Skip to main content
Top
Published in: Rock Mechanics and Rock Engineering 8/2022

23-05-2022 | Original Paper

Mechanical Properties and Energy Damage Evolution Characteristics of Coal Under Cyclic Loading and Unloading

Authors: Z. W. Ding, J. D. Jia, Q. B. Tang, X. F. Li

Published in: Rock Mechanics and Rock Engineering | Issue 8/2022

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

For systematic explorations of the mechanical properties and damage evolution law of coal samples under cyclic loading, natural coal samples of No. 3 coal seam in a mine located in Shaanxi Province were considered as the research object. The RMT-150B rock mechanics test system was used to perform uniaxial compression and uniaxial cyclic loading–unloading tests with different stress levels, and the law of energy evolution during the damage and destruction process of coal masses was successfully obtained. The experimental results indicate that compared with uniaxial compression, the mechanical behavior of coal masses under cyclic loading–unloading shows obvious cyclic hysteresis. Cyclic loading exhibits a clear enhancement effect on the strength of coal masses, and the failure mode of coal samples is more severe. Before the stress peak stage of coal samples, their elastic modulus at different stress levels first increased with the cyclic index, and then gradually stabilized. The residual deformation exhibited a rapid decrease and then tended to a stable development trend. Higher loading stress is beneficial to restrain the axial deformation of coal samples. Before coal masses are broken, the total input energy, elastic energy, and dissipation energy increase with the axial stress. The input energy increases the fastest, as it increases exponentially. This is followed by the elastic energy density, which exhibits a linear energy storage law. The dissipation energy density increases slowly, which presents a U-shaped variation trend. At the cyclic stability state, the residual elastic energy ratio is between 68 and 70%, and the accumulation and dissipation of the elastic strain energy are in a dynamic equilibrium. With increasing axial stress, the damage evolution of coal samples varies from fast to slow. The critical value of the damage variable for the different stress levels is 0.68–0.86. The research gives the characteristics of coal masses damage evolution based on energy analysis under cyclic loading, and provides a theoretical reference for deep mining coal stability analysis and dynamic disaster prevention.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Arora K, Chakraborty T, Rao KS (2019) Experimental study on stiffness degradation of rock under uniaxial cyclic sinusoidal compression loading. Rock Mech Rock Eng 52(11):4785–4797CrossRef Arora K, Chakraborty T, Rao KS (2019) Experimental study on stiffness degradation of rock under uniaxial cyclic sinusoidal compression loading. Rock Mech Rock Eng 52(11):4785–4797CrossRef
go back to reference Bagde MN, Petroš V (2005) Fatigue properties of intact sandstone samples subjected to dynamic uniaxial cyclical loading. Int J Rock Mech Min Sci 42:237–250CrossRef Bagde MN, Petroš V (2005) Fatigue properties of intact sandstone samples subjected to dynamic uniaxial cyclical loading. Int J Rock Mech Min Sci 42:237–250CrossRef
go back to reference Du K, Yang CZ, Su R, Tao M, Wang SF (2020a) Failure properties of cubic granite, marble, and sandstone specimens under true triaxial stress. Int J Rock Mech Min Sci 130:104309CrossRef Du K, Yang CZ, Su R, Tao M, Wang SF (2020a) Failure properties of cubic granite, marble, and sandstone specimens under true triaxial stress. Int J Rock Mech Min Sci 130:104309CrossRef
go back to reference Du K, Li XF, Tao M, Wang SF (2020b) Experimental study on acoustic emission (AE) characteristics and crack classification during rock fracture in several basic lab tests. Int J Rock Mech Min Sci 133:104411CrossRef Du K, Li XF, Tao M, Wang SF (2020b) Experimental study on acoustic emission (AE) characteristics and crack classification during rock fracture in several basic lab tests. Int J Rock Mech Min Sci 133:104411CrossRef
go back to reference Du K, Li XF, Yang CZ, Zhou J, Chen SJ, Manoj K (2020c) Experimental investigations on mechanical performance of rocks under fatigue loads and biaxial confinements. J Cent South Univ 27(10):2985–2998CrossRef Du K, Li XF, Yang CZ, Zhou J, Chen SJ, Manoj K (2020c) Experimental investigations on mechanical performance of rocks under fatigue loads and biaxial confinements. J Cent South Univ 27(10):2985–2998CrossRef
go back to reference Duan MK, Jiang CB, Yu H, Lu TY, Niu BW, Sun DL (2018) Experimental research on energy dissipation and seepage properties of coal under loading-unloading conditions at different stress levels. Rock Soil Mech 39:1346–1354 ((in chinese)) Duan MK, Jiang CB, Yu H, Lu TY, Niu BW, Sun DL (2018) Experimental research on energy dissipation and seepage properties of coal under loading-unloading conditions at different stress levels. Rock Soil Mech 39:1346–1354 ((in chinese))
go back to reference Elliott G, Brown E (1986) Further development of a plasticity approach to yield in porous rock. Int J Rock Mech Min Sci Geomech Abstr 23:151–156CrossRef Elliott G, Brown E (1986) Further development of a plasticity approach to yield in porous rock. Int J Rock Mech Min Sci Geomech Abstr 23:151–156CrossRef
go back to reference Gale W (2018) A review of energy associated with coal bursts. Int J Min Sci Technol 28:755–761CrossRef Gale W (2018) A review of energy associated with coal bursts. Int J Min Sci Technol 28:755–761CrossRef
go back to reference Gao L, Gao F, Zhang ZZ, Xing Y (2020) Research on the energy evolution characteristics and the failure intensity of rocks. Int J Min Sci Technol 30:705–713CrossRef Gao L, Gao F, Zhang ZZ, Xing Y (2020) Research on the energy evolution characteristics and the failure intensity of rocks. Int J Min Sci Technol 30:705–713CrossRef
go back to reference Gao MZ, Xie J, Gao YN, Wang WY, Li C, Yang BG, Liu JJ, Xie HP (2021) Mechanical behavior of coal under different mining rates: a case study from laboratory experiments to field testing. Int J Min Sci Technol 31:825–841CrossRef Gao MZ, Xie J, Gao YN, Wang WY, Li C, Yang BG, Liu JJ, Xie HP (2021) Mechanical behavior of coal under different mining rates: a case study from laboratory experiments to field testing. Int J Min Sci Technol 31:825–841CrossRef
go back to reference Gong FQ, Luo S, Li XB, Yan JY (2018) Linear energy storage and dissipation rule of red sandstone materials during the tensile failure process. Chin J Rock Mech Eng 37(2):352–363 Gong FQ, Luo S, Li XB, Yan JY (2018) Linear energy storage and dissipation rule of red sandstone materials during the tensile failure process. Chin J Rock Mech Eng 37(2):352–363
go back to reference Gong FQ, Yan JY, Luo S, Li XB (2019) Investigation on the linear energy storage and dissipation laws of rock materials under uniaxial compression. Rock Mech Rock Eng 52(11):4237–4255CrossRef Gong FQ, Yan JY, Luo S, Li XB (2019) Investigation on the linear energy storage and dissipation laws of rock materials under uniaxial compression. Rock Mech Rock Eng 52(11):4237–4255CrossRef
go back to reference Gong FQ, Wang YL, Luo S (2020) Rockburst proneness criteria for rock materials: review and new insights. J Cent South Univ 27(10):2793–2821CrossRef Gong FQ, Wang YL, Luo S (2020) Rockburst proneness criteria for rock materials: review and new insights. J Cent South Univ 27(10):2793–2821CrossRef
go back to reference Gong FQ, Wang YL, Wang ZG, Pan JF, Luo S (2021) A new criterion of coal burst proneness based on the residual elastic energy index. Int J Min Sci Technol 31:553–563CrossRef Gong FQ, Wang YL, Wang ZG, Pan JF, Luo S (2021) A new criterion of coal burst proneness based on the residual elastic energy index. Int J Min Sci Technol 31:553–563CrossRef
go back to reference Jia CJ, Xu WY, Wang RB, Wang W, Zhang JC, Yu J (2018) Characterization of the deformation behavior of fine-grained sandstone by triaxial cyclic loading. Construct Build Mater 162:113–123CrossRef Jia CJ, Xu WY, Wang RB, Wang W, Zhang JC, Yu J (2018) Characterization of the deformation behavior of fine-grained sandstone by triaxial cyclic loading. Construct Build Mater 162:113–123CrossRef
go back to reference Li N, Zhang P, Chen YS, Swoboda G (2003) Fatigue properties of cracked, saturated and frozen sandstone samples under cyclic loading. Int J Rock Mech Min Sci 40:145–150CrossRef Li N, Zhang P, Chen YS, Swoboda G (2003) Fatigue properties of cracked, saturated and frozen sandstone samples under cyclic loading. Int J Rock Mech Min Sci 40:145–150CrossRef
go back to reference Li XW, Yao ZS, Huang XW, Liu ZX, Zhao X, Mu KH (2021) Investigation of deformation and failure characteristics and energy evolution of sandstone under cyclic loading and unloading. Rock Soil Mech 42:1693–1704 ((in chinese)) Li XW, Yao ZS, Huang XW, Liu ZX, Zhao X, Mu KH (2021) Investigation of deformation and failure characteristics and energy evolution of sandstone under cyclic loading and unloading. Rock Soil Mech 42:1693–1704 ((in chinese))
go back to reference Liu XS, Ning JG, Tan YL, Gu QH (2016) Damage constitutive model based on energy dissipation for intact rock subjected to cyclic loading. Int J Rock Mech Min Sci 85:27–32CrossRef Liu XS, Ning JG, Tan YL, Gu QH (2016) Damage constitutive model based on energy dissipation for intact rock subjected to cyclic loading. Int J Rock Mech Min Sci 85:27–32CrossRef
go back to reference Miao SJ, Liu ZJ, Zhao XG, Huang ZJ (2021) Energy dissipation and damage characteristics of Beishan granite under cyclic loading and unloading. Chin J Rock Mech Eng 40:928–938 ((in chinese)) Miao SJ, Liu ZJ, Zhao XG, Huang ZJ (2021) Energy dissipation and damage characteristics of Beishan granite under cyclic loading and unloading. Chin J Rock Mech Eng 40:928–938 ((in chinese))
go back to reference Ning JG, Wang J, Jiang JQ, Hu SC, Jiang LS, Liu XS (2018) Estimation of crack initiation and propagation thresholds of confined brittle coal specimens based on energy dissipation theory. Rock Mech Rock Eng 51:119–134CrossRef Ning JG, Wang J, Jiang JQ, Hu SC, Jiang LS, Liu XS (2018) Estimation of crack initiation and propagation thresholds of confined brittle coal specimens based on energy dissipation theory. Rock Mech Rock Eng 51:119–134CrossRef
go back to reference Peng RD, Ju Y, Gao F, Xie HP, Wang P (2014) Energy analysis on damage of coal under cyclical triaxial loading and unloading conditions. J China Coal Soc 39:245–252 ((in chinese)) Peng RD, Ju Y, Gao F, Xie HP, Wang P (2014) Energy analysis on damage of coal under cyclical triaxial loading and unloading conditions. J China Coal Soc 39:245–252 ((in chinese))
go back to reference Peng K, Shi SW, Zou QL, Wen ZJ, Wang YQ, Zb J, Zheng CS (2021a) Quantitative characteristics of energy evolution of gas-bearing coal under cyclic loading and its action mechanisms on coal and gas outburst. Rock Mech Rock Eng 54:3115–3133CrossRef Peng K, Shi SW, Zou QL, Wen ZJ, Wang YQ, Zb J, Zheng CS (2021a) Quantitative characteristics of energy evolution of gas-bearing coal under cyclic loading and its action mechanisms on coal and gas outburst. Rock Mech Rock Eng 54:3115–3133CrossRef
go back to reference Peng K, Wang YQ, Zou QL, Cheng YY, Song X (2021b) Experimental study of energy dissipation characteristics and crack coalescence modes of cracked sandstone under different cyclic loading paths. Bull Eng Geol Environ 80(7):5881–5895CrossRef Peng K, Wang YQ, Zou QL, Cheng YY, Song X (2021b) Experimental study of energy dissipation characteristics and crack coalescence modes of cracked sandstone under different cyclic loading paths. Bull Eng Geol Environ 80(7):5881–5895CrossRef
go back to reference Shen JY, Wan L, Zuo JP (2019) Non-linear shear strength model for coal rocks. Rock Mech Rock Eng 52:4123–4132CrossRef Shen JY, Wan L, Zuo JP (2019) Non-linear shear strength model for coal rocks. Rock Mech Rock Eng 52:4123–4132CrossRef
go back to reference Shen RX, Chen TQ, Li TX, Li HR, Fan WJ, Hou ZH, Zhang X (2020) Study on the effect of the lower limit of cyclic stress on the mechanical properties and acoustic emission of sandstone under cyclic loading and unloading. Theor Appl Fract Mech 108:102661CrossRef Shen RX, Chen TQ, Li TX, Li HR, Fan WJ, Hou ZH, Zhang X (2020) Study on the effect of the lower limit of cyclic stress on the mechanical properties and acoustic emission of sandstone under cyclic loading and unloading. Theor Appl Fract Mech 108:102661CrossRef
go back to reference Su CD, Zhang ZH (2008) Analysis of plastic deformation and energy property of marble under pseudo-triaxial compression. Chin J Rock Mech Eng 27:273–280 ((in chinese)) Su CD, Zhang ZH (2008) Analysis of plastic deformation and energy property of marble under pseudo-triaxial compression. Chin J Rock Mech Eng 27:273–280 ((in chinese))
go back to reference Su CD, Xiong ZQ, Zhai XX, Gu M (2014) Analysis of deformation and strength characteristics of coal samples under the triaxial cyclic loading and unloading stress path. J Min Saf Eng 31(3):456–461 Su CD, Xiong ZQ, Zhai XX, Gu M (2014) Analysis of deformation and strength characteristics of coal samples under the triaxial cyclic loading and unloading stress path. J Min Saf Eng 31(3):456–461
go back to reference Wang J, Song WD, Cao S, Tan YY (2019) Mechanical properties and failure modes of stratified backfill under triaxial cyclic loading and unloading. Int J Min Sci Technol 29:809–814CrossRef Wang J, Song WD, Cao S, Tan YY (2019) Mechanical properties and failure modes of stratified backfill under triaxial cyclic loading and unloading. Int J Min Sci Technol 29:809–814CrossRef
go back to reference Xie HP, Peng RD, Ju Y (2004) Energy dissipation of rock deformation and fracture. Chin J Rock Mech Eng 23:3565–3570 ((in chinese)) Xie HP, Peng RD, Ju Y (2004) Energy dissipation of rock deformation and fracture. Chin J Rock Mech Eng 23:3565–3570 ((in chinese))
go back to reference Xie HP, Peng RD, Ju Y, Zhou HW (2005) On energy analysis of rock failure. Chin J Rock Mech Eng 24:2603–2608 ((in chinese)) Xie HP, Peng RD, Ju Y, Zhou HW (2005) On energy analysis of rock failure. Chin J Rock Mech Eng 24:2603–2608 ((in chinese))
go back to reference Xie HP, Zhou HW, Xue DJ, Wang HW, Zhang R, Gao F (2012) Research and consideration on deep coal mining and critical mining depth. J China Coal Soc 37:535–542 ((in chinese)) Xie HP, Zhou HW, Xue DJ, Wang HW, Zhang R, Gao F (2012) Research and consideration on deep coal mining and critical mining depth. J China Coal Soc 37:535–542 ((in chinese))
go back to reference Xu Y, Li CJ, Zheng QQ, Ni X, Wang QQ (2019) Analysis of energy evolution and damage characteristics of mudstone under cyclic loading and unloading. Chin J Rock Mech Eng 38:2084–2091 ((in chinese)) Xu Y, Li CJ, Zheng QQ, Ni X, Wang QQ (2019) Analysis of energy evolution and damage characteristics of mudstone under cyclic loading and unloading. Chin J Rock Mech Eng 38:2084–2091 ((in chinese))
go back to reference Yi L, Feng D (2021) A review of experimental and theoretical research on the deformation and failure behavior of rocks subjected to cyclic loading. Rock Mech Rock Eng 13(5):1203–1230 Yi L, Feng D (2021) A review of experimental and theoretical research on the deformation and failure behavior of rocks subjected to cyclic loading. Rock Mech Rock Eng 13(5):1203–1230
go back to reference Zhang MW, Meng QB (2017) Liu SD (2017) Energy evolution characteristics and distribution laws of rock materials under triaxial cyclic loading and unloading compression. Ann Mater Sci Eng 8:1–16 Zhang MW, Meng QB (2017) Liu SD (2017) Energy evolution characteristics and distribution laws of rock materials under triaxial cyclic loading and unloading compression. Ann Mater Sci Eng 8:1–16
go back to reference Zhang ZP, Xie HP, Zhang R, Zhang ZT, Gao MZ, Jia ZQ, Xie J (2019) Deformation damage and energy evolution characteristics of coal at different depths. Rock Mech Rock Eng 52:1491–1503CrossRef Zhang ZP, Xie HP, Zhang R, Zhang ZT, Gao MZ, Jia ZQ, Xie J (2019) Deformation damage and energy evolution characteristics of coal at different depths. Rock Mech Rock Eng 52:1491–1503CrossRef
go back to reference Zhao YS (2021) Retrospection on the development of rock mass mechanics and the summary of some unsolved centennial problems. Chin J Rock Mech Eng 40(7):1297–1336 ((in chinese)) Zhao YS (2021) Retrospection on the development of rock mass mechanics and the summary of some unsolved centennial problems. Chin J Rock Mech Eng 40(7):1297–1336 ((in chinese))
go back to reference Zhou TB, Qin YP, Ma QF, Liu J (2019) A constitutive model for rock based on energy dissipation and transformation principles. Arab J Geosci 12(15):492CrossRef Zhou TB, Qin YP, Ma QF, Liu J (2019) A constitutive model for rock based on energy dissipation and transformation principles. Arab J Geosci 12(15):492CrossRef
go back to reference Zong YJ, Han LJ, Meng QB, Wang YC (2020) Strength properties and evolution laws of cracked sandstone samples in re-loading tests. Int J Min Sci Technol 30:251–258CrossRef Zong YJ, Han LJ, Meng QB, Wang YC (2020) Strength properties and evolution laws of cracked sandstone samples in re-loading tests. Int J Min Sci Technol 30:251–258CrossRef
Metadata
Title
Mechanical Properties and Energy Damage Evolution Characteristics of Coal Under Cyclic Loading and Unloading
Authors
Z. W. Ding
J. D. Jia
Q. B. Tang
X. F. Li
Publication date
23-05-2022
Publisher
Springer Vienna
Published in
Rock Mechanics and Rock Engineering / Issue 8/2022
Print ISSN: 0723-2632
Electronic ISSN: 1434-453X
DOI
https://doi.org/10.1007/s00603-022-02884-x

Other articles of this Issue 8/2022

Rock Mechanics and Rock Engineering 8/2022 Go to the issue