综合考虑宏细观缺陷的岩体动态损伤本构模型

张力民; 吕淑然; 刘红岩

doi:10.11883/1001-1455-(2015)03-0428-09

综合考虑宏细观缺陷的岩体动态损伤本构模型

doi: 10.11883/1001-1455-(2015)03-0428-09

张力民^{1, 2},
吕淑然³,
刘红岩^{4, 5, 6, ,}

1.
北京科技大学土木与环境工程学院, 北京 100083
2.
河北承德钢铁公司, 河北承德 067000
3.
首都经济贸易大学安全与环境工程学院, 北京 100026
4.
中国地质大学(北京)工程技术学院, 北京 100083
5.
西藏大学工学院, 西藏拉萨 850000
6.
中国地质大学(北京)国土资源部深部地质钻探技术重点实验室, 北京 100083

基金项目: 国家自然科学基金项目(41002113, 41162009);教育部科学技术研究重点项目(211175)

详细信息

作者简介:
张力民(1970—), 男, 博士

通讯作者:
刘红岩, lhyan1204@126.com

中图分类号: O383;TJ410.33
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- 文章访问数: 2947
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- 被引次数: 8
出版历程
- 收稿日期: 2013-10-30
- 修回日期: 2013-12-20
- 刊出日期: 2015-05-25

A dynamic damage constitutive model of rock mass by comprehensively considering macroscopic and mesoscopic flaws

Zhang Li-min^{1, 2},
Lü Shu-ran³,
Liu Hong-yan^{4, 5, 6
, ,}

1.
Civil and Environmental Engineering School, University of Science and Technology Beijing, Beijing 100083, China
2.
Hebei Chengde Iron and Steel Corporation, Chengde 850000, Hebei, China
3.
School of Safety and Environment Engineering, Capital University of Economics and Business, Beijing 100083, China
4.
College of Engineering & Technology, China University of Geoseiences(Beijing), Beijing 100083, China
5.
School of Engineering, Tibet University, Lasa 850000, Xizang, China
6.
Key Laboratory on Deep Geo Drilling Technology, Ministry of Land and Resources, China University of Geoseiences(Beijing), Beijing 100083, China

摘要

摘要: 针对节理岩体同时含有节理、裂隙等宏观缺陷及微裂隙、微孔洞等细观缺陷的客观事实, 提出了在节理岩体动态损伤本构模型中应同时考虑宏细观缺陷的观点。为此, 首先对基于细观动态断裂机理的经典岩石动态损伤本构模型—TCK(Taylor-Chen-Kuszmaul)模型进行了阐述, 其次基于Lemaitre等效应变假设推导了综合考虑宏细观缺陷的复合损伤变量(张量), 进而在此基础上建立了相应的节理岩体动态损伤本构模型, 并利用该模型讨论了载荷应变率及节理条数对岩体动态力学特性的影响规律。结果表明, 在不同载荷应变率下试件在变形初始阶段是重合的, 而后随着应变的增加, 试件峰值强度、峰值应变及总应变均随载荷应变率的增加而增加; 随着节理条数的增加, 试件峰值强度逐渐降低, 但降低趋势逐渐变缓并趋于某一定值。上述研究结论与目前的理论及实验研究结果的基本规律是一致的, 说明了本模型的合理性。
- 爆炸力学 /
- 动态损伤本构模型 /
- 宏观缺陷 /
- 细观缺陷 /
- 动态断裂机理 /
- 复合损伤变量 /
- 节理岩体
Abstract: In view of the fact that the jointed rockmass contains both macroscopic flaws such as the joint and crack and the mesoscopic flaws such as the microcrack and microhole, the viewpoint that the above two kinds of flaws should be considered at the same time in the dynamic damage constitutive model of the jointed rockmass is proposed.Therefore, the rock classic dynamic damage constitutive model namely TCK model based on mesoscopic dynamic fracture mechanism is discussed, then the compound damage variable(tensor)comprehensively considering macroscopic and mesoscopic flaws based on Lemaitre equivalent strain hypothesis is deduced.Finally, the corresponding dynamic damage constitutive model is established, and the effect law of the load strain ratio and joint set on rock mass dynamic mechanical property is discussed with this model.The results show that under different load strain rates, the initial deformation stage of the samples coincides with each other, and then with increase of strain, the climax strength, strain and the total strain of the samples all increase.With increase in joint sets, the climax strength of the samples gradually decreases, but the reduction degree gradually becomes little and tends to a certain value.The basic law between the above research conclusions and the current experimental and theoretical results is the same, which demonstrates the rationality of this model.
- mechanics of explosion /
- dynamic damage constitutive model /
- macroscopic flaw /
- mesoscopic flaw /
- dynamic fracture mechanism /
- compound damage variable /
- jointed rock mass

HTML全文

图 1 应变等效计算示意图

Figure 1. Calculation of the equivalent strain

下载: 全尺寸图片幻灯片

图 2 耦合损伤变量随宏细观损伤变量变化规律

Figure 2. Change law of the coupled damage variable varied with macroscopic and mesoscopic damage

下载: 全尺寸图片幻灯片

图 3 含裂隙岩体的受力模型

Figure 3. Mechanical model of cracked rock mass

下载: 全尺寸图片幻灯片

图 4 岩石试件二维计算模型

Figure 4. Two-dimensional calculation model of rock

下载: 全尺寸图片幻灯片

图 5 岩体单轴压缩动态应力应变曲线

Figure 5. Stress-strain curves of rock under axial dynamic compression

下载: 全尺寸图片幻灯片

图 6 不同应变率下试件动态应力随应变变化关系

Figure 6. Relation between dynamic stress of rock varied with strain under different load strain rates

下载: 全尺寸图片幻灯片

图 7 1~4条平行节理试件应力应变曲线

Figure 7. Stress-strain curves of the jointed rock mass with 1~4 parallel joints

下载: 全尺寸图片幻灯片

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施引文献

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