冲击作用下含瓦斯煤的能量演化规律及损伤本构模型

牛心刚

doi:10.11858/gywlxb.20251199

冲击作用下含瓦斯煤的能量演化规律及损伤本构模型

doi: 10.11858/gywlxb.20251199

牛心刚^{1, 2,*, ,}

1.
中煤科工集团重庆研究院有限公司, 重庆　400037
2.
煤矿灾害防控全国重点实验室, 重庆　400037

基金项目: 国家自然科学基金（52474277）；国家自然科学基金区域创新发展联合基金重点项目（U21A20110）

详细信息

通讯作者:
牛心刚（1990－），男，博士，副研究员，主要从事煤矿瓦斯动力灾害防治技术研究. E-mail：xingangniu@163.com

中图分类号: TD712; O521.9; O347.1
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出版历程
- 收稿日期: 2025-09-12
- 修回日期: 2025-10-11
- 网络出版日期: 2025-10-26
- 刊出日期: 2026-02-05

Energy Consumption Characteristics and Dynamic Damage Constitutive Model of Gas-Bearing Coal under Dynamic Loading

NIU Xingang^{1, 2,*
, ,}

1.
Chongqing Research Institute Co., Ltd., China Coal Technology and Engineering Group, Chongqing 400037, China
2.
State Key Laboratory of Coal Mine Disaster Prevention and Control, Chongqing 400037, China

摘要

摘要: 为探究冲击作用下含瓦斯煤的损伤演化规律，利用含瓦斯煤分离式霍普金森压杆（split Hopkinson pressure bar，SHPB）试验系统，对瓦斯压力分别为0、0.5、1.0、1.5和2.0 MPa的煤体进行动态压缩试验，基于能量理论分析了冲击作用下含瓦斯煤的变形破坏过程，探讨了瓦斯压力对煤体能量参数的影响规律，借助SMP强度准则和Weibull分布函数，结合耗能指标，建立了考虑瓦斯-冲击耦合的含瓦斯煤的动态损伤本构模型。研究表明：冲击压缩过程中，含瓦斯煤的能量时程曲线可分为缓速增长阶段、加速增长阶段和稳定阶段；随着瓦斯压力的增大，煤体的反射能呈线性增加趋势，而透射能和耗散能则呈线性降低趋势；瓦斯-冲击耦合损伤本构模型曲线与试验曲线具有较好的一致性，可以准确地描述冲击作用下含瓦斯煤的全应力-应变过程和损伤演化规律。
- 含瓦斯煤 /
- 冲击荷载 /
- 能量耗散 /
- 瓦斯-冲击耦合 /
- 损伤本构模型
Abstract: To explore the damage evolution law of gas-bearing coal under impact, a split Hopkinson pressure bar (SHPB) test system for gas-bearing coal was used to conduct dynamic compression tests on coal with gas pressures of 0, 0.5, 1.0, 1.5, and 2.0 MPa. Based on the energy theory, the deformation and failure processes of gas-bearing coal under impact were analyzed, and the influence of gas pressure on energy parameters of coal was discussed. Using the SMP strength criterion and Weibull distribution function, a dynamic damage constitutive model of gas-bearing coal considering gas-impact coupling damage was established by combining the energy consumption index. The results indicate that during the impact compression process, the energy curve of gas-bearing coal can be divided into a slow growth stage, an accelerated growth stage, and a stable stage. With the increase of gas pressure, the reflected energy of coal shows a linear increase trend, while the transmitted energy and dissipated energy show a linear decrease trend. The theoretical curve based on the gas-impact coupling damage constitutive model is highly consistent with the test curve, indicating that the model can accurately describe the damage evolution law of the entire stress-strain process of gas-bearing coal under impact.
- gas-bearing coal /
- impact load /
- energy dissipation /
- gas-impact coupling /
- damage constitutive model

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图 1 标准煤样

Figure 1. Standard coal samples

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图 2 含瓦斯煤SHPB试验系统

Figure 2. SHPB test system for gas-bearing coal

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图 3 瓦斯压力变化曲线

Figure 3. Variation curves of gas pressure

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图 4 应力平衡验证

Figure 4. Stress balance verification

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图 5 含瓦斯煤的动态应力-应变曲线

Figure 5. Dynamic stress-strain curves of gas-bearing coal

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图 6 含瓦斯煤的能量-时间曲线

Figure 6. Energy-time curves of gas-bearing coal

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图 7 反射能和透射能随瓦斯压力的变化规律

Figure 7. Change law of reflected energy and transmitted energy with gas pressure

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图 8 耗散能随瓦斯压力的变化

Figure 8. Change of dissipated energy with gas pressure

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图 9 模型计算与试验结果的对比

Figure 9. Comparison between model calculations and test results

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表 1 煤样的基本物理力学参数

Table 1. Basic physical and mechanical parameters of coal samples

ρ/(g·cm⁻³)	Wave velocity/(m·s⁻¹)	σ_c/MPa	E/GPa	c/MPa	ϕ/(°)
1.31	1623	21.73	2.26	1.53	35.65

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表 2 含瓦斯煤的能量参数

Table 2. Energy parameters of gas-bearing coal

p_g/MPa	Specimen No.	W_i/J		W_r/J		W_t/J		W_d/J
p_g/MPa	Specimen No.	Test	Average	Test	Average	Test	Average	Test	Average
0	A1	69.31	70.40	32.11	32.86	12.51	12.46	24.69	24.74
	A2	70.56		32.84		12.91		23.81
	A3	71.32		33.64		11.95		25.73
0.5	B1	70.14	70.04	35.96	35.71	11.71	11.50	22.47	22.83
	B2	69.05		34.72		11.55		22.78
	B3	70.94		36.45		11.25		23.24
1.0	C1	71.69	70.58	39.39	38.41	10.59	10.71	21.51	21.39
	C2	69.54		37.32		11.53		20.69
	C3	70.51		38.51		10.02		21.98
1.5	D1	72.36	70.79	43.04	41.85	9.11	9.40	18.53	18.97
	D2	69.74		41.25		9.67		18.82
	D3	70.26		41.26		9.43		19.57
2.0	E1	70.41	70.53	46.21	45.43	8.09	8.34	16.11	16.43
	E2	70.97		45.32		8.56		17.09
	E3	69.21		44.77		8.36		16.08

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表 3 模型参数

Table 3. Model parameters

p_g/MPa	m	X₀	R²
0	1.47	60.05	0.9754
0.5	1.91	58.15	0.9905
1.0	1.78	57.23	0.9974
1.5	2.31	56.59	0.9889
2.0	2.90	55.36	0.9726

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