Linear Energy Storage and Dissipation Laws of Rocks Under Preset Angle Shear Conditions
Tóm tắt
The processes of deformation and failure in rocks are unavoidably accompanied by the absorption, storage, dissipation, and release of energy. To explore energy allocation during rock shear fracturing, two series of single loading and unloading preset angle shear tests at inclined angles of 60° and 50° were performed on red sandstone and granite by varying the experimental unloading level. The area integral approach was employed to interpret the load–displacement responses of the rock specimens via calculation of the energy parameters (referring to the external input energy, internal elastic energy and internal dissipation energy). The interpretations of the results revealed that the increase in the experimental unloading level nonlinearly increases the internal elastic energy, internal dissipation energy and external input energy; these relationships can be described by quadratic functions. It was also realized that under different experimental unloading levels, not only the internal elastic energy but also the internal dissipation energy is closely proportional to the external input energy. The proportional energy relationship can be used to quantify the internal elastic energy and internal dissipation energy at any expected experimental unloading levels, and a real-time calculation model for the internal elastic energy and internal dissipation energy in the pre-peak duration (including the peak point) was introduced. Meanwhile, an invariable feature for the ultimate internal elastic index Wed (the ratio of ultimate internal elastic energy to peak internal dissipation energy) was captured via quantitative analysis. Additionally, the energy allocation manner and transfer mechanisms of rocks bearing varied loading forms (including uniaxial compression, Brazilian splitting, point load, semicircular bending, and preset angle shear) were also comprehensively compared considering three basic rock fracture modes: the tensile, shear, and hybrid failure (mixed tensile-shear) modes. Thus, the proportional distribution patterns of internal elastic energy and internal dissipation energy or the linear correlations among the three energy parameters can be universally observed during the failure of homogeneous rocks, despite distinct loading forms under one-dimensional stress conditions.
Tài liệu tham khảo
Bhattacharya K, Ortiz M, Ravichandran G (1998) Energy-based model of compressive splitting in heterogeneous brittle solids. J Mech Phys Solids 46(10):2171–2181
Chen XG, Zhang QY (2012) Research on the energy dissipation and release in the process of rock shear failure. J Min Saf Eng 27(2):179–184
Chen Z, He C, Ma G, Xu G, Ma C (2018) Energy damage evolution mechanism of rock and its application to brittleness evaluation. Rock Mech Rock Eng 52:1265–1274
Crosta GB, Frattini P, Fusi N (2007) Fragmentation in the Val Pola rock avalanche. Italian Alps J Geophys Res 112:F01006
Dong X, Karrech A, Basarir H, Elchalakani M, Seibi A (2019) Energy dissipation and storage in underground mining operations. Rock Mech Rock Eng 52(1):229–245
Ferro G (2006) On dissipated energy density in compression for concrete. Eng Fract Mech 73(11):1510–1530
Gong FQ, Luo S, Yan JY (2018) Energy storage and dissipation evolution process and characteristics of marble in three tension-type failure tests. Rock Mech Rock Eng 51(11):3613–3624
Gong FQ, Yan JY, Li XB, Luo S (2019a) A peak-strength strain energy storage index for bursting proneness of rock materials. Int J Rock Mech Min Sci 117:76–89
Gong FQ, Yan JY, Luo S, Li XB (2019b) Investigation on the linear energy storage and dissipation laws of rock materials under uniaxial compression. Rock Mech Rock Eng 52(11):4237–4255
Gong FQ, Luo S, Lin G, Li XB (2020) Evaluation of shear strength parameters of rocks by preset angle shear, direct shear and triaxial compression tests. Rock Mech Rock Eng. https://doi.org/10.1007/s00603-020-02050-1
Hajdarwish A, Shakoor A (2006) Predicting the shear strength parameters of mudrocks. Geol Soc Lond 2:607
He M, Huang B, Zhu C, Chen Y, Li N (2018) Energy dissipation-based method for fatigue life prediction of rock salt. Rock Mech Rock Eng 51(5):1447–1455
Hou P, Gao F, Yang Y, Zhang X, Zhang Z (2016) Effect of the layer orientation on mechanics and energy evolution characteristics of shales under uniaxial loading. Int J Min Sci Technol 26(5):857–862
Huang D, Li Y (2014) Conversion of strain energy in triaxial unloading tests on marble. Int J Rock Mech Min Sci 66(1):160–168
Jiang Y, Xiao J, Tanabashi Y, Mizokami T (2004) Development of an automated servo-controlled direct shear apparatus applying a constant normal stiffness condition. Int J Rock Mech Min Sci 41:275–286
Karaman K, Cihangir F, Ercikdi B, Kesimal A, Demirel S (2015) Utilization of the Brazilian test for estimating the uniaxial compressive strength and shear strength parameters. J S Afr Inst Min Metal 115(3):185–192
Konietzky H, Fruhwirt T, Luge H (2012) A new large dynamic rock mechanical direct shear box device. Rock Mech Rock Eng 45:427–432
Li ZY, Wu G, Huang TZ, Liu Y (2018) Variation of energy and criteria for strength failure of shale under traixial cyclic loading. Chin J Rock Mech Eng 37(3):663–670
Li J, Fan P, Wang M (2019a) The stress conditions of rock core disking based on an energy analysis. Rock Mech Rock Eng 52(2):465–470
Li JC, Rong LF, Li HB, Hong SN (2019b) An SHPB test study on stress wave energy attenuation in jointed rock masses. Rock Mech Rock Eng 52:403–420
Locat P, Couture R, Leroueil S, Locat J, Jaboyedoff M (2006) Fragmentation energy in rock avalanches. Can Geotech J 43:830–851
Mcsaveney MJ, Davies TR (2009) Surface energy is not one of the energy losses in rock comminution. Eng Geol 109(1):109–113
Meng QB, Zhang MW, Ha LJ, Pu H, Nie TY (2016) Effects of acoustic emission and energy evolution of rock specimens under the uniaxial cyclic loading and unloading compression. Rock Mech Rock Eng 49(10):1–14
Munoz H, Taheri A, Chanda EK (2016a) Fracture energy-based brittleness index development and brittleness quantification by pre-peak strength parameters in rock uniaxial compression. Rock Mech Rock Eng 49(12):4587–4606
Munoz H, Taheri A, Chanda EK (2016b) Rock drilling performance evaluation by an energy dissipation based rock brittleness index. Rock Mech Rock Eng 49(8):3343–3355
Peng RD, Ju Y, Wang JG, Xie HP, Gao F, Mao LT (2015) Energy dissipation and release during coal failure under conventional triaxial compression. Rock Mech Rock Eng 48(2):509–526
Ramamurthy T (2001) Shear strength response of some geological materials in triaxial compression. Int J Rock Mech Min Sci 38(5):683–697
Ramsey JM, Chester FM (2004) Hybrid fracture and the transition from extension fracture to shear fracture. Nature 428(6978):63–66
Rezaei M, Hossaini MF, Majdi A (2015a) Determination of longwall mining-induced stress using the strain energy method. Rock Mech Rock Eng 48(6):2421–2433
Rezaei M, Hossaini MF, Majdi A (2015b) A time-independent energy model to determine the height of destressed zone above the mined panel in longwall coal mining. Tunnel Underg Space Technol 47:81–92
Seidel JP, Haberfield CM (1995) The application of energy principles to the determination of the sliding resistance of rock joints. Rock Mech Rock Eng 28(4):211–226
Singh SP (1988) Burst energy release index. Rock Mech Rock Eng 21(2):149–155
Song F, Su NN, Feng JW, Luo CM, Chen JJ, Song MF (2014) Quantitative prediction of fracture density based on friction effect. J China Univ Petrol (Edn Nat Sci) 38(6):1–8
Sujatha V, Kishen JMC (2003) Energy release rate due to friction at bimaterial interface in dams. J Eng Mech 129(7):793–800
Tsoutrelis CE, Exadaktylos GE (1993) Effect of rock discontinuities on certain rock strength and fracture energy parameters under uniaxial compression. Geotech Geol Eng 11(2):81–105
Wang M, Li J, Man L, Huang H (2016) Study on the characteristic energy factor of the deep rock mass under weak disturbance. Rock Mech Rock Eng 49(8):3165–3173
Wasantha PL, Ranjith PG, Shao SS (2014) Energy monitoring and analysis during deformation of bedded-sandstone: use of acoustic emission. Ultrasonics 54(1):217
Xie HP, Li LY, Peng RD, Ju Y (2009) Energy analysis and criteria for structural failure of rocks. J Rock Mech Geotech Eng 1(1):11–20
Xie HP, Li LY, Ju Y, Peng RD, Yang YM (2011) Energy analysis for damage and catastrophic failure of rocks. Sci China Tech Sci 54(Suppl 1):199–209
Zhang JW, Shi Q, Liu ZJ, Li XW, Zhao JL (2015) Analysis of energy dissipation for stagger arrangement roadway surrounding rock. J Min Saf Eng 32(6):929–935
Zhang Z, Xie H, Zhang R, Zhang Z, Gao M, Jia Z, Xie J (2018) Deformation damage and energy evolution characteristics of coal at different depths. Rock Mech Rock Eng 52(5):1491–1503