岩石结构面两级形貌剪切特性研究

刘丹; 张博文; 洪陈杰; 黄曼; 杜时贵; 罗战友

doi:10.11779/CJGE202208008

岩石结构面两级形貌剪切特性研究 English Version

刘丹^1,,
张博文¹,
洪陈杰^{1, 2},
黄曼^1, ,,
杜时贵^{1, 3},
罗战友³

1.
绍兴文理学院土木工程学院, 浙江绍兴 312000
2.
中国矿业大学(北京)力学与建筑工程学院, 北京 100083
3.
宁波大学土木与环境工程学院, 浙江宁波 315000

基金项目:

国家自然科学基金项目 41427802

国家自然科学基金项目 41572299

浙江省自然科学基金项目 LY18D020003

详细信息

作者简介:
刘丹(1996—)，女，硕士研究生，主要从事岩体结构面力学性质等方面的研究工作。E-mail: liudanq0609@163.com

通讯作者:
黄曼，E-mail: hmcadx@126.com

中图分类号: TU45
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出版历程
- 收稿日期: 2021-07-27
- 网络出版日期: 2022-09-22
- 刊出日期: 2022-07-31

Shear properties of two-order morphology of rock joints

1.
School of Civil Engineering, Shaoxing University, Shaoxing 312000, China
2.
School of Mechanics and Civil Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China
3.
School of Civil Engineering and Environment, Ningbo University, Ningbo 315000, China

摘要

摘要: 岩石结构面表面形貌由宏观起伏体（一级）和表面微凸体（二级）两级形貌共同组成，剪切过程中各级形貌的剪切特性不尽相同。结合三维激光扫描技术、3D打印技术和模拟材料批量制作了模型结构面，开展了不同法向应力条件下的直剪试验。试验结果表明：相同法向应力条件下，二级形貌剪切磨损接近总体形貌，且大于一级形貌；不同法向应力条件下，剪切前后两级粗糙参数平均变化率随法向应力增加而逐渐增加，其中一级粗糙参数平均变化率 ${\eta _{\rm I}}$ 为1.99%~4.03%，二级粗糙参数平均变化率 ${\eta _{\rm{ \mathsf{ π} }} }$ 为5.97%~8.16%；进一步基于“余弦相似性”原理计算余弦夹角以评价剪切前后结构面形貌相似性，发现二级形貌余弦夹角波动最大，一级形貌余弦夹角与总体形貌余弦夹角较接近，验证了二级形貌的剪损特性和一级形貌的剪胀特性。上述研究可为结构面抗剪强度的评价提供参考意义。
- 岩石结构面 /
- 两级形貌 /
- 两级粗糙参数 /
- 直剪试验 /
- 剪切特性
Abstract: The surface morphology of rock joints is composed of two-order morphology, including macroscopic undulation components (first-order) and asperities of joint surfaces (second-order), and different morphologic components contribute differently to the shear characteristics during the shearing process. 3D laser scanning, 3D printing technology and similar materials are adopted to produce different model joints in batches, and direct shear tests are carried out under different normal stress conditions. The test results show that under the same normal stress, the second-order morphology shear wear is close to the overall morphology and greater than the first-order morphology. Under different normal stresses, the average variation rate of the two-order roughness parameters gradually increases with the increase of the normal stress before and after shearing. The average variation rate of the first-order roughness parameters ${\eta _{\rm I}}$ is 1.99%~4.03%, and that of the second-order roughness parameters ${\eta _{\rm{ \mathsf{ π} }} }$ is 5.97%~8.16%. The cosine angle is calculated based on the principle of "cosine similarity" to evaluate the similarity of the joints before and after shearing. The cosine angle of the second-order morphology fluctuates most, the cosine angle of the first-order morphology is close to the overall morphology, and the shear wear characteristics of the second-order morphology and the shear dilatancy characteristics of the first-order morphology are verified. The above results are of reference significance for the evaluation of the shear strength of joints.
- rock joint /
- two-order morphology /
- two-order roughness parameter /
- direct shear test /
- shear property

HTML全文

图 1 代表性结构面PLA模型打印

Figure 1. Printing of representative joint PLA models

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图 2 模型结构面试样

Figure 2. Model samples of rock joints

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图 3 粗糙表面积与采样间距的直线关系拟合

Figure 3. Fitting of linear relationship between areas of joint surfaces and sampling intervals

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图 4 结构面形貌分离

Figure 4. Separation of surface morphology of rock joints

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图 5 模型结构面剪切试验

Figure 5. Shear tests on model rock joints

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图 6 剪切位移-剪切应力曲线

Figure 6. Shear displacement-shear stress curves

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图 7 剪切位移-法向位移曲线

Figure 7. Shear displacement-normal displacement curves

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图 8 剪切后结构面形貌剪切磨损区域

Figure 8. Shear loss areas of surface morphology of rock joints after shearing

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图 9 3组结构面剪损面积比

Figure 9. Percentage of shear loss areas of three groups of rock joints

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图 10 剪切前后结构面各级形貌比较

Figure 10. Comparison of first and second-order morphologies of rock joints before and after shearing

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表 1 不同采样间距下结构面粗糙表面积

Table 1 Areas of joint surfaces under different sampling intervals

δ/mm	S/mm²
δ/mm	J01	J02	J03
50	9214	9222	9229
25	9215	9226	9234
20	9216	9227	9237
10	9219	9232	9241
5	9226	9247	9254
4	9229	9250	9257
2	9236	9262	9269
1	9243	9271	9278

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表 2 剪切前后粗糙参数变化率汇总

Table 2 Summary of variation rate of roughness parameters before and after shearing

法向应力 /MPa	试样编号	$\theta _{\max }^ * /{(C + 1)_{\rm I}}$		变化率/%	平均变化率/%	$\theta _{\max }^ * /{(C + 1)_{\rm{ \mathsf{ π} }}}$		变化率/%	平均变化率/%	${\theta }_{\mathrm{max}}^{\ast }/{(C+1)}_{总}$		变化率/%	平均变化率/%
法向应力 /MPa	试样编号	剪切前	剪切后	变化率/%	平均变化率/%	剪切前	剪切后	变化率/%	平均变化率/%	剪切前	剪切后	变化率/%	平均变化率/%
0.5	J01-1	4.25	4.35	2.35	1.99	4.42	4.47	1.13	5.97	5.88	5.88	0	2.18
	J02-1	7.57	7.50	0.92		5.38	4.67	13.20		9.13	8.74	4.27
	J03-1	10.32	10.04	2.71		6.73	6.49	3.57		11.45	11.19	2.27
1.0	J01-2	4.76	4.54	4.62	2.17	4.46	4.12	7.62	7.20	6.23	5.94	4.65	2.66
	J02-2	8.72	8.74	0.23		5.33	4.78	10.32		9.60	9.54	0.63
	J03-2	10.19	10.02	1.67		7.09	6.83	3.67		11.47	11.16	2.70
1.5	J01-3	4.23	3.95	6.62	3.98	4.41	4.04	8.39	7.60	5.81	6.01	3.44	2.73
	J02-3	8.09	8.20	1.36		5.49	4.81	12.39		9.59	9.32	2.81
	J03-3	10.13	9.73	3.95		6.91	6.77	2.03		11.33	11.11	1.94
2.0	J01-4	4.84	4.98	2.89	4.03	5.13	4.81	6.24	8.16	6.53	7.09	8.58	5.66
	J02-4	9.13	9.64	5.59		5.39	4.97	7.79		10.05	10.28	2.29
	J03-4	10.21	9.84	3.62		5.46	4.89	10.44		11.95	11.22	6.11

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表 3 剪切前后结构面余弦夹角汇总

Table 3 Summary of cosine angle of rock joints before and after shearing (°)

试样编号	剪切前后结构面余弦夹角			剪切后结构面余弦夹角
试样编号	一级	二级	总体	一级与总体	二级与总体
J01-1	16.81	32.22	15.90	3.86	46.93
J02-1	0.92	7.25	1.01	1.60	17.85
J03-1	1.15	12.83	0.74	1.46	29.70
J01-2	1.44	57.01	0.95	1.77	35.97
J02-2	0.56	19.13	0.92	2.57	20.54
J03-2	4.94	8.39	5.08	1.06	28.10
J01-3	27.85	43.01	28.35	3.29	51.62
J02-3	1.11	28.01	1.29	1.09	15.91
J03-3	12.55	23.31	10.88	2.06	30.33
J01-4	2.50	37.60	2.37	1.07	33.76
J02-4	8.35	15.17	8.28	1.33	33.27
J03-4	6.90	45.51	8.27	1.80	33.40

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