Wang-Tang (ZWT) model, Weibull distribution and Drucker-Prager (D-P) criterion, a dynamic statistical damage constitutive model considering the damage and viscosity characteristics of coal samples was established, and the accuracy and universality of the constitutive model were verified. The model can better describe the dynamic mechanical behavior of coal samples, and provide a basic research for the safe mining of deep coal under the influence of dynamic load.

Key words： coal strain rate Zhu-Wang-Tang model dynamic damage constitutive model split hopkinson pressure bar

收稿日期: 2023-08-23 出版日期: 2024-05-15

引用本文:

杨科1,2,3，许日杰1,2,3，刘帅1,2,4，刘文杰1,2,3，张杰1,2,3. 冲击载荷下煤样动力学响应特性与损伤本构模型[J]. 振动与冲击, 2024, 43(9): 139-148.
YANG Ke1,2,3, XU Rijie1,2,3, LIU Shuai1,2,4, LIU Wenjie1,2,3, ZHANG Jie1,2,3. Dynamic response characteristics and damage constitutive model of coal samples under impact load. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(9): 139-148.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2024/V43/I9/139

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