Analytical Stress Solution and Numerical Mechanical Behavior of Rock Mass Containing an Opening under Different Confining Stress Conditions

Lihai Tan, Ting Ren, Linming Dou, Xiaohan Yang, Gaofeng Wang and Huaide Peng
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Lihai Tan: School of Resource Environment and Safety Engineering, University of South China, Hengyang 412001, China
Ting Ren: School of Civil, Mining and Environmental Engineering, University of Wollongong, Wollongong, NSW 2522, Australia
Linming Dou: School of Mines, China University of Mining and Technology, Xuzhou 221116, China
Xiaohan Yang: School of Civil, Mining and Environmental Engineering, University of Wollongong, Wollongong, NSW 2522, Australia
Gaofeng Wang: School of Mines, China University of Mining and Technology, Xuzhou 221116, China
Huaide Peng: School of Resource Environment and Safety Engineering, University of South China, Hengyang 412001, China

Mathematics, 2021, vol. 9, issue 19, 1-18

Abstract: In this study, the triangle interpolation method for the calculation of mapping functions of plates containing an opening with arbitrary shapes is investigated with an improved method for point adjudgment during iterations. Afterwards, four kinds of openings with typical shapes are considered and the mapping functions for them are calculated, based on which the influence of calculation parameters such as iteration time and the number of terms on the accuracy of mapping function is discussed. Finally, the stress around an inverted U-shaped opening and around an arched opening under different far-field stress conditions is calculated and the effect of opening shape and lateral pressure coefficient on stress distribution and rock mechanical behaviors is further analyzed combined with the discrete element method (DEM) numerical simulation. The result shows that the stability and failure pattern of the rock mass is correlated with the stress around the opening, which is affected by the opening shape. The existence of opening also greatly reduces the enhancing influence of confining stress on rock specimen.

Keywords: complex variable method; conformal mapping; triangle interpolation; stress analytical solution; DEM numerical simulation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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