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Modeling of Rock Joints Under Cyclic Loading Conditions Using Discontinuous Deformation Analysis

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Abstract

The shear strength of rock joints is an important factor to be considered when analyzing the stability of jointed rock mass. Rock joints tend to have smaller shear resistances in the reverse shearing than that of the forward shearing. A conceptual model describing the general shear behavior of rock joints under cyclic loading and the Barton–Bandis joint model considering the surface roughness degradation are implemented into the two-dimensional discontinuous deformation analysis (DDA) model. The modified DDA model is empirically validated by cyclic shear tests on two types of rock joints. Numerical simulations agree well with the experimental results, indicating that the DDA model is capable of describing the varying shear behaviors of rock joints subjected to cyclic loading conditions.

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Abbreviations

\(R_{\text{n}}\) :

Normal component of the contact force

\(k_{\text{n}}\) :

Stiffness of the normal springs

\(d_{\text{n}}\) :

Penetration in normal direction

\(R_{\text{s}}\) :

Shear component of the contact force

\(k_{\text{s}}\) :

Stiffness of the shear springs

\(d_{\text{s}}\) :

Relative shear displacement of the contact

\(\emptyset\) :

Joint friction angle

\(c\) :

Cohesion per unit length

\(l_{\text{c}}\) :

Computed length of the contact

\(\sigma_{\text{n}}\) :

Normal stress acting on the joint

\(\emptyset_{\text{r}}\) :

Residual friction angle

\(\emptyset_{\text{b}}\) :

Base friction angle

M :

Damage parameter

\(R_{{{\text{s}},{\text{peak}}}}\) :

Peak shear force of the angle-edge contact

\(d_{{{\text{s}},{\text{peak}}}}\) :

Shear displacement required to reach the peak shear strength \(R_{{{\text{s}},{\text{peak}}}}\)

DDA:

Discontinuous deformation analysis

JRC:

Joint roughness coefficient

JCS:

Joint compressive strength

\({\text{JRC}}_{\text{mob}}\) :

Mobilized joint roughness

\({\text{JRC}}_{\text{peak}}\) :

Peak JRC value before degradation

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Authors and Affiliations

  1. Key Laboratory of Transportation Tunnel Engineering, Ministry of Education, School of Civil Engineering, Southwest Jiaotong University, Chengdu, 610031, People’s Republic of China

    Shuqi Ma & Chuan He

  2. School of Civil and Environmental Engineering, Nanyang Technological University, Singapore, 639789, Singapore

    Shuqi Ma, Zhiye Zhao & Wen Nie

  3. State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu, 610059, People’s Republic of China

    Xing Zhu

  4. State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing, 400044, People’s Republic of China

    Zhenyu Zhang

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  1. Shuqi Ma
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  2. Chuan He
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  3. Zhiye Zhao
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  4. Wen Nie
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  5. Xing Zhu
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Correspondence to Zhiye Zhao.

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Ma, S., He, C., Zhao, Z. et al. Modeling of Rock Joints Under Cyclic Loading Conditions Using Discontinuous Deformation Analysis. Rock Mech Rock Eng 50, 1205–1215 (2017). https://doi.org/10.1007/s00603-016-1158-y

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