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Experimental Study to Design an Analog Material for Jinping Marble with High Strength, High Brittleness and High Unit Weight and Ductility

  • Guo-Qiang Zhu
  • Xia-Ting Feng
  • Yang-Yi Zhou
  • Zheng-Wei Li
  • Cheng-Xiang Yang
  • Yao-Hui Gao
Original Paper
  • 79 Downloads

Abstract

The rockburst and spalling problems encountered in the Jinping Underground Laboratory are to be investigated using 3-D physical model testing. New similarity relationships for the brittleness, brittle–ductile transition and ductility characteristics of deep hard rock are first established based on the characteristics of the deep rock mass, thereby providing guidance for the development of analog materials with new characteristics that are appropriate for investigating deep rock engineering disasters via large-scale 3-D physical model tests. Achieving similarity simultaneously among the multiple physical–mechanical properties of deep hard rock constitutes the major challenge of research on analog materials. Consequently, a new method for designing analog materials by controlling the aggregate characteristics is proposed. The test results indicate that the aggregates of the analog materials can be controlled to achieve properties that are similar to those of the original rock. The newly developed analog material exhibits basic mechanical parameters and properties that are similar to those of Jinping marble, including high strength, high brittleness, and high unit weight in addition to brittle–ductile transition and ductility characteristics and deformation and failure modes. The new analog material successfully simulates the major physical–mechanical properties of Jinping marble and overcomes the limitations of preexisting methods, which develop analog materials via cementing agents, in which the achievement of similarity simultaneously among multiple properties is impossible.

Keywords

Large-scale 3-D physical model test Jinping marble Analog material Similarity relationship High brittleness Brittle–ductile transition 

List of Symbols

\({\sigma _{\text{c}}}\)

Uniaxial compressive strength

\({\sigma _{\text{t}}}\)

Uniaxial tensile strength

E

Elastic modulus

c

Cohesion

\(\phi\)

Internal friction angle

\(\varepsilon\)

Strain

γ

Unit weight

\({\sigma _{\text{s}}}\)

Yield stress

\({\varepsilon _{\text{s}}}\)

Yield strain

p

Prototype

m

Model

k

Brittleness coefficient

\(\xi\)

Brittle–ductile transition coefficient

\({\sigma _1}\)

Maximum principal stress in conventional triaxial compression test

\({\sigma _3}\)

Confining pressure in conventional triaxial compression test

\({\sigma _{\text{f}}}\)

Peak strength

\({\sigma _{{\text{res}}}}\)

Residual strength

\(\eta\)

Stress reduction coefficient

\({C_\sigma }\)

Similarity constant of stress

\({C^{\prime}_\sigma }\)

Similarity constant of stress in the plastic phase

CE

Similarity constant of elastic modulus

Cc

Similarity constant of cohesion

CL

Similarity constant of geometry

\({C_\phi }\)

Similarity constant of internal friction angle

\({C_\varepsilon }\)

Similarity constant of strain

\({C_\gamma }\)

Similarity constant of unit weight

\({C_k}\)

Similarity constant of brittleness coefficient

\({C_\xi }\)

Similarity constant for brittle–ductile transition

\({C_\eta }\)

Similarity constant of stress reduction coefficient

Notes

Acknowledgements

The study is financially supported by the National Natural Science Foundation of China under Grant no. 51621006 and the China Postdoctoral Science Foundation (Grant no. 2017M621150). The authors also sincerely thank the kind assistance provided by Mr. Jiguang Liu, Mr. Hua Zhang, Dr. Shufeng Pei, Dr. Jie Cui, Dr. Meizhu Zhang, Mr. Di Zhang, Mr. Yong Han and Mr. Liangjie Gu.

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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  • Guo-Qiang Zhu
    • 1
    • 3
  • Xia-Ting Feng
    • 1
    • 2
  • Yang-Yi Zhou
    • 2
  • Zheng-Wei Li
    • 2
  • Cheng-Xiang Yang
    • 2
  • Yao-Hui Gao
    • 1
    • 3
  1. 1.State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil MechanicsChinese Academy of SciencesWuhanChina
  2. 2.Key Laboratory of Ministry of Education on Safe Mining of Deep Metal MinesNortheastern UniversityShenyangChina
  3. 3.University of Chinese Academy of SciencesBeijingChina

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