The shear constitutive model of rock joints is of great significance to the stability analysis in rock engineering, and it is closely related to the normal stress () and joint roughness coefficient (JRC). However, the existing investigations seldom consider the influences of and JRC simultaneously. Therefore, a novel damage constitutive model considering the and JRC is developed in this work. In the presented model, it is assumed that the rock materials are composed of damaged and undamaged microunits, and the damage evolution law of the microunits conforms to the Weibull distribution in the shear process. Based on the proposed assumption, the constitutive relationship between shear stress and shear displacement is deduced. The evolutions of the mechanical parameters and damage variable versus and JRC are analyzed in detail. The proposed damage model that involves and JRC is verified by comparing theoretical values with the laboratory results. The results show that the damage constitutive model is in good agreement with the test results. Additionally, the influences of and JRC on the shear stress-displacement curves are studied. This work can provide a valuable theoretical method for analyzing the shear mechanical characteristics and damage evolution laws of rock joints.
AziznejadSEsmaieliKHadjigeorgiouJ, et al. (2018)
Responses of jointed rock masses subjected to impact loading. Journal of Rock Mechanics and Geotechnical Engineering10(4): 624–634.
2.
ChenYFLinHWangYX, et al. (2021)
Statistical damage constitutive model based on the Hoek–Brown criterion. Archives of Civil and Mechanical Engineering21(3): 117.
3.
DafaliasYF (1986)
Bounding surface plasticity. I: Mathematical foundation and hypoplasticity. Journal of Engineering Mechanics112(9): 966–987.
4.
DaiWLZhangQGuQX, et al. (2024)
Experimental study on the shear mechanical behavior of a rough rock joint surface under dynamic normal load boundary condition. Chinese Journal of Rock Mechanics and Engineering43(07): 1751–1762.
5.
FengWLQiaoCSNiuSJ, et al. (2020)
An improved nonlinear damage model of rocks considering initial damage and damage evolution. International Journal of Damage Mechanics29(7): 1117–1137.
6.
FernándezLEAyalaG (2004)
Constitutive modeling of discontinuities by means of discrete and continuum approximations and damage models. International Journal of Solids and Structures41(5–6): 1453–1471.
7.
GuoWZhuYXWuXL, et al. (2023)
Improved explicit integration algorithms with controllable numerical damping for Real-Time hybrid simulation. Journal of Engineering Mechanics149(4): 04023012.
8.
HanZYLiDYLiXB (2022)
Effects of axial pre-force and loading rate on mode I fracture behavior of granite. International Journal of Rock Mechanics and Mining Sciences157: 105172.
9.
HanZYLiJCWangHJ, et al. (2023)
Initiation and propagation of a single internal 3D crack in brittle material under dynamic loads. Engineering Fracture Mechanics285: 109299.
10.
HanZYLiDYZhouT, et al. (2020)
Experimental study of stress wave propagation and energy characteristics across rock specimens containing cemented mortar joint with various thicknesses. International Journal of Rock Mechanics and Mining Sciences131: 104352.
11.
HouDRongGYangJ, et al. (2016)
A new shear strength criterion of rock joints based on cyclic shear experiment. European Journal of Environmental and Civil Engineering20(2): 180–198.
12.
JiangWTLaiYMYuF, et al. (2023)
Mechanical properties and two damage models of frozen-thawed rocks under triaxial compression. International Journal of Damage Mechanics32(3): 387–423.
13.
JiangYJXiaoJTanabashiY, et al. (2004)
Development of an automated servo-controlled direct shear apparatus applying a constant normal stiffness condition. International Journal of Rock Mechanics and Mining Sciences41(2): 275–286.
14.
LiYCTangCALiD, et al. (2020)
A new shear strength criterion of three-dimensional rock joints. Rock Mechanics and Rock Engineering53(3): 1477–1483.
15.
LiKSYangSQLiuCX, et al. (2023)
Mechanical response and microscopic damage mechanism of pre-flawed sandstone subjected to monotonic and multilevel cyclic loading: A laboratory-scale investigation. International Journal of Mining Science and Technology33(12): 1487–1510.
16.
LinHDingXDYongR, et al. (2019)
Effect of non-persistent joints distribution on shear behavior. Comptes Rendus Mécanique347(6): 477–489.
17.
LiuYDaiF (2018)
A damage constitutive model for intermittent jointed rocks under cyclic uniaxial compression. International Journal of Rock Mechanics and Mining Sciences103: 289–301.
18.
LiuDQWangZZhangXY (2017)
Characteristics of strain softening of rocks and its damage constitutive model. Chinese Journal of Rock and Soil Mechanics38(10): 2901–2908.
19.
LiuHYYuanXP (2015)
A damage constitutive model for rock mass with persistent joints considering joint shear strength. Canadian Geotechnical Journal52(8): 1136–1143.
20.
LuDCLiangJYDuXL, et al. (2019)
Fractional elastoplastic constitutive model for soils based on a novel 3D fractional plastic flow rule. Computers and Geotechnics105: 277–290.
21.
LuoSGongFQPengK (2023)
Theoretical shear damage characterization of intact rock under compressive-shear stress considering energy dissipation. International Journal of Damage Mechanics32(7): 962–983.
22.
MisraA (2002)
Effect of asperity damage on shear behavior of single fracture. Engineering Fracture Mechanics69(17): 1997–2014.
23.
OishiAYagawaG (2021)
Finite elements using neural networks and a posteriori error. Archives of Computational Methods in Engineering28(5): 3433–3456.
24.
QuanXW (2020) Study on the shear mechanical properties of the joint of the multi-occurrence rock. Master’s thesis, China University of Mining and Technology.
25.
RoostaRMSadaghianiMHPakA, et al. (2006)
Rock joint modeling using a visco-plastic multilaminate model at constant normal load condition. Geotechnical and Geological Engineering24(5): 1449–1468.
26.
ShiZMLiJTWangJ, et al. (2023)
Fracture behavior and damage evolution model of sandstone containing a single pre-existing flaw under discontinuous fatigue loading. International Journal of Damage Mechanics32(1): 3–27.
27.
SowDCarvajalCBreulP, et al. (2017)
Modeling the spatial variability of the shear strength of discontinuities of rock masses: Application to a dam rock mass. Engineering Geology220: 133–143.
28.
StrękAMDudzikMMachniewiczT (2022)
Specifications for modelling of the phenomenon of compression of closed-cell aluminium foams with neural networks. Materials15(3): 1262.
29.
SumelkaWŁodygowskiT (2013)
Reduction of the number of material parameters by ANN approximation. Computational Mechanics52(2): 287–300.
30.
SumelkaWŁuczakBGajewskiT, et al. (2020)
Modelling of AAA in the framework of time-fractional damage hyperelasticity. International Journal of Solids and Structures206: 30–42.
31.
SunYFXiaoY (2017)
Fractional order plasticity model for granular soils subjected to monotonic triaxial compression. International Journal of Solids and Structures118–119: 224–234.
32.
TangZCLiuQSHuangJH (2014)
New criterion for rock joints based on three-dimensional roughness parameters. Journal of Central South University21(12): 4653–4659.
33.
TangZCWongLNY (2016)
New criterion for evaluating the peak shear strength of rock joints under different contact states. Rock Mechanics and Rock Engineering49(4): 1191–1199.
34.
TangZCZhangZFJiaoY-Y (2021)
Three-dimensional criterion for predicting peak shear strength of matched discontinuities with different joint wall strengths. Rock Mechanics and Rock Engineering54(6): 3291–3307.
35.
WangYHanJQSongZY, et al. (2022)
Fatigue damage behaviors of pre-flawed granite containing hole and fissures exposed to variable-frequency multi-level constant amplitude (VFMLCA) cyclic loads. International Journal of Damage Mechanics31(9): 1273–1298.
36.
WuXZZhengHFJiangYJ (2022)
Study on the evolution law of rock joint shear stiffness during shearing process through loading-unloading tests. Tunnelling and Underground Space Technology127: 104584.
37.
WuXZZhengHFJiangYJ, et al. (2023)
Effect of cyclic shear loading on shear performance of rock bolt under different joint roughness. Rock Mechanics and Rock Engineering56(3): 1969–1980.
38.
XiaCCTangZCXiaoWM, et al. (2014)
New peak shear strength criterion of rock joints based on quantified surface description. Rock Mechanics and Rock Engineering47(2): 387–400.
39.
XieSJHanZYHuHH, et al. (2022a)
Application of a novel constitutive model to evaluate the shear deformation of discontinuity. Engineering Geology304: 106693.
40.
XieSJHanZYLinH (2022b)
A quantitative model considering crack closure effect of rock materials. International Journal of Solids and Structures251: 111758.
41.
XieSJLinHChenYF (2022c)
New constitutive model based on disturbed state concept for shear deformation of rock joints. Archives of Civil and Mechanical Engineering23(1): 26.
42.
XieSJLinHChenYF, et al. (2020a)
A damage constitutive model for shear behavior of joints based on determination of the yield point. International Journal of Rock Mechanics and Mining Sciences128: 104269.
43.
XieSJLinHChengC, et al. (2022d)
Shear strength model of joints based on gaussian smoothing method and macro-micro roughness. Computers and Geotechnics143: 104605.
44.
XieSJLinHDuanHY (2023a)
A novel criterion for yield shear displacement of rock discontinuities based on renormalization group theory. Engineering Geology314: 107008.
45.
XieSJLinHDuanHY, et al. (2023b)
Modeling description of interface shear deformation: a theoretical study on damage statistical distributions. Construction and Building Materials394: 132052.
46.
XieSJLinHWangYX, et al. (2020c)
A statistical damage constitutive model considering whole joint shear deformation. International Journal of Damage Mechanics29(6): 988–1008.
47.
YangJRongGHouD, et al. (2016)
Experimental study on peak shear strength criterion for rock joints. Rock Mechanics and Rock Engineering49(3): 821–835.
48.
YangSQYinPFZhangYC, et al. (2019)
Failure behavior and crack evolution mechanism of a non-persistent jointed rock mass containing a circular hole. International Journal of Rock Mechanics and Mining Sciences114: 101–121.
49.
YangWDZhangQBRanjithPG, et al. (2019)
A damage mechanical model applied to analysis of mechanical properties of jointed rock masses. Tunnelling and Underground Space Technology84: 113–128.
50.
ZhangXLinHHuHH, et al. (2023)
A nonlinear rheological shear constitutive model of bolted joints considering initial damage and damage evolution. International Journal of Damage Mechanics32(9): 1077–1098.
51.
ZhangQGuQXLiT, et al. (2024)
Development and application of bidirectional dynamic cyclic shear test system for rock joints. Chinese Journal of Rock Mechanics and Engineering43(08): 1870–1882.
52.
ZhaoYLZhangLYLiaoJ, et al. (2020a)
Experimental study of fracture toughness and subcritical crack growth of three rocks under different environments. International Journal of Geomechanics20(8): 04020128.
53.
ZhaoYLZhangLYWangWJ, et al. (2020b)
Experimental study on shear behavior and a revised shear strength model for infilled rock joints. International Journal of Geomechanics20(9): 04020141.
54.
ZhengHFWuXZJiangYJ, et al. (2024)
Model studies on the effects of filling thickness and joint roughness on the shear characteristics of fully encapsulated bolts and energy-absorbing bolts. Rock Mechanics and Rock Engineering57(1): 765–777.
