R. Galindo, Jose Andres, A. Lara, Bin Xu, Z. Cao, Yuanqiang Cai
{"title":"具有非关联流动规律的岩石结构面抗剪强度的理论模型","authors":"R. Galindo, Jose Andres, A. Lara, Bin Xu, Z. Cao, Yuanqiang Cai","doi":"10.12989/GAE.2021.24.4.307","DOIUrl":null,"url":null,"abstract":"In an earlier publication (Serrano et al. 2014), the theoretical basis for evaluating the shear strength in rock joints was presented and used to derive an equation that governs the relationship between tangential and normal stresses on the joint during slippage between the joint faces. In this paper, the theoretical equation is applied to two non-linear failure criteria by using non-associated flow laws, including the modified Hoek and Brown and modified Mohr-Coulomb equations. The theoretical model considers the geometric dilatancy, the instantaneous friction angle, and a parameter that considers joint surface roughness as dependent variables. This model uses a similar equation structure to the empirical law that was proposed by Barton in 1973. However, a good correlation with the empirical values and, therefore, Barton's equation is necessary to incorporate a non-associated flow law that governs breakage processes in rock masses and becomes more significant in highly fractured media, which can be induced in a rock joint. A linear law of dilatancy is used to assess the importance of the non-associated flow to obtain very close values for different roughness states, so the best results are obtained for null material dilatancy, which considers significant changes that correspond to soft rock masses or altered zones of weakness.","PeriodicalId":12602,"journal":{"name":"Geomechanics and Engineering","volume":"24 1","pages":"307"},"PeriodicalIF":2.5000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Theoretical model for the shear strength of rock discontinuities with non-associated flow laws\",\"authors\":\"R. Galindo, Jose Andres, A. Lara, Bin Xu, Z. Cao, Yuanqiang Cai\",\"doi\":\"10.12989/GAE.2021.24.4.307\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In an earlier publication (Serrano et al. 2014), the theoretical basis for evaluating the shear strength in rock joints was presented and used to derive an equation that governs the relationship between tangential and normal stresses on the joint during slippage between the joint faces. In this paper, the theoretical equation is applied to two non-linear failure criteria by using non-associated flow laws, including the modified Hoek and Brown and modified Mohr-Coulomb equations. The theoretical model considers the geometric dilatancy, the instantaneous friction angle, and a parameter that considers joint surface roughness as dependent variables. This model uses a similar equation structure to the empirical law that was proposed by Barton in 1973. However, a good correlation with the empirical values and, therefore, Barton's equation is necessary to incorporate a non-associated flow law that governs breakage processes in rock masses and becomes more significant in highly fractured media, which can be induced in a rock joint. A linear law of dilatancy is used to assess the importance of the non-associated flow to obtain very close values for different roughness states, so the best results are obtained for null material dilatancy, which considers significant changes that correspond to soft rock masses or altered zones of weakness.\",\"PeriodicalId\":12602,\"journal\":{\"name\":\"Geomechanics and Engineering\",\"volume\":\"24 1\",\"pages\":\"307\"},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Geomechanics and Engineering\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.12989/GAE.2021.24.4.307\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, CIVIL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Geomechanics and Engineering","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.12989/GAE.2021.24.4.307","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
引用次数: 0
摘要
在早期的一篇论文(Serrano et al. 2014)中,提出了评估岩石节理抗剪强度的理论基础,并用于推导出一个方程,该方程用于控制节理面之间滑动时节理上的切向应力和法向应力之间的关系。本文采用非关联流动规律将理论方程应用于两种非线性失效判据,包括修正的Hoek和Brown方程和修正的Mohr-Coulomb方程。该理论模型考虑了几何剪胀、瞬时摩擦角和以节理表面粗糙度为因变量的参数。该模型使用了与巴顿在1973年提出的经验法则相似的方程结构。然而,与经验值的良好相关性,因此,巴顿方程是必要的,以纳入一个非关联的流动规律,控制岩体中的破坏过程,在高度断裂的介质中变得更加重要,这可以在岩石节理中引起。利用剪胀率的线性规律来评估非关联流动的重要性,以获得不同粗糙度状态下非常接近的值,因此零材料剪胀率得到了最好的结果,它考虑了对应于软岩体或改变的软弱带的显著变化。
Theoretical model for the shear strength of rock discontinuities with non-associated flow laws
In an earlier publication (Serrano et al. 2014), the theoretical basis for evaluating the shear strength in rock joints was presented and used to derive an equation that governs the relationship between tangential and normal stresses on the joint during slippage between the joint faces. In this paper, the theoretical equation is applied to two non-linear failure criteria by using non-associated flow laws, including the modified Hoek and Brown and modified Mohr-Coulomb equations. The theoretical model considers the geometric dilatancy, the instantaneous friction angle, and a parameter that considers joint surface roughness as dependent variables. This model uses a similar equation structure to the empirical law that was proposed by Barton in 1973. However, a good correlation with the empirical values and, therefore, Barton's equation is necessary to incorporate a non-associated flow law that governs breakage processes in rock masses and becomes more significant in highly fractured media, which can be induced in a rock joint. A linear law of dilatancy is used to assess the importance of the non-associated flow to obtain very close values for different roughness states, so the best results are obtained for null material dilatancy, which considers significant changes that correspond to soft rock masses or altered zones of weakness.
期刊介绍:
The Geomechanics and Engineering aims at opening an easy access to the valuable source of information and providing an excellent publication channel for the global community of researchers in the geomechanics and its applications.
Typical subjects covered by the journal include:
- Analytical, computational, and experimental multiscale and interaction mechanics-
Computational and Theoretical Geomechnics-
Foundations-
Tunneling-
Earth Structures-
Site Characterization-
Soil-Structure Interactions