A Potential Strain Indicator for Brittle Failure Prediction of Low-Porosity Rock: Part II-Theoretical Studies Based on Renormalization Group Theory

doi:10.1007/s00603-014-0681-y

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	A Potential Strain Indicator for Brittle Failure Prediction of Low-Porosity Rock: Part II-Theoretical Studies Based on Renormalization Group Theory
	Xue, Lei 1,2; Qi, Meng 3; Qin, Siqing 1,2; Li, Guoliang 1,2; Li, Pei 1,2; Wang, Miaomiao 1,2
	2015-09-01
发表期刊	ROCK MECHANICS AND ROCK ENGINEERING
卷号	48 期号:5 页码:1773-1785
文章类型	Article
摘要	This paper investigated the theoretical relationship between the axial strain thresholds at the volumetric strain reversal point (epsilon (1cd)) and the strain threshold at the peak stress (epsilon (1ucs)) during a uniaxial compression test. Firstly, we used renormalization group theory with the stress transfer mechanism to reveal the essence of the phase transition phenomenon at the axial strain threshold (epsilon (1cd)). Then, we constructed mathematical expressions for epsilon (1ucs) and epsilon (1cd), respectively. Finally, a theoretical expression for the normalized quantity epsilon (1ucs)/epsilon (1cd) was deduced. Results indicate that the theoretical solution of epsilon (1ucs)/epsilon (1cd) is a function of the shape parameter m. We determined m values in the granitic gneiss experiments presented in Part I of this paper, and then compared the experimental results with theoretical solutions for epsilon (1ucs)/epsilon (1cd). It was observed that, for a given m, the experimental results were approximately consistent with the theoretical values for the two- and three-dimensional renormalization group models. This indicates that the two- and three-dimensional renormalization group models of rock fracture processes can be used to describe the mechanical behavior of laboratory-scale rock samples. Therefore, this study has thrown some light on failure prediction for laboratory-scale rock samples. Furthermore, the results show that epsilon (1ucs)/epsilon (1cd) can be regarded as a potential indicator for predicting the failure strain of laboratory-scale rock samples.
部门归属	工程地质与水资源研究室
关键词	Renormalization group theory Stress transfer mechanism Weibull distribution Strain threshold Volumetric strain Failure prediction
WOS标题词	Science & Technology ; Technology ; Physical Sciences
DOI	10.1007/s00603-014-0681-y
资助者	China Postdoctoral Science Foundation(2014T70121 ; China Postdoctoral Science Foundation(2014T70121 ; National Natural Science Foundation of China(41302233 ; National Natural Science Foundation of China(41302233 ; Chinese Academy of Sciences(XDB10030302) ; Chinese Academy of Sciences(XDB10030302) ; 2012M520376) ; 2012M520376) ; 41030750) ; 41030750) ; China Postdoctoral Science Foundation(2014T70121 ; China Postdoctoral Science Foundation(2014T70121 ; National Natural Science Foundation of China(41302233 ; National Natural Science Foundation of China(41302233 ; Chinese Academy of Sciences(XDB10030302) ; Chinese Academy of Sciences(XDB10030302) ; 2012M520376) ; 2012M520376) ; 41030750) ; 41030750)
关键词[WOS]	UNIAXIAL COMPRESSION ; CRYSTALLINE ROCKS ; FRACTURE ; DAMAGE ; CRITICALITY
收录类别	SCI
语种	英语
资助者	China Postdoctoral Science Foundation(2014T70121 ; China Postdoctoral Science Foundation(2014T70121 ; National Natural Science Foundation of China(41302233 ; National Natural Science Foundation of China(41302233 ; Chinese Academy of Sciences(XDB10030302) ; Chinese Academy of Sciences(XDB10030302) ; 2012M520376) ; 2012M520376) ; 41030750) ; 41030750) ; China Postdoctoral Science Foundation(2014T70121 ; China Postdoctoral Science Foundation(2014T70121 ; National Natural Science Foundation of China(41302233 ; National Natural Science Foundation of China(41302233 ; Chinese Academy of Sciences(XDB10030302) ; Chinese Academy of Sciences(XDB10030302) ; 2012M520376) ; 2012M520376) ; 41030750) ; 41030750)
WOS研究方向	Engineering ; Geology
WOS类目	Engineering, Geological ; Geosciences, Multidisciplinary
WOS记录号	WOS:000360006700003
引用统计
文献类型	期刊论文
版本	出版稿
条目标识符	http://ir.iggcas.ac.cn/handle/132A11/7815
专题	工程地质与水资源研究室
作者单位	1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Shale Gas & Geoengn, Beijing 100029, Peoples R China 2.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Engn Geomech, Beijing 100029, Peoples R China 3.North China Univ Water Resources & Elect Power, Zhengzhou 450011, Peoples R China
推荐引用方式 GB/T 7714	Xue, Lei,Qi, Meng,Qin, Siqing,et al. A Potential Strain Indicator for Brittle Failure Prediction of Low-Porosity Rock: Part II-Theoretical Studies Based on Renormalization Group Theory[J]. ROCK MECHANICS AND ROCK ENGINEERING,2015,48(5):1773-1785.
APA	Xue, Lei,Qi, Meng,Qin, Siqing,Li, Guoliang,Li, Pei,&Wang, Miaomiao.(2015).A Potential Strain Indicator for Brittle Failure Prediction of Low-Porosity Rock: Part II-Theoretical Studies Based on Renormalization Group Theory.ROCK MECHANICS AND ROCK ENGINEERING,48(5),1773-1785.
MLA	Xue, Lei,et al."A Potential Strain Indicator for Brittle Failure Prediction of Low-Porosity Rock: Part II-Theoretical Studies Based on Renormalization Group Theory".ROCK MECHANICS AND ROCK ENGINEERING 48.5(2015):1773-1785.

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