Simulation Study on the Size Effect of Secant Modulus of Rocks Containing Rough Joints

Mingzhi Sun, Gaojian Hu (), Jianli Hu, Huanqing Zhang, Yu Li, Weiping Wang and Guangbin Zhang
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Mingzhi Sun: State Key Laboratory of Safety and Health for Metal Mines, Sinosteel Maanshan General Institute of Mining Research Co., Ltd., Maanshan 243000, China
Gaojian Hu: School of Civil Engineering, Shaoxing University, Shaoxing 312000, China
Jianli Hu: Shangdong Gold Design Consulting Co., Ltd., Yantai 264100, China
Huanqing Zhang: Natural Resources and Planning Bureau of Yishui County, Yishui 276400, China
Yu Li: School of Civil Engineering, Shaoxing University, Shaoxing 312000, China
Weiping Wang: State Key Laboratory of Safety and Health for Metal Mines, Sinosteel Maanshan General Institute of Mining Research Co., Ltd., Maanshan 243000, China
Guangbin Zhang: Yantai Blue Ocean Mine Engineering Design Co., Ltd., Yantai 264100, China

Sustainability, 2022, vol. 14, issue 23, 1-13

Abstract: The secant modulus reflects the ability of rocks to resist deformation, and it is mostly used to evaluate rock strength and deformation evolution. Due to the existence of rough joints in rocks, the secant modulus changes according to rock size. Therefore, it is very important to effectively obtain the secant modulus to evaluate rough-jointed rock deformation. In this paper, the regression analysis method is used, and 25 sets of simulation models are set up to discuss the influence of joint roughness and rock size on the rock secant modulus. The research shows that the secant modulus increases exponentially with the increase in rock size, and it increases as a power function with the increase in joint roughness. The characteristic size of the secant modulus increases exponentially with the increase in joint roughness, also as a power function. This paper gives the specific forms of these four relationships. The establishment of these relationships enables the prediction and calculation of the secant modulus and provides guidance for rock deformation analysis.

Keywords: roughness; secant modulus; size effect; mathematical model; characteristic secant modulus (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2022
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