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Experimental Technology for the Shear Strength of the Series-Scale Rock Joint Model

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Abstract

The primary objective of this work is to improve our understanding of the scale effect of the joint shear behavior. Attempts are made to combine different proposed methods with the multiscale joint shear test. First, a new type of rock-like material made from a mixture of raw materials is used to simulate rock joints. Then a new sampling method is used with the progressive coverage statistical method for the representative sampling of actual joints, and an inverse controlling technology is designed with an invented series of multiscale molds for the construction of a similar surface model in series scale (100 mm × 100 mm to 1000 mm × 1000 mm). Finally, the independently developed multiscale direct shear tester is used to measure the shear behavior of joint replicas. The quality of results shows the capacity of this experimental technology in investigating the scale effect of the joint shear behavior.

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Abbreviations

\(\sigma\) :

Compressive strength (MPa)

\(E\) :

Elastic modulus (GPa)

\(\rho\) :

Density (KN/m3)

\(\Delta d\) :

Propulsion spaces (mm)

\(L\) :

Side length of the original square joint (mm)

\(l\) :

Side length of the target sample size (mm)

\(\theta_{\max }^{ * } /\left( {C + 1} \right)\) :

Three-dimensional roughness parameter

\(\theta_{\max }^{ * }\) :

Maximum apparent dip angle in the shear direction (°)

\(C\) :

Roughness fitting coefficient

\({\text{A}}_{0}\) :

Maximum potential contact area

\(W\) :

Distribution proportion

\(n\) :

Sampling quantity

\(h\) :

Layer number

\(S^{2}\) :

Variance

\(W_{h}\) :

Distribution proportion when the layer number is \(h\)

\(S_{h}^{2}\) :

Variance when the layer number is \(h\)

\(V\) :

Mean variance

\(t\) :

Upper quantile of the standard normal distribution

\(\gamma\) :

Permissible error

\(\overline{Y}\) :

Population mean

\(N\) :

Total sample number

\(p\) :

Eigenvalue for the stratified samples at each sampling size

\(p_{h}\) :

Eigenvalue for the stratified samples at each sampling size in h layer.

\(x_{hn} {\kern 1pt} {\kern 1pt}\) :

\(\theta_{\max }^{ * } /\left( {C + 1} \right)\) Values of the nth joint sample in h layer.

\(K\) :

Cluster center data

\(K_{{_{h} }}\) :

Cluster centers data in h layer.

\(\delta\) :

Relative error

\(L_{s}\) :

Mean \(\theta_{\max }^{ * } /\left( {C + 1} \right)\) of the samples

\(L_{p}\) :

Mean \(\theta_{\max }^{ * } /\left( {C + 1} \right)\) of the population

\(L_{m}\) :

Mean \(\theta_{\max }^{ * } /\left( {C + 1} \right)\) of the produced joints

\(L_{o}\) :

Mean \(\theta_{\max }^{ * } /\left( {C + 1} \right)\) of the prototype joints

\(\sigma_{n}\) :

Low-normal stress (MPa)

\(\tau_{p}\) :

Peak shear stress (MPa)

\(\tau_{r}\) :

Residual shear strength (MPa)

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Acknowledgements

This study is funded by the National Natural Science Foundation of China (Grant Nos. 41572299 and 41427802), Natural Science Foundation of Zhejiang Province (Grant No. LY18D020003). Their support is highly appreciated.

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Authors and Affiliations

  1. School of Civil Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing, 312000, People’s Republic of China

    Man Huang, Chenjie Hong, Shigui Du & Zhanyou Luo

  2. Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, LA, 70803, USA

    Man Huang

  3. Institute of Geotechnical Engineering, Zhejiang University of Science and Technology, Hangzhou, 310023, People’s Republic of China

    Zhanyou Luo

Authors
  1. Man Huang
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  2. Chenjie Hong
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  3. Shigui Du
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  4. Zhanyou Luo
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Correspondence to Zhanyou Luo.

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Huang, M., Hong, C., Du, S. et al. Experimental Technology for the Shear Strength of the Series-Scale Rock Joint Model. Rock Mech Rock Eng 53, 5677–5695 (2020). https://doi.org/10.1007/s00603-020-02241-w

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  • DOI: https://doi.org/10.1007/s00603-020-02241-w

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