Abstract
Fatigue tests under high static pre-stress loads can provide meaningful results to better understand the time-dependent failure characteristics of rock and rock-like materials. However, fatigue tests under high static pre-stress loads are rarely reported in previous literature. In this study, the rock specimens were loaded with a high static pre-stress representing 70% and 80% of the uniaxial compressive strength (UCS), and cyclic fatigue loads with a low amplitude (i.e., 5%, 7.5% and 10% of the UCS) were applied. The results demonstrate that the fatigue life decreased as the static pre-stress level or amplitude of fatigue loads increased for different rock types. The high static pre-stress affected the fatigue life greatly when the static pre-stress was larger than the damage stress of rocks in uniaxial compression tests. The accumulative fatigue damage exhibited three stages during the fatigue failure process, i.e., crack initiation, uniform velocity, and acceleration, and the fatigue modulus showed an “S-type” change trend. The lateral and volumetric strains had a much higher sensitivity to the cyclic loading and could be used to predict fatigue failure characteristics. It was observed that volumetric strain \(\varepsilon _{{\text{v}}}\) = 0 is a threshold for microcracks coalescence and is an important value for estimating the fatigue life.
Article highlights
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Fatigue mechanical performance of high static pre-stressed rocks were evaluated.
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The results demonstrate that the fatigue life decreased as the static pre-stress level increased and the static pre-stress affected the fatigue life more than the amplitude of fatigue loads.
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The volumetric strain of zero before fatigue loading is a threshold for fatigue failure of rocks under high static stress.
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Abbreviations
- σ s :
-
Static stress
- σ :
-
Stress
- UCT:
-
Uniaxial compression test
- UFT:
-
Uniaxial fatigue test
- σ 1 :
-
The major principal stress
- σ 2 :
-
The intermediate principal stress
- σ ucs :
-
Uniaxial compressive strength (UCS)
- σ max :
-
Peak value of fatigue cyclic loads
- σ min :
-
Valley value of fatigue cyclic loads
- σ mea :
-
Average value of fatigue cyclic loads
- µ :
-
Poisson’s ratio of elastic stage in UCT
- σ fs :
-
Fatigue strength
- n :
-
Number of fatigue loads
- εl :
-
Lateral strain
- E y :
-
Young’s modulus in UCT
- σ x :
-
Initial stress point of elastic stage in UCT
- σ y :
-
End stress point of elastic stage in UCT
- σ 50 :
-
Stress level with value equals to half of σucs in UCT
- E dtm :
-
Dynamic tangent modulus
- σ d :
-
Dynamic stress
- ε:
-
Strain
- t :
-
Loading time
- VL :
-
Wave velocity of rock specimen before testing
- σ 3 :
-
The minor principal stress
- W f :
-
Wave form
- T fl :
-
Fatigue life
- ε max :
-
Axial strain on peak value of fatigue cyclic loads
- ε min :
-
Axial strain on valley value of fatigue cyclic loads
- ε mea :
-
Axial strain on average value of fatigue cyclic loads
- µ c :
-
Poisson’s ratio during the whole testing process
- f :
-
Frequency of fatigue loads
- ε a :
-
Axial strain
- ε v :
-
Volumetric strain
- E s :
-
Secant modulus in UCS test
- ε x :
-
Initial strain point of elastic stage in UCT
- ε y :
-
End strain point of elastic stage in UCT
- ε 50 :
-
Strain point at the σ50 in UCT
- E dsm :
-
Dynamic secant modulus
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Acknowledgements
This paper was supported by the National Natural Science Foundation of China (Grant Nos. 51774326, 11772357 and 41807259), as well as by the Open Fund of Mining Disaster Prevention and Control Ministry Key Laboratory at Shandong University of Science and Technology (Grant No. MDPC201917).
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Du, K., Sun, Y., Zhou, J. et al. Low amplitude fatigue performance of sandstone, marble, and granite under high static stress. Geomech. Geophys. Geo-energ. Geo-resour. 7, 68 (2021). https://doi.org/10.1007/s40948-021-00266-1
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DOI: https://doi.org/10.1007/s40948-021-00266-1