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Nonlinear Constitutive Model of Rock Joint in Geological Structure and Application of Implicit Return Mapping Algorithm

  • Research Article-Civil Engineering
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Abstract

As a common geological structure, rock joints have a great influence on the mechanical properties and stability of rock mass engineering. The shear constitutive model of the rock joint and its calculation methods have played an important role in theoretical and experimental research. Most of the existing elastic–plastic shear constitutive models of the rock joint are simplified to linear form or only considering hardening behavior, while the shear test results show that the post-peak nonlinear softening curve is the most common form for shear curves. Therefore, based on Barton shear strength criterion, the shear stress softening is characterized by the change of the post-peak joint roughness coefficient (JRC), and an increment elastic–plastic constitutive model reflecting the shear stress softening is established. According to the constraint condition of constant normal stress, the increment model of the normal deformation with shear deformation is obtained. Based on principle of the implicit return mapping algorithm, an algorithm for the shear softening elastic–plastic constitutive model in the stress space is established. The applicability and rationality of the model and algorithm are verified by a large number of the joint shear experiment results under different conditions. The established elastic–plastic constitutive model provides an effective reference for correctly evaluating the shear deformation characteristics of the joint.

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Acknowledgements

This work presented in this paper was funded by National Natural Science Foundation of China (No. 51478031, 51278046). Thanks to Beijing Jiaotong University's International Academic Communication Writing Center for the modification of the language of this paper. The authors are grateful to the editor and reviewer for discerning comments on this paper.

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Authors and Affiliations

  1. School of Civil Engineering, Beijing Jiaotong University, Beijing, 100044, China

    Wenlin Feng, Chunsheng Qiao & Ming-Yu Feng

  2. School of Civil Engineering, University of Birmingham, Birmingham, B15 2TT, UK

    Tan Wang

  3. Pingdingshan Tianan Coal Industry Co., Ltd., China Pingmei Shenma Energy and Chemical Industry Group Co., Ltd., Pingdingshan, 467000, China

    Ziqi Jia

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  1. Wenlin Feng
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Feng, W., Qiao, C., Feng, MY. et al. Nonlinear Constitutive Model of Rock Joint in Geological Structure and Application of Implicit Return Mapping Algorithm. Arab J Sci Eng 47, 4041–4057 (2022). https://doi.org/10.1007/s13369-021-05851-w

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