恒定动载下高温水冷后玄武岩的动力特性及本构模型

徐泽辉; 何童; 杜光钢; 刘磊

doi:10.11883/bzycj-2022-0421

恒定动载下高温水冷后玄武岩的动力特性及本构模型

doi: 10.11883/bzycj-2022-0421

徐泽辉^1,,
何童²,
杜光钢²,
刘磊^{2, 3, ,}

1.
昆明理工大学公共安全与应急管理学院，云南昆明 650093
2.
昆明理工大学国土资源工程学院，云南昆明 650093
3.
昆明理工大学云南省中-德蓝色矿山与特殊地下空间开发利用重点实验室，云南昆明 650093

基金项目: 国家自然科学基金（11862010）；云南省教育厅科学研究基金（2020Y0088）

详细信息

作者简介:
徐泽辉（1997－　），男，硕士研究生，zehui.xu@stu.kust.edu.cn

通讯作者:
刘　磊（1981－　），男，博士，教授，kgliulei@kust.edu.cn

中图分类号: O347.3; TU45
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- 被引次数: 0
出版历程
- 收稿日期: 2022-10-07
- 修回日期: 2023-04-12
- 网络出版日期: 2023-04-25
- 刊出日期: 2023-06-05

Dynamic properties and constitutive model of basalt after high-temperature treatment and water cooling under constant dynamic load

XU Zehui^1
,,
HE Tong²,
DU Guanggang²,
LIU Lei^{2, 3
, ,}

1.
Faculty of Public Security and Emergency Management, Kunming University of Science and Technology, Kunming 650093, Yunnan, China
2.
Faculty of Land Resources Engineering, Kunming University of Science and Technology, Kunming 650093, Yunnan, China
3.
Yunnan Key Laboratory of Sino-German Blue Mining and Utilization of Special Underground Space, Kunming University of Science and Technology, Kunming 650093, Yunnan, China

摘要

摘要: 为研究地应力、地温和动力扰动下岩石的动力特性，利用带围压的分离式霍普金森压杆装置，对常温（25 ℃）和经历不同高温水冷（100、300、450和600 ℃）后的玄武岩试样开展了恒定动载下不同围压等级（2、4和6 MPa）的动态压缩实验，借助静态力学实验及微观实验的测试结果，分别探讨了温度和围压对玄武岩动态力学特性及破坏特征的影响规律，并基于Weibull分布理论，构建了恒定动载下高温水冷后玄武岩的动态本构模型。结果表明：3组围压下，玄武岩的动态峰值应力、弹性模量均存在温度劣化效应，且围压越高，温度劣化效应越显著；常温和经历100~600 ℃高温水冷后玄武岩的动态峰值应力、弹性模量均存在围压强化效应，但该围压强化效应在600 ℃时有所减弱。围压一定时，随着温度的升高，试样的破碎程度不断加剧；温度一定时，随着围压的升高，试样的破碎程度逐渐降低。所建立的玄武岩动态本构模型与实验结果具有较好的一致性，可用于预测玄武岩在高温水冷和主动围压耦合作用下的动态力学行为，从而为地下资源开发及地下工程防护提供理论支持。
- 岩石动力学 /
- 高温水冷 /
- 动力特性 /
- 破坏特征 /
- 本构模型
Abstract: Experimental and theoretical investigations on basalt rock were implemented to explore the dynamic characteristics of rocks subjected to crustal stress, geothermal environment, and dynamic disturbance and to enrich the theoretical research of underground rock mass engineering. First, a split Hopkinson pressure bar (SHPB) device with a confining pressure loading system was used to carry out constant-pressure dynamic compression tests on basalt samples at room temperature (25 ℃) and those that have experienced high-temperature treatment (100, 300, 450, and 600 ℃) and water-cooling processes, with confining pressures of 2, 4 and 6 MPa. Second, static and microscopic tests were conducted to understand the effects of temperature and confining pressure on the dynamic mechanical properties and failure characteristics of basalt, respectively. Third, a dynamic constitutive model for basalt under confining pressure, high-temperature treatment, and water-cooling was constructed based on the Weibull distribution theory. The results show there is a temperature degradation effect on the dynamic peak stress and elastic modulus of basalt under the three sets of confining pressures. And the higher the confining pressure, the more significant the temperature degradation effect. In addition, a confining-pressure-induced strengthening effect on the dynamic peak stress and elastic modulus was observed for basalt samples at room temperature and those that have undergone the process of high-temperature treatment followed by water cooling, though the effect tends to be weak for the sample that has been subject to 600 ℃ treatment. For a given confining pressure, the degree of fragmentation of the sample increases with the heat-treatment temperature. For a given heat-treatment temperature, the degree of fragmentation of the sample decreases with the increase of confining pressure. The established dynamic constitutive model of basalt has good consistency with the experimental results and can be used to predict the dynamic mechanical behavior of basalt under the coupling effect of high-temperature treatment, water cooling and active confining pressure, thus providing theoretical support for underground resource development and protection of underground engineering.
- rock dynamics /
- high-temperature treatment and water cooling /
- dynamic properties /
- failure characteristics /
- constitutive model

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图 1 带围压的SHPB装置

Figure 1. SHPB device with confining pressure loading system

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图 2 动态应力平衡检验

Figure 2. Dynamic stress balance verification

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图 3 KRX-17B箱式炉

Figure 3. KRX-17B box furnace

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图 4 玄武岩的表观形貌

Figure 4. Apparent morphology of basalt specimens

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图 5 高温水冷后玄武岩静态应力-应变曲线

Figure 5. Static stress-strain curves of basalt after high-temperature water cooling

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图 6 不同围压下高温水冷玄武岩的动态应力-应变曲线

Figure 6. Dynamic stress-strain curves of high-temperature water cooling basalt under different confining pressures

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图 7 玄武岩动力特性随温度的变化

Figure 7. Variation of dynamic mechanical properties of basalt with temperature

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图 8 玄武岩动力特性随围压的变化

Figure 8. Variation of dynamic mechanical properties of basalt with confining pressure

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图 9 不同围压和温度作用下玄武岩试样的动态破坏特征

Figure 9. Dynamic failure characteristics of basalt specimens at different confining pressures and temperatures

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图 10 玄武岩损伤过程

Figure 10. Damage process of basalt

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图 11 玄武岩的应力-应变实验曲线与理论曲线

Figure 11. Experimental and theoretical stress-strain curves of basalt

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表 1 高温水冷玄武岩的基本物理力学参数

Table 1. Basic physical and mechanical parameters of basalt after high-temperature treatment and water cooling

试样	温度/℃	波速/(m·s⁻¹)	准静态抗压强度/MPa	静态弹性模量/GPa
JY-25	25	4 146	89.89	8.70
JY-100	100	3 988	83.72	7.36
JY-300	300	3 735	73.78	6.01
JY-450	450	2 911	56.14	4.39
JY-600	600	2 110	28.75	1.93
注：“JY-100”中“JY”表示静态压缩，“100”表示温度。

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表 2 玄武岩动态压缩实验结果

Table 2. Results of dynamic compression experiments on basalt

试样编号	温度/℃	围压/MPa	动态弹性模量/GPa	动态峰值应力/MPa	动态峰值应变
DY-25-1	25	2	24.21	194.73	0.010 2
DY-25-2	25	4	30.17	237.29	0.009 8
DY-25-3	25	6	42.47	299.28	0.008 5
DY-100-1	100	2	21.57	178.04	0.010 8
DY-100-2	100	4	25.36	214.29	0.010 6
DY-100-3	100	6	37.89	257.44	0.008 4
DY-300-1	300	2	17.48	156.01	0.011 8
DY-300-2	300	4	21.86	204.30	0.011 8
DY-300-3	300	6	31.11	229.40	0.009 3
DY-450-1	450	2	13.31	118.79	0.014 2
DY-450-2	450	4	16.76	151.98	0.013 3
DY-450-3	450	6	23.04	183.90	0.010 7
DY-600-1	600	2	7.04	79.86	0.016 1
DY-600-2	600	4	8.48	91.96	0.013 1
DY-600-3	600	6	11.01	107.11	0.011 1
注：“DY-100-1”中“DY”表示动态压缩，“100”表示温度，“1”表示试件编号。

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表 3 本构模型参数

Table 3. Constitutive model parameters

温度/℃	围压/MPa	静态弹性模量/GPa	动态弹性模量/GPa	$ m $	$ \alpha $
25	2	8.70	24.21	4.16	0.014 3
	4	8.70	30.17	4.40	0.013 7
	6	8.70	42.47	4.97	0.011 8
100	2	7.36	21.57	3.64	0.015 4
	4	7.36	25.36	4.32	0.014 8
	6	7.36	37.89	4.55	0.011 7
300	2	6.01	17.48	3.47	0.016 9
	4	6.01	21.86	4.10	0.016 7
	6	6.01	31.11	4.11	0.013 1
450	2	4.39	13.31	2.11	0.020 2
	4	4.39	16.76	2.49	0.019 3
	6	4.39	23.04	3.24	0.015 4
600	2	1.93	7.04	2.75	0.023 3
	4	1.93	8.48	4.80	0.018 1
	6	1.93	11.01	6.20	0.014 9

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