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Time-dependent damage constitutive model for the marble in the Jinping II hydropower station in China

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Abstract

To accurately describe the damage creep properties of marble, especially during the acceleration creep phase, creep testing was performed on the marble in the Jinping II hydropower station in China. Based on the experimental results, a time-dependent damage constitutive model was proposed in terms of fractional calculus theory and damage variables to describe these time-dependent damage characteristics. The time-dependent constitutive equations were derived for constant loading levels below and above the marble’s long-term strength. The robustness and parameter sensitivity of the proposed model were analysed by utilizing data of creep testing. The results of the analysis showed that the proposed model could describe not only the attenuation and steady-state creep of marble but also the acceleration creep characteristics and negative exponential attenuation law of the yield strength over time when the constant loading was above the long-term strength. These are crucial to failure prevention during rock engineering construction and operating periods.

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Acknowledgments

Financial support from the National Natural Science Foundation of China under Grant No. 50909092, the Special Funds for Major State Basic Research Project under Grant No. 2010CB732006, the support of K.C. Wong Education Foundation, Hongkong and the Program for New Century Excellent Talents in University under Grant No. NCET-08-0662 are gratefully acknowledged. The authors would like to thank Gao H. and Liu J. G. for their help in the lab.

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Authors and Affiliations

  1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, 2# Xiaohongshan, Bayi Road, Wuhan, 430071, Hubei, China

    Bing-Rui Chen & Xia-Ting Feng

  2. School of Civil Engineering, Henan Polytechnic University, Jiaozuo, 454003, Henan, China

    Xiao-Jun Zhao & Hong-Bo Zhao

  3. ARC Centre of Excellence for Geotechnical Science and Engineering, Department of Civil, Surveying and Environmental Engineering, The University of Newcastle Callaghan, Newcastle, NSW, 2308, Australia

    Shan-Yong Wang

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  1. Bing-Rui Chen
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  2. Xiao-Jun Zhao
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  3. Xia-Ting Feng
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  4. Hong-Bo Zhao
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  5. Shan-Yong Wang
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Correspondence to Bing-Rui Chen.

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Chen, BR., Zhao, XJ., Feng, XT. et al. Time-dependent damage constitutive model for the marble in the Jinping II hydropower station in China. Bull Eng Geol Environ 73, 499–515 (2014). https://doi.org/10.1007/s10064-013-0542-z

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  • DOI: https://doi.org/10.1007/s10064-013-0542-z

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