›› 2016, Vol. 37 ›› Issue (9): 2610-2616.doi: 10.16285/j.rsm.2016.09.024

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

A biaxial compression damage constitutive model for rock mass with non-persistent joints

LIU Hong-yan1, 2, XING Chuang-feng3, ZHANG Li-min4, 5   

  1. 1. School of Engineering & Technology, China University of Geosciences (Beijing), Beijing 100083; 2. School of Engineering, Tibet University, Lhasa, Xizang 850000; 3. Engineering Survey & Design Company of China Railway Seventh Group Co. Ltd., Zhengzhou, Henan 450016; 4. School of Civil and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083; 5. Hebei Chengde Iron and Steel Corporation, Chengde, Hebei 067002
  • Received:2014-10-10 Online:2016-09-12 Published:2018-06-09
  • Supported by:

    This work was supported by the National Natural Science Foundation of China (41002113, 41162009) and the Fundamental Research Founds for the Central University (2-9-2014-019).

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Abstract: Currently, most definitions of the damage variable for jointed rock mass only use geometrical factors of joints such as the length and dip angle, but cannot consider joint shear strength. Due to this limitation, a new damage variable formulae is firstly deduced to calculate rock mass with a non-persistent closed joint, based on the connection between the increment of additional strain energy caused by the existence of one joint in fracture mechanics and the emission of damaged strain energy in damage mechanics. Secondly, the calculation method of the stress intensity factor (SIF) of a single joint tip under biaxial compression is studied according to fracture mechanics theory, and then the calculation SIF formulae of KⅠ and KⅡ are obtained. Thirdly, the calculation formulae of the tip SIF of a set of one or more-rowed joints are given by considering the interaction among the joints. Finally, a biaxial compression damage constitutive model for the jointed rock mass is developed, which is further employed to analyze an example. It is found that for rock mass with a single non-persistent closed joint, the strength of rock mass is the same as that of the intact rock, and the damage is 0 when the joint dip angle is less than its internal friction angle. Furthermore, with the increase in joint dip angle, the change laws of rock mass strength and the damage with the joint dip angle are parabola with the hatch up and down, respectively. The strength of rock mass is the lowest and its damage is the highest when the joint dip angle is about 60°. With the increase of joint length, the damage of rock mass increases; while with the increase of the internal friction angle of joint, the damage of rock mass decreases. For the rock mass with a set of one-rowed non-persistent closed joint, when the total length of the joint is the same, the damage of rock mass gradually decreases with the decrease of a single joint length and the increase of the joint number, however the relationship between the decrease amplitude and the joint number exhibits nonlinear response.

Key words: rock mass with a set of non-persistently closed joints, damage variable, stress intensity factor, biaxial compression, a damage constitutive model

CLC Number: 

  • TU 452

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