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The strain characteristics and corresponding model of rock materials under uniaxial cyclic load/unload compression and their deformation and fatigue damage analysis

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Abstract

The fatigue characteristics of rock materials are usually studied by cyclic load–unload tests, and the deformation and damage development reflect their weakening characteristics. In this paper, according to the mechanical characteristics of rock materials during load/unload cycles, the total strain can be separated into three types, that is, elastic strain, viscoelastic strain, and viscoplastic strain. The elastic strain is linear with stress, and viscoelastic strain exhibits a special behavior after unloading, the viscoplastic strain also displays its own unique features and reflects the damage in rocks. Based on their unique characteristics, we establish elastic, viscoelastic, and viscoplastic submodels, then an elastic-visco-plastic model can be obtained by connecting three submodels in series, which can reflect the development of the law of different strains. In order to verify the reliability of the model, red sandstone samples are selected for cyclic load/unload tests. The results show that the collected strain–time data are well fitted by the model. In addition, the characteristics of strain–time curves imply the deformation and damage development of rocks during load/unload cycles.

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References

  1. Saidi, M., Gabor, A.: Adaptation of the strain measurement in textile reinforced cementitious matrix composites by distributed optical fibre and 2D digital image correlation. Strain 56, e12335 (2020). https://doi.org/10.1111/str.12335

    Article  Google Scholar 

  2. Hendriks, J.N., Wensrich, C.M., Wills, A.: A Bayesian approach to triaxial strain tomography from high-energy X-ray diffraction. Strain 56, e12341 (2020). https://doi.org/10.1111/str.12341

    Article  Google Scholar 

  3. Song, X., Leotoing, L., Guines, D., Ragneau, E.: Effect of continuous strain path changes on forming limit strains of DP600. Strain 55, e12329 (2019). https://doi.org/10.1111/str.12329

    Article  Google Scholar 

  4. Zhang, C.Y., Zou, P., Wang, Y.X., Jiang, T.T., Cao, P.: An elasto-visco-plastic model based on stress functions for deformation and damage of water saturated rocks during the freezing-thawing process. Constr. Build. Mater. 250, 118862 (2020)

    Google Scholar 

  5. Zhang, C.Y., Wang, Y.X., Jiang, T.T.: The propagation mechanism of an oblique straight crack in a rock sample and the effect of osmotic pressure under in-plane biaxial compression. Arab. J. Geosci. 13, 736 (2020)

    Google Scholar 

  6. Wang, Y.X., Shan, S.B., Zhang, C.S., Guo, P.P.: Seismic response of tunnel lining structure in a thick expansive soil stratum. Tunn. Undergr. Space Technol. 88, 250–259 (2019)

    Google Scholar 

  7. Wang, Y.X., Guo, P.P., Lin, H., Li, X., Zhao, Y.L., Yuan, B.X., Liu, Y., Cao, P.: Numerical analysis of fiber-reinforced soils based on the equivalent additional stress concept. Int. J. Geomech. 19(11), 04019122 (2019)

    Google Scholar 

  8. Cao, R.H., Yao, R.B., Meng, J.J., Lin, Q.B., Lin, H., Li, S.: Failure mechanism of non-persistent jointed rock-like specimens under uniaxial loading: laboratory testing. Int. J. Rock Mech. Min. 132, 104341 (2020)

    Google Scholar 

  9. Cao, R.H., Yao, R.B., Hu, T., Wang, C.S., Li, K.H., Meng, J.J.: Failure and mechanical behavior of transversely isotropic rock under compression-shear tests: laboratory testing and numerical simulation. Eng. Fract. Mech. 241, 107389 (2021)

    Google Scholar 

  10. Cao, R.H., Wang, C.S., Yao, R.B., Tao, H., Lei, D.X., Lin, H., Zhao, Y.L.: Effects of cyclic freeze-thaw treatments on the fracture characteristics of sandstone under different fracture modes: laboratory testing. Theor. Appl. Fract. Mech. 109, 102738 (2020)

    Google Scholar 

  11. Chen, Y., Wen, G.P., Hu, J.H.: Analysis of deformation characteristics of fully grouted rock bolts under pull-and shear loading. Rock Mech. Rock Eng. 53(7), 2981–2993 (2020)

    Google Scholar 

  12. Zhao, Y.L., Zhang, L.Y., Liao, J., Wang, W.J., Liu, Q., Tang, L.: Experimental study of fracture toughness and subcritical crack growth of three rocks under different environments. Int. J. Geomech. 20(8), 04020128 (2020)

    Google Scholar 

  13. Zhao, Y.L., Zhang, L.Y., Wang, W.J., Liu, Q., Tang, L.M., Cheng, G.: Experimental study on shear behavior and a revised shear strength model for infilled rock joints. Int. J. Geomech. 20(9), 04020141 (2020)

    Google Scholar 

  14. Zhao, Y.L., Zhang, C.S., Wang, Y.X., Lin, H.: Shear-related roughness classification and strength model of natural rock joint based on fuzzy comprehensive evaluation. Int. J. Rock Mech. Min. (2020). https://doi.org/10.1016/j.ijrmms.2020.104550

    Article  Google Scholar 

  15. Zhao, Y.L., Wang, Y.X., Wang, W., Tang, L., Liu, Q., Cheng, G.: Modeling of rheological fracture behavior of rock cracks subjected to hydraulic pressure and far field stresses. Theor. Appl. Fract. Mech. 101, 59–66 (2019)

    Google Scholar 

  16. Lin, H., Yang, H., Wang, Y.X., Zhao, Y.L., Cao, R.H.: Determination of the stress field and crack initiation angle of an open flaw tip under uniaxial compression. Theor. Appl. Fract. Mech. 104, 102358 (2019)

    Google Scholar 

  17. Chen, Y.F., Lin, H.: Consistency analysis of Hoek–Brown and equivalent Mohr-coulomb parameters in calculating slope safety factor. Bull. Eng. Geol. Environ. 78(6), 4349–4361 (2019)

    Google Scholar 

  18. Xie, S.J., Lin, H., Chen, Y.F., Yong, R., Xiong, W., Du, S.: A damage constitutive model for shear behavior of joints based on determination of the yield point. Int. J. Rock Mech. Min. 128, 104269 (2020)

    Google Scholar 

  19. Xie, S.J., Lin, H., Wang, Y.X., Chen, Y.F., Xiong, W., Zhao, Y.L., Du, S.G.: A statistical damage constitutive model considering whole joint shear deformation. Int. J. Damage Mech. 29(6), 988–1008 (2020)

    Google Scholar 

  20. Zheng, Y., Chen, C., Meng, F., Zhang, H.N., Xia, K.Z., Chen, X.B.: Assessing the stability of rock slopes with respect to block-flexure toppling failure using a force-transfer model and genetic algorithm. Rock Mech. Rock Eng. 53(8), 3433–3445 (2020)

    Google Scholar 

  21. Zheng, Y., Chen, C., Meng, F., Liu, T., Xia, K.: Assessing the stability of rock slopes with respect to flexural toppling failure using a limit equilibrium model and genetic algorithm. Comput. Geotech. 124, 103619 (2020)

    Google Scholar 

  22. Zheng, Y., Chen, C., Liu, T., Zhang, H., Sun, C.: Theoretical and numerical study on the block-flexure toppling failure of rock slopes. Eng. Geol. 263, 105309 (2019)

    Google Scholar 

  23. Zheng, Y., Chen, C., Liu, T., Song, D., Meng, F.: Stability analysis of anti-dip bedding rock slopes locally reinforced by rock bolts. Eng. Geol. 251, 228–240 (2019)

    Google Scholar 

  24. Zheng, Y., Chen, C., Liu, T., Zhang, H., Xia, K., Liu, F.: Study on the mechanisms of flexural toppling failure in anti-inclined rock slopes using numerical and limit equilibrium models. Eng. Geol. 237, 116–128 (2018)

    Google Scholar 

  25. Lemaitre, J., Chaboche, J.L.: Mechanics of Solid Materials. Cambridge University Press, Cambridge (1992)

    MATH  Google Scholar 

  26. Guo, J., Feng, G.R., Qi, T.Y., Wang, P.F., Yang, J., Li, Z., et al.: Dynamic mechanical behavior of dry and water saturated igneous rock with acoustic emission monitoring. Shock Vib. 2348394 (2018). https://doi.org/10.1155/2018/2348394

  27. Dx, L., Ey, W., Kong, X.G., Jia, H.S., Wang, D.M., Muhammad, A.: Damage precursor of construction rocks under uniaxial cyclic loading tests analyzed by acoustic emission. Constr. Build. Mater. 206, 169–178 (2019)

    Google Scholar 

  28. Wang, M.M., Tan, C.X., Meng, J., Yang, B.C., Li, Y.: Crack classification and evolution in anisotropic shale during cyclic loading tests by acoustic emission. J. Geophys. Eng. 14(4), 930–938 (2017)

    Google Scholar 

  29. Zhang, M.W., Meng, Q.B., Liu, S.D., Qian, D.Y., Zhang, N.: Impacts of cyclic loading and unloading rates on acoustic emission evolution and felicity effect of instable rock mass. Adv. Mater. Sci. Eng. 8365396 (2018). https://doi.org/10.1155/2018/8365396

  30. Meng, Q.B., Zhang, M.W., Han, L.J., Pu, H., Chen, Y.L.: Acoustic emission characteristics of red sandstone specimens under uniaxial cyclic loading and unloading compression. Rock Mech. Rock Eng. 51(4), 969–988 (2018)

    Google Scholar 

  31. Zhao, G.M., Wang, C., Liang, D.X.: Comparative experimental studies of acoustic emission characteristics of sandstone and mudstone under the impacts of cyclic loading and unloading. Int. J. Distrib. Sens. Netw. 14(8), 155014771879555 (2018). https://doi.org/10.1177/1550147718795552

    Article  Google Scholar 

  32. Wang, C.L., Hou, X.L., Liao, Z.F., Chen, Z., Lu, Z.J.: Experimental investigation of predicting coal failure using acoustic emission energy and load–unload response ratio theory. J. Appl. Geophys. 161, 76–83 (2019)

    Google Scholar 

  33. Liu, X.F., Wang, X.R., Wang, E.Y., Liu, Z.T., Xu, X.Y.: Study on ultrasonic response to mechanical structure of coal under loading and unloading condition. Shock Vib. 7643451 (2017). https://doi.org/10.1155/2017/7643451

  34. Li, H.L., Tang, J.R., Lu, Y.Y., Zhou, L., Han, S.B., Dai, R.: Experimental measurements of shale fracture conductivity under cyclic loading. Arab. J. Sci. Eng. 43(11), 6315–6324 (2018)

    Google Scholar 

  35. Zhang, M.W., Meng, Q.B., Liu, S.D.: Energy evolution characteristics and distribution laws of rock materials under triaxial cyclic loading and unloading compression. Adv. Mater. Sci. Eng. 5471571 (2017). https://doi.org/10.1155/2017/5471571

  36. Li, D.Y., Sun, Z., Xie, T., Li, X.B., Ranjith, P.G.: Energy evolution characteristics of hard rock during triaxial failure with different loading and unloading paths. Eng. Geol. 228, 270–281 (2017)

    Google Scholar 

  37. Song, D.Z., Wang, E.Y., Liu, J.: Relationship between EMR and dissipated energy of coal rock mass during cyclic loading process. Saf. Sci. 50(4), 751–760 (2012)

    Google Scholar 

  38. Meng, Q.B., Zhang, M.W., Han, L.J., Pu, H., Nie, T.Y.: Effects of acoustic emission and energy evolution of rock specimens under the uniaxial cyclic loading and unloading compression. Rock Mech. Rock Eng. 49(10), 3873–3886 (2016)

    Google Scholar 

  39. Yang, D.F., Zhang, D.Y., Niu, S.J., Dang, Y.H., Feng, W.L., Ge, S.S.: Experiment and study on mechanical property of sandstone post-peak under the cyclic loading and unloading. Geotech. Geol. Eng. 36(3), 1609–1620 (2018)

    Google Scholar 

  40. Liu, Y., Dai, F., Fan, P.X., Xu, N.W., Dong, L.: Experimental investigation of the influence of joint geometric configurations on the mechanical properties of intermittent jointed rock models under cyclic uniaxial compression. Rock Mech. Rock Eng. 50(6), 1453–1471 (2017)

    Google Scholar 

  41. Liu, X.S., Ning, J.G., Tan, Y.L., Gu, Q.H.: Damage constitutive model based on energy dissipation for intact rock subjected to cyclic loading. Int. J. Rock Mech. Min. 85, 27–32 (2016)

    Google Scholar 

  42. Heap, M.J., Vinciguerra, S., Meredith, P.G.: The evolution of elastic moduli with increasing crack damage during cyclic stressing of a basalt from Mt. Etna volcano. Tectonophysics 471(1–2), 153–160 (2009)

    Google Scholar 

  43. Li, Q.M., Liang, Y.P., Zou, Q.L.: Seepage and damage evolution characteristics of gas-bearing coal under different cyclic loading-unloading stress paths. Processes 6(10), 190 (2018)

    Google Scholar 

  44. Jia, C.J., Xu, W.Y., Wang, R.B., Wang, W., Zhang, J.C., Yu, J.: Characterization of the deformation behavior of fine-grained sandstone by triaxial cyclic loading. Constr. Build. Mater. 162, 113–123 (2018)

    Google Scholar 

  45. Zhang, J.C., Zhou, S.H., Fang, L.G., Xu, X.H.: Effects of axial cyclic loading at constant confining pressures on deformational characteristics of anisotropic argillite. J. Cent. South Univ. 20(3), 799–811 (2013)

    Google Scholar 

  46. Hiltscher, R., Carlsson, A., Olsson, T.: Determination of the deformation properties of bedrock under turbine foundations. Rock Mech. Rock Eng. 17(1), 37–49 (1984)

    Google Scholar 

  47. Song, H.P., Zhang, H., Kang, Y.L., Huang, G.Y., Fu, D.H., Qu, C.Y.: Damage evolution study of sandstone by cyclic uniaxial test and digital image correlation. Tectonophysics 608, 1343–1348 (2013)

    Google Scholar 

  48. Liu, M.X., Liu, E.L.: Dynamic mechanical properties of artificial jointed rock samples subjected to cyclic triaxial loading. Int. J. Rock Mech. Min. 98, 54–66 (2017)

    Google Scholar 

  49. Liang, Y.P., Li, Q.M., Gu, Y.L., Zou, Q.L.: Mechanical and acoustic emission characteristics of rock: effect of loading and unloading confining pressure at the postpeak stage. J. Nat. Gas Sci. Eng. 44, 54–64 (2017)

    Google Scholar 

  50. Zhu, X.J., Li, Y.Y., Wang, C.X., Sun, X.Z., Liu, Z.X.: Deformation failure characteristics and loading rate effect of sandstone under uniaxial cyclic loading and unloading. Geotech. Geol. Eng. 37(3), 1147–1154 (2019)

    Google Scholar 

  51. Liu, Y., Dai, F.: A damage constitutive model for intermittent jointed rocks under cyclic uniaxial compression. Int. J. Rock Mech. Min. 103, 289–301 (2018)

    Google Scholar 

  52. Xiao, J.Q., Ding, D.X., Jiang, F.L., Xu, G.: Fatigue damage variable and evolution of rock subjected to cyclic loading. Int. J. Rock Mech. Min. 47(3), 461–468 (2010)

    Google Scholar 

  53. Guo, Y.T., Yang, C.H., Mao, H.J.: Mechanical properties of Jintan mine rock salt under complex stress paths. Int. J. Rock Mech. Min. 56, 54–61 (2012)

    Google Scholar 

  54. Sun, B., Zhu, Z.D., Shi, C., Luo, Z.H.: Dynamic mechanical behavior and fatigue damage evolution of sandstone under cyclic loading. Int. J. Rock. Mech. Min. 94, 82–89 (2017)

    Google Scholar 

  55. Chen, Y.Q., Watanabe, K., Kusuda, H., Kusaka, E., Mabuchi, M.: Crack growth in Westerly granite during a cyclic loading test. Eng. Geol. 117(3–4), 189–197 (2011)

    Google Scholar 

  56. Ma, L.J., Liu, X.Y., Wang, M.Y., Xu, H.F., Hua, R.P., Fan, P.X., et al.: Experimental investigation of the mechanical properties of rock salt under triaxial cyclic loading. Int. J. Rock Mech. Min. 62, 34–41 (2013)

    Google Scholar 

  57. Zhang, D.M., Yang, Y.S., Chu, Y.P., Zhang, X., Xue, Y.G.: Influence of loading and unloading velocity of confining pressure on strength and permeability characteristics of crystalline sandstone. Results Phys. 9, 1363–1370 (2018)

    Google Scholar 

  58. Erarslan, N., Williams, D.J.: The damage mechanism of rock fatigue and its relationship to the fracture toughness of rocks. Int. J. Rock Mech. Min. 56, 15–26 (2012)

    Google Scholar 

  59. Erarslan, N.: Microstructural investigation of subcritical crack propagation and Fracture Process Zone (FPZ) by the reduction of rock fracture toughness under cyclic loading. Eng. Geol. 208, 181–190 (2016)

    Google Scholar 

  60. Voznesenskii, A.S., Krasilov, M.N., Kutkin, Y.O., Tavostin, M.N., Osipov, Y.V.: Features of interrelations between acoustic quality factor and strength of rock salt during fatigue cyclic loadings. Int. J. Fatigue 97, 70–78 (2017)

    Google Scholar 

  61. Liang, W.G., Zhang, C.D., Gao, H.B., Yang, X.Q., Xu, S.G., Zhao, Y.S.: Experiments on mechanical properties of salt rocks under cyclic loading. J. Rock Mech. Geotech. Eng. 4(1), 54–61 (2012)

    Google Scholar 

  62. Fathi, A., Moradian, Z., Rivard, P., Ballivy, G.: Shear mechanism of rock joints under pre-peak cyclic loading condition. Int. J. Rock Mech. Min. 83, 197–210 (2016)

    Google Scholar 

  63. Niktabar, S.M.M., Rao, K.S., Shrivastava, A.K.: Effect of rock joint roughness on its cyclic shear behavior. J. Rock Mech. Geotech. Eng. 9(6), 1071–1084 (2017)

    Google Scholar 

  64. Zhang, C., Tu, S.H., Zhang, L.: Analysis of broken coal permeability evolution under cyclic loading and unloading conditions by the model based on the Hertz contact deformation principle. Transp. Porous Med. 119(3), 739–754 (2017)

    MathSciNet  Google Scholar 

  65. Zhang, C., Zhang, L.: Permeability characteristics of broken coal and rock under cyclic loading and unloading. Nat. Resour. Res. 28(3), 1055–1069 (2019)

    MathSciNet  Google Scholar 

  66. Wang, H.L., Xu, W.Y., Cai, M., Xiang, Z.P., Kong, Q.: Gas permeability and porosity evolution of a porous sandstone under repeated loading and unloading conditions. Rock Mech. Rock Eng. 50(8), 2071–2083 (2017)

    Google Scholar 

  67. Faoro, I., Vinciguerra, S., Marone, C., Elsworth, D., Schubnel, A.: Linking permeability to crack density evolution in thermally stressed rocks under cyclic loading. Geophys. Res. Lett. 40(11), 2590–2595 (2013)

    Google Scholar 

  68. Vaneghi, R.G., Ferdosi, B., Okoth, A.D., Kuek, B.: Strength degradation of sandstone and granodiorite under uniaxial cyclic loading. J. Rock Mech. Geotech. Eng. 10(1), 117–126 (2018)

    Google Scholar 

  69. Yang, Y.J., Xing, L.Y., Duan, H.Q., Deng, L., Xue, Y.C.: Fatigue damage evolution of coal under cyclic loading. Arab. J. Geosci. 11(18), 560 (2018)

    Google Scholar 

  70. Voznesenskii, A.S., Kutkin, Y.O., Krasilov, M.N., Komissarov, A.A.: Predicting fatigue strength of rocks by its interrelation with the acoustic quality factor. Int. J. Fatigue 77, 194–198 (2015)

    Google Scholar 

  71. Voznesenskii, A.S., Kutkin, Y.O., Krasilov, M.N., Komissarov, A.A.: The influence of the stress state type and scale factor on the relationship between the acoustic quality factor and the residual strength of gypsum rocks in fatigue tests. Int. J. Fatigue 84, 53–58 (2016)

    Google Scholar 

  72. Jiang, D.Y., Fan, J.Y., Chen, J., Li, L., Cui, Y.: A mechanism of fatigue in salt under discontinuous cycle loading. Int. J. Rock Mech. Min. 86, 255–260 (2016)

    Google Scholar 

  73. Fan, J.Y., Chen, J., Jiang, D.Y., Ren, S., Wu, J.X.: Fatigue properties of rock salt subjected to interval cyclic pressure. Int. J. Fatigue 90, 109–115 (2016)

    Google Scholar 

  74. Fan, J.Y., Chen, J., Jiang, D.Y., Chemenda, A., Chen, J.C., Ambre, J.: Discontinuous cyclic loading tests of salt with acoustic emission monitoring. Int. J. Fatigue 94, 140–144 (2017)

    Google Scholar 

  75. Momeni, A., Karakus, M., Khanlari, G.R., Heidari, M.: Effects of cyclic loading on the mechanical properties of a granite. Int. J. Rock Mech. Min. 77, 89–96 (2015)

    Google Scholar 

  76. Song, R., Bai, Y.M., Zhang, J.P., Jiang, D.Y., Yang, C.H.: Experimental investigation of the fatigue properties of salt rock. Int. J. Rock Mech. Min. 64, 68–72 (2013)

    Google Scholar 

  77. Liu, Y., Dai, F., Feng, P., Xu, N.W.: Mechanical behavior of intermittent jointed rocks under random cyclic compression with different loading parameters. Soil Dyn. Earthq. Eng. 113, 12–24 (2018)

    Google Scholar 

  78. Liu, X.R., Kou, M.M., Lu, Y.M., Liu, Y.Q.: An experimental investigation on the shear mechanism of fatigue damage in rock joints under pre-peak cyclic loading condition. Int. J. Fatigue 106, 175–184 (2018)

    Google Scholar 

  79. Chen, C.F., Xu, T., Heap, M.J., Baud, P.: Influence of unloading and loading stress cycles on the creep behavior of Darley Dale Sandstone. Int. J. Rock Mech. Min. 112, 55–63 (2018)

    Google Scholar 

  80. Pouya, A., Zhu, C., Arson, C.: Micro–macro approach of salt viscous fatigue under cyclic loading. Mech. Mater. 93, 13–31 (2016)

    Google Scholar 

  81. Zhao, B.Y., Liu, D.Y., Li, Z.Y., Huang, W., Dong, Q.: Mechanical behavior of shale rock under uniaxial cyclic loading and unloading condition. Adv. Civ. Eng. 9750480 (2018). https://doi.org/10.1155/2018/9750480

  82. Khaledi, K., Mahmoudi, E., Datcheva, M., Schanz, T.: Stability and serviceability of underground energy storage caverns in rock salt subjected to mechanical cyclic loading. Int. J. Rock Mech. Min. 86, 115–131 (2016)

    Google Scholar 

  83. Liang, F.L., Sauceau, M., Dusserre, G., Arlabosse, P.: A uniaxial cyclic compression method for characterizing the rheological and textural behaviors of mechanically dewatered sewage sludge. Water Res. 113, 171–180 (2017)

    Google Scholar 

  84. Liang, F.L., Sauceau, M., Dusserre, G., Dirion, J.L., Arlabosse, P.: Modelling of the rheological behavior of mechanically dewatered sewage sludge in uniaxial cyclic compression. Water Res. 147, 413–421 (2018)

    Google Scholar 

  85. Zhang, C.Y., Cao, P., Pu, C.Z., Liu, J., Wen, P.H.: Integrated identification method of rheological model of sandstone in Sanmenxia bauxite. Trans. Nonferrous Met. Soc. 24(6), 1859–1865 (2014)

    Google Scholar 

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Acknowledgements

This paper gets its funding from Project (Grant NO. Z020015) supported by Open Research Fund of State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences; Project (KFJJ20) supported by State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology; Project (42077249) supported by National Natural Science Foundation of China; The authors wish to acknowledge these supports.

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Authors and Affiliations

  1. School of Resources and Environmental Engineering, Wuhan University of Technology, Wuhan, 430070, China

    Chunyang Zhang & Bo Ke

  2. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, 430071, China

    Chunyang Zhang & Hang Ruan

  3. State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China, Hefei, 230009, China

    Yixian Wang

  4. School of Civil Engineering, Hefei University of Technology, Hefei, 230009, China

    Yixian Wang

  5. School of Resources and Safety Engineering, Central South University, Changsha, 410083, China

    Hang Lin

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  1. Chunyang Zhang
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Zhang, C., Wang, Y., Ruan, H. et al. The strain characteristics and corresponding model of rock materials under uniaxial cyclic load/unload compression and their deformation and fatigue damage analysis. Arch Appl Mech 91, 2481–2496 (2021). https://doi.org/10.1007/s00419-021-01899-0

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