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Composite damage constitutive model of jointed rock mass considering crack propagation length and joint friction effect

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Abstract

In order to study the damage constitutive model of rock mass with non-persistent joints in engineering practice, the assumption that the rock mesoscopic elements strength obeys the Weibull distribution function of random, the Drucker–Prager criterion is used as a representation method to describe the strength of the mesoscopic elements, and mesoscopic damage variable is deduced. Combined with the energy principle and the fracture damage theory, the macroscopic damage variable formula is deduced considering the crack propagation length and the friction effect of joint closure in the rock mass. Finally, based on the strain equivalent hypothesis of Lemaitre and considering the coupling of macro and micro defects, the composite damage variables are derived. A macro–meso composite damage constitutive model of rock mass with non-persistent joints is established based on the Drucker–Prager criterion. The theoretical constitutive curves of the model are in good agreement with the experimental constitutive curves of the non-persistent jointed rock masses. The considering effects of crack propagation length and joint closure friction effect are compared with those without considering the crack propagation length and joint closure friction effect, which finds that the former is superior to the latter, and the rationality and validity of the model is verified.

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Acknowledgments

This research is sponsored by the Fundamental Research Funds for the Central Universities of China No. C18JB00130 and the National Natural Science Foundation of China under Contract No. 51478031 and the Fundamental Research Funds for the Central Universities of China No. 144484522. The authors would like to acknowledge this support and to express their sincere gratitude to the anonymous reviewers for their hard work and remarks, which have greatly helped to improve the quality of this paper.

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

    Song Chen & Chunsheng Qiao

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  1. Song Chen
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  2. Chunsheng Qiao
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Correspondence to Song Chen.

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Chen, S., Qiao, C. Composite damage constitutive model of jointed rock mass considering crack propagation length and joint friction effect. Arab J Geosci 11, 283 (2018). https://doi.org/10.1007/s12517-018-3643-y

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