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

Tan, Lihai; Ren, Ting; Li, Dou; Yang, Xiaohan; Wang, Gaofeng; Peng, Huaide

doi:10.3390/math9192462

Cited by 7 publications

(4 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Figure 14a presents the stress curves for both numerical and analytical solutions in the absence of an inclusion. The numerical solution is obtained through finite element numerical methods, while the analytical solution is derived using complex variable function methods [33,34]. Figure 14b,c depicts scenarios where the elastic modulus of the inclusion is less than (k e < 1) and greater than (k e > 1) the elastic modulus of the external material, respectively.…”

Section: Discussionmentioning

confidence: 99%

Fracture Evolution and Mechanical Properties of Mortar Containing Different Inclusions

Yao,

Wang,

Tan

et al. 2024

Applied Sciences

Self Cite

View full text Add to dashboard Cite

To study the influence of inclusions on the fracture evolution and mechanical properties of mortar structures, a series of uniaxial compression tests for mortar samples containing cylinder inclusions of varying mechanical properties were conducted. The digital image correlation (DIC) technique was employed for the analysis of deformation characteristics. In addition, failure modes for each sample were determined using self-documenting code. The result shows that inclusions filled in holes significantly influence the mechanical properties and failure characteristics of mortar structures as they can change the stress distribution and cracking process. Cracks are typically initiated at the boundaries of the inclusions but will only extend into the inclusion if it is less robust than the surrounding matrix. Sample strength increases significantly with an increase in sample strength when the inclusion’s strength does not surpass that of the surrounding material. Once the inclusion’s strength exceeds that of the surrounding matrix, the strength of the specimen remains relatively unchanged.

show abstract

Section: Discussionmentioning

confidence: 99%

Fracture Evolution and Mechanical Properties of Mortar Containing Different Inclusions

Yao,

Wang,

Tan

et al. 2024

Applied Sciences

Self Cite

View full text Add to dashboard Cite

show abstract

“…According to the research by Tan et al [8], triangle interpolation can be utilized to solve the problem for the parameters A k and B k of a given mapping function for the plane with a single opening, using a specific solving process not detailed in this study. Notably, since the roadway shape in this study is axisymmetric, it was assumed that the roadway itself is symmetric about the x-axis.…”

Section: Solution Of the Mapping Function For A Plane Containing A Si...mentioning

confidence: 99%

“…A considerable amount of research has been conducted on rock engineering issues of a single opening, employing the conformal mapping method in conjunction with the complex variable theory for the analysis [5,6]. Tan et al [7,8] introduced the use of the Box composite method and triangular interpolation method for solving the mapping functions of planes with tunnels of complex shapes. Xiao et al [9] conducted a tunnel construction and surrounding rock stability analysis by focusing on the rock fracture evolution during the construction and operation of straight-walled arched tunnels.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the Application of Complex Function Theory in Underground Mine Design: A Case Study

Tan,

Peng,

et al. 2023

Applied Sciences

Self Cite

View full text Add to dashboard Cite

This study, with the engineering background of the design of a stope involving a sublevel mining method in a certain underground metal mine, explored the application of stress-solving methods based on the complex variable function theory in actual engineering. Three mathematical calculation models based on the functions of a complex variable were established. Through triangle interpolation, mapping functions of a plane with a roadway section and a plane with the stope section were determined. An improved Schwarz alternating method was adopted to study the stability of the roadway and the influence of an adjacent roadway from the perspective of the stress field. In addition, in light of the distribution characteristics of a gangue in the stope, the design parameters of a pillar were optimized, with the pillar’s optimal dimensions determined. The results showed that when the magnitudes of two far-field principal stresses in the rock mass are relatively close, the distribution of the surrounding rock stress around the roadway is more uniform, and tensile stress is less likely to occur. The excavation of a neighboring roadway exacerbates to some extent the side stress of the other roadway, especially the compressive stress concentration on the side closer to the neighboring roadway. However, when the distance between the two roadways is significantly larger than the roadway size, this effect is not pronounced. In the engineering case studied in this research, the thickness of the pillar is approximately linearly positively correlated with the safety factor of the pillar approximately linearly negatively correlated with the recovery rate. Overall, this research explored the application of the complex variable function theory in an underground mine design, demonstrating its accuracy and practicality.

show abstract

“…The article published by Tan et al [22] investigated the triangle interpolation method for the calculation of the mapping functions of plates containing an opening with arbitrary shapes with an improved method for point adjudgment during iterations. The results show that the stability and failure pattern of the rock mass is correlated with stress around the opening, which is affected by the opening shape.…”

mentioning

confidence: 99%

Analytical, Numerical and Big-Data-Based Methods in Deep Rock Mechanics

et al. 2022

View full text Add to dashboard Cite

show abstract

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

Cited by 7 publications

References 24 publications

Fracture Evolution and Mechanical Properties of Mortar Containing Different Inclusions

Fracture Evolution and Mechanical Properties of Mortar Containing Different Inclusions

Investigation of the Application of Complex Function Theory in Underground Mine Design: A Case Study

Analytical, Numerical and Big-Data-Based Methods in Deep Rock Mechanics

Contact Info

Product

Resources

About