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Energy Dissipation-Based Method for Fatigue Life Prediction of Rock Salt

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Rock Mechanics and Rock Engineering Aims and scope Submit manuscript

Abstract

The fatigue test for rock salt is conducted under different stress amplitudes, loading frequencies, confining pressures and loading rates, from which the evaluation rule of the dissipated energy is revealed and analysed. The evolution of energy dissipation under fatigue loading is divided into three stages: the initial stage, the second stage and the acceleration stage. In the second stage, the energy dissipation per cycle remains stable and shows an exponential relation with the stress amplitude; the failure dissipated energy only depends on the mechanical behaviour of the rock salt and confining pressure, but it is immune to the loading conditions. The energy dissipation of fatigued rock salt is discussed, and a novel model for fatigue life prediction is proposed on the basis of energy dissipation. A simple model for evolution of the accumulative dissipated energy is established. Its prediction results are compared with the test results, and the proposed model is validated.

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Abbreviations

E o :

Total dissipated energy

E d :

Energy dissipated by storage wall damage

E h :

Heat energy mainly dissipated by chemistry, conduction and radiation

W id :

Dissipated energy of cycle i

ɛ i :

Strain amplitude of cycle i

A :

Stress amplitude

W id :

Dissipated energy of cycle i

\(W_{\text{d}}^{{i{ + }1}}\) :

Dissipated energy of cycle i + 1

DER:

Dissipated energy ratio

w d :

Stable energy dissipation per cycle

μ :

Loading rate

v :

Loading frequency

a, b and c :

Curve-fitting parameters for the rock salt wd curve

N :

Cycle number

N f :

Fatigue life

W f :

Accumulative dissipated energy when the specimen fractures

ξ :

Material constant \(\xi = \frac{{w_{\text{d}} N_{\text{f}} }}{{W_{\text{f}} }}\)

W 1f :

Accumulative dissipated energy at the initial stage of fatigue loading

W 2f :

Accumulative dissipated energy at the second stage of fatigue loading

W 3f :

Accumulative dissipated energy at the acceleration stage of fatigue loading

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Acknowledgements

This study is sponsored by the National Natural Science Foundation of China (Nos. 51179153 and 11572246). The financial support provided by these sponsors is greatly appreciated.

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Authors and Affiliations

  1. Institute of Geotechnical Engineering, Xi’an University of Technology, Xi’an, 710048, China

    Mingming He, Caihui Zhu, Yunsheng Chen & Ning Li

  2. College of Information Engineering and Automation, Kunming University of Science and Technology, Kunming, 650500, China

    Bingqian Huang

  3. School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou, 730070, China

    Ning Li

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  1. Mingming He
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  2. Bingqian Huang
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  3. Caihui Zhu
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  4. Yunsheng Chen
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  5. Ning Li
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Correspondence to Mingming He.

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He, M., Huang, B., Zhu, C. et al. Energy Dissipation-Based Method for Fatigue Life Prediction of Rock Salt. Rock Mech Rock Eng 51, 1447–1455 (2018). https://doi.org/10.1007/s00603-018-1402-8

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  • DOI: https://doi.org/10.1007/s00603-018-1402-8

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