煤岩组合体巴西劈裂动态力学特征数值分析

马泗洲; 刘科伟; 郭腾飞; 黄晓辉; 周占星

doi:10.11858/gywlxb.20220589

煤岩组合体巴西劈裂动态力学特征数值分析

doi: 10.11858/gywlxb.20220589

中南大学资源与安全工程学院, 湖南长沙　410083

基金项目: 国家自然科学基金（51974360）

详细信息

作者简介:
马泗洲（1995-），男，硕士研究生，主要从事隧道爆破、岩土体稳定性分析及数值计算研究. E-mail：195512091@csu.edu.cn

通讯作者:
刘科伟（1982-），男，博士，副教授，主要从事岩土工程灾害预测、稳定性及可靠性分析研究. E-mail：kewei_liu@csu.edu.cn

中图分类号: O358
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出版历程
- 收稿日期: 2022-05-18
- 修回日期: 2022-05-25
- 网络出版日期: 2022-09-20
- 刊出日期: 2022-10-11

Numerical Analysis of Dynamic Mechanical Characteristics of Brazilian Splitting of Coal-Rock Combination Bodies

School of Resources and Safety Engineering, Central South University, Changsha 410083, Hunan, China

摘要

摘要: 为探究冲击荷载条件下煤岩组合工程体的动力学响应特征，通过室内试验测得单一煤、岩的基本力学参数，为煤、岩体HJC模型材料参数的选取提供依据。在材料模型有效性验证的基础上，采用LS-DYNA显式动力学软件研究了不同冲击荷载、冲击方向及加载角度条件下煤岩组合体动态劈裂过程中的应力波传播规律、变形破坏过程及破坏特征。结果表明：(1) 在不同冲击方向作用下，R-C与C-R组合体的应力波波形基本相同，但应力幅值略有差异，对比发现入射波幅值基本相等，但R-C组合体的反射波幅值偏大，透射波应力幅值偏小，随着冲击荷载的增大，差异性逐渐减小；(2) 在不同冲击荷载作用下，煤岩组合体在劈裂过程中以煤体部分破坏为主，且组合体中煤体部分总是在交界面远处先产生宏观裂隙，而岩体部分则多在交界面近处先起裂破坏；(3) 当冲击荷载较小时，C-R与R-C组合体的破坏形态基本相同，以拉伸、剪切破坏为主，随着冲击荷载的增大，组合体的破坏程度加剧，破坏形态的差异性也更明显；(4) 提出了一种以单元损伤失效数量为评价指标的方法来定量分析组合体的破碎程度，从数据的变化规律发现，组合体在加载角度为45°时破坏最剧烈。
- 煤岩组合体 /
- 动态劈裂 /
- HJC模型 /
- 破坏特征 /
- 破坏过程
Abstract: In order to investigate the dynamic mechanical characteristics of coal-rock composite engineering body under impact load, the basic mechanical parameters of pure coal and pure rock were obtained by laboratory tests for determining the parameters of HJC model. Based on the validity verification of the material model, LS-DYNA was employed to study the stress wave propagation features, failure process and failure characteristics of coal-rock combination bodies in dynamic splitting process considering the effects of impact loads, impact directions and loading angles. The results showed that: (1) the stress wave shapes of R-C and C-R samples are almost the same for different impact directions, but the stress amplitudes are slightly different. The comparison results showed that the incident wave amplitudes are similar, but for R-C samples, the amplitude of reflected wave is larger while that is smaller of transmitted wave. The difference gradually decreases with the increasing impact loads. (2) Under the action of different impact loads, the coal part is mainly damaged in the process of splitting, and the cracks generally appear in the coal part far from the interface, while the rock part commonly is damaged at the near side of the interface. (3) The failure modes of C-R and R-C samples are similar and mainly tensile and shear when the impact load is relatively low. The damage degree of the combination body is aggravated with increasing load, and the difference of failure modes becomes more obvious. (4) A method using the number of failure elements as an evaluation index is proposed to quantitatively analyze the breakage degree of the combination bodies. According to the numerical simulation results, the combination body damaged most seriously for the loading angle of 45°.
- coal-rock combination body /
- dynamic splitting /
- HJC model /
- failure characteristics /
- failure process

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图 1 常见煤岩层复合结构工程体示意图

Figure 1. Schematic diagram of common coal-rock composite structure

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图 2 SHPB数值模型及试样分组示意图

Figure 2. SHPB numerical model and sample grouping diagram

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图 3 HJC材料模型本构方程描述

Figure 3. Constitutive equation of HJC model

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图 4 冲击荷载下应力波加载方式及材料模型验证

Figure 4. Verification of stress loading mode and material model under impact loading

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图 5 煤岩组合体的动态应力平衡验证

Figure 5. Dynamic stress equilibrium verification of coal-rock combination bodies

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图 6 不同冲击荷载下C-R与R-C组合体的应力波传播特征

Figure 6. Stress waves of C-R and R-C combination bodies under different impact loads

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图 7 煤岩组合体动态劈裂应力波传播过程

Figure 7. Stress wave propagation process of coal-rock mass during dynamic splitting

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图 8 煤岩组合体力学模型及受力分析示意图

Figure 8. Mechanical model and stress analysis diagram of coal-rock mass

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图 9 不同加载角度下煤岩组合体的变形破坏过程（100 MPa冲击荷载）

Figure 9. Deformation and failure process of coal-rock mass under different loading angles (impact loading of 100 MPa)

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图 10 不同冲击荷载下C-R与R-C组合体的变形破坏特征

Figure 10. Deformation and failure characteristics of C-R and R-C combination bodies under different impact loads

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图 11 煤岩组合体损伤破坏程度的变化规律

Figure 11. Damage degree of coal-rock mass

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表 1 煤的HJC模型参数

Table 1. Parameters of HJC model for coal

ρ/(kg·m^–3)	G/GPa	f_c/MPa	A	B	C	N	S_max	D₁	D₂
1594	0.58	9.0	0.400	0.700	0.005	0.500	7.000	0.031	1.00
T/MPa	p_c/MPa	μ_c/10^–3	p_l/GPa	μ_l	K₁/GPa	K₂/GPa	K₃/GPa	$ \dot \varepsilon $₀/s⁻¹	${\varepsilon \rm_{f,\min } }$
1.86	3.0	0.8	1.0	0.121	81	−170	208	1.00	0.005

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表 2 岩的HJC模型参数

Table 2. Parameters of HJC model for rock

ρ/(kg·m^–3)	G/GPa	f_c/MPa	A	B	C	N	S_max	D₁	D₂
2670	10.8	135	0.762	1.65	0.009	0.74	4.00	0.045	1.00
T/MPa	p_c/MPa	μ_c/10^–3	p_l/GPa	μ_l	K₁/GPa	K₂/GPa	K₃/GPa	$ \dot \varepsilon $₀/s⁻¹	${\varepsilon \rm_{f,min } }$
7.48	45.27	2.9	1.0	0.101	85	−150	208	1.00	0.005

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