Tensile failure mechanism and a constitutive model of sandstone considering water-immersed softening and mechanical damage

Banquan Zeng , Jianhang Chen , Cun Zhang , Zhixiang Song , Shaokang Wu

Int J Min Sci Technol ›› 2026, Vol. 36 ›› Issue (8) : 1675 -1690.

PDF (10369KB)
Int J Min Sci Technol ›› 2026, Vol. 36 ›› Issue (8) :1675 -1690. DOI: 10.1016/j.ijmst.2026.04.017
Research article
research-article
Tensile failure mechanism and a constitutive model of sandstone considering water-immersed softening and mechanical damage
Author information +
History +
PDF (10369KB)

Abstract

To study the tensile failure mechanism of roof rock strata in deep water-rich mines, this paper conducts water immersion treatment and Brazilian splitting AE (acoustic emission) experiments on sandstone. Energy evolution characteristics, AE characteristics, and the constitutive relationship of sandstone are explored. During the loading process, the energy conversion of rock samples shows a stepwise evolution characteristic. In the initial loading stage, stable accumulation of elastic strain energy is accompanied by primary crack closure. It causes small fluctuations in dissipated strain energy. In the middle loading stage, stored energy keeps growing, and micro-crack adjustment makes the dissipated strain energy become stable. In the later loading stage, explosive expansion of new cracks leads to a sharp rise in dissipated energy in the stage, which is dominated by plastic deformation. When elastic strain energy approaches the storage limit, energy quickly releases through crack expansion and the kinetic energy of fragments. It causes overall instability of the samples. Water penetration remarkably changes the mechanical response mechanism of the samples. Mineral cementation weakening and particle interface loosening lead to a decrease in energy storage limit. Under water–rock interaction, expansion, and dissolution of clay materials lead to crack generation. Then, cracks make the rock’s energy storage capacity continuously decline with increasing immersion time. Besides, affected by water–rock interaction, the sample failure process shows a slower energy release rate. Meanwhile, their failure mode changes from brittle transgranular splitting to ductile intergranular splitting. This indicates that crack path adjustment, which is induced by water, effectively disperses local energy accumulation. It shows ductile failure features macroscopically. Dynamic evolution of AE signals and damage accumulation form a coupled response. In the initial stage, low-frequency signals are excited by particle friction and primary crack activities. Moreover, low-frequency signals become inactive as the energy-releasing rate slows down in the middle loading stage. Moreover, secondary crack penetration in the later loading stage triggers a sharp increase in high-frequency signals. For water-immersed samples, the crack expansion threshold decreases due to pore water pressure. Meanwhile, AE intensity weakens significantly. It reveals an internal mechanism that the water softening effect inhibits the generation of high-intensity pulses by reconstructing the energy release path. A constitutive model is proposed and verified by experiments. The proposed constitutive model can respond well to the mechanical behavior of water-immersed softening and the mechanical damage of the samples. Meanwhile, it can accurately predict the critical failure stress of samples. This study provides a theoretical basis for the stability evaluation of mine roof under complex hydrogeological conditions.

Keywords

Rock strata / Water–rock interaction / Energy evolution characteristics / AE characteristics

Cite this article

Download citation ▾
Banquan Zeng, Jianhang Chen, Cun Zhang, Zhixiang Song, Shaokang Wu. Tensile failure mechanism and a constitutive model of sandstone considering water-immersed softening and mechanical damage. Int J Min Sci Technol, 2026, 36 (8) : 1675-1690 DOI:10.1016/j.ijmst.2026.04.017

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Bai QS, Tu SH. Failure analysis of a large span longwall drift under water—rich roofs and its control techniques. Eng Fail Anal 2016; 67: 15-32.

[2]

Bai QS, Tu SH, Zhang C, et al. Discrete element modeling of progressive failure in a wide coal roadway from water—rich roofs. Int J Coal Geol 2016; 167: 215-29.

[3]

Jiang B, Wang Q, Li SC, et al. The research of design method for anchor cables applied to cavern roof in water—rich strata based on upper—bound theory. Tunn Undergr Space Technol 2016; 53: 120-7.

[4]

Zhou ZF, Dong SN, Wang H, et al. Dynamic characteristics of water inflow from a coal mine’s roof aquifer. Mine Water Environ 2022; 41(3): 764—74.

[5]

He XL, Hu X, Pu ZG, et al. Damage degradation law of mechanical properties of sandstone under different water—rich states. Front Earth Sci 2024; 11: 1309523.

[6]

Jiang PF, Zhuge FM, Jing SL, et al. Roof water damage prediction and evaluation of sand—mud sedimentary tectonic strata. Geofluids 2023; 2023: 2243885.

[7]

Han PH, Zhang C, He X, et al. DEM fluid—solid coupling method for progressive failure simulation of roadways in a fault structure area with water—rich roofs. Geomech Geophys Geo—Energy Geo—Resour 2022; 8(6): 194.

[8]

Zhou K. Water richness zoning and evaluation of the coal seam roof aquifer based on AHP and multisource geological information fusion. Geofluids 2021; 2021: 1097600.

[9]

Riabokon E, Turbakov M, Kozhevnikov E, et al. The rehbinder effect in testing saturated carbonate geomaterials. Materials 2023; 16(8): 16083024.

[10]

Song H, Zhao Y, Jiang Y, et al. Experimental investigation on the tensile strength of coal: consideration of the specimen size and water content. Energies 2020; 13(24): 13246585.

[11]

Chen JH, Zeng BQ, Xu WY, et al. Mechanical behaviour and damage constitutive model of semi—circular arch tunnels with straight walls under soaking conditions. Eng Fail Anal 2025; 169(3): 1-23.

[12]

Zhang C, Wang XJ, Han PH, et al. Acoustic emission and splitting surface roughness of sandstone in a Brazilian splitting test under the influence of water saturation. Eng Geol 2024; 329: 107369.

[13]

Ma SS, Xu Y, Xu ZD, et al. Dynamic tensile characteristics of an artificial porous granite under various water saturation levels. Geomech Geophys Geo—Energy Geo—Resour 2024; 10: 164.

[14]

Wang CY, Geng JB, Zhang DM, et al. Investigation on damage evolution law of anisotropic shale at different hydraulic pressures. Energy 2023; 282: 128944.

[15]

Zhang C, Jia S, Zhao YX, et al. Weakening mechanism and infrared radiation characteristics of coal with different moisture contents in the Brazilian test. Int J Geomech 2024; 24(5): 8784.

[16]

Luo DN, Xie YQ, Lu SH, et al. Experimental study on the effects of water saturation on the microseismic and acoustic emission characteristics of sandstone in different stress states. Rock Mech Rock Eng 2022; 55(11): 6583—603.

[17]

Yin DW, Chen SJ, Chen B, et al. Experimental study on immersion effects of pressure water on the tensile characteristics of sandstone samples. Geofluids 2021; 2021: 6694881.

[18]

Meng SH, Wu Q, Zeng YF, et al. Enhancing mine groundwater system prediction: full—process simulation of mining—induced spatio—temporal variations in hydraulic conductivities via modularized modeling. Int J Min Sci Technol 2024; 34(12): 1625—42.

[19]

Yuan RF, Shen BT. Numerical modelling of the contact condition of a Brazilian disk test and its influence on the tensile strength of rock. Int J Rock Mech Min Sci 2017; 93: 54-65.

[20]

Zhang H, Lu CP, Liu B, et al. Numerical investigation on crack development and energy evolution of stressed coal—rock combination. Int J Rock Mech Min Sci 2020; 133: 104417.

[21]

Gong FQ, Zhang PL, Du K. A novel staged cyclic damage constitutive model for brittle rock based on linear energy dissipation law: modelling and validation. Rock Mech Rock Eng 2022; 55(10): 6249—62.

[22]

Cao H, Zhu DY, Bao T, et al. Applicability of rock damage model based on power law distribution. Acta Geophys 2024; 72(5): 3021-36.

[23]

Chen GQ, Li TB, Wang W, et al. Weakening effects of the presence of water on the brittleness of hard sandstone. Bull Eng Geol Environ 2019; 78(3): 1471—83.

[24]

Xie HP, Ju Y, Li LY. Criteria for strength and structural failure of rocks based on energy dissipation and energy release principles. Chin J Rock Mech Eng 2005; 24(14): 3003—10.

[25]

Xie HP, Li LY, Ju Y, et al. Energy analysis for damage and catastrophic failure of rocks. Sci China—Technol Sci 2011; 54(S1): 199-209.

[26]

Wu Y, Zhong W, Liu JF, et al. A universal direct tensile testing method for measuring the tensile strength of rocks. Int J Min Sci Technol 2024; 34(10): 1443—51.

[27]

Du K, Sun Y, Zhou J, et al. Mineral composition and grain size effects on the fracture and acoustic emission (AE) characteristics of rocks under compressive and tensile stress. Rock Mech Rock Eng 2022; 55(10): 6445-74.

[28]

Zhou YX, Xia K, Li XB, et al. Suggested methods for determining the dynamic strength parameters and mode—I fracture toughness of rock materials. Int J Rock Mech Min Sci 2012; 49: 105—12.

[29]

Li DY, Han ZY, Zhu QQ, et al. Stress wave propagation and dynamic behavior of red sandstone with single bonded planar joint at various angles. Int J Rock Mech Min Sci 2019; 117(3): 162-70.

[30]

Li X, Cao WG, Su YH. A statistical damage constitutive model for softening behavior of rocks. Eng Geol 2012; 143(8): 1-17.

[31]

Du K, Yi Y, Luo XY, et al. Novel damage constitutive models and new quantitative identification method for stress thresholds of rocks under uniaxial compression. J Cent South Univ 2024; 31(8): 2658-75.

[32]

Chen S, Qiao CS, Ye Q, et al. Comparative study on three—dimensional statistical damage constitutive modified model of rock based on power function and Weibull distribution. Environ Earth Sci 2018; 77(3): 1-8.

[33]

Wang ZL, Li YC, Wang JG. A damage—softening statistical constitutive model considering rock residual strength. Computers Geosciences 2007; 33(1): 1-9.

[34]

Li HR, Qiao YF, He MC, et al. Effect of water saturation on dynamic behavior of sandstone after wetting—drying cycles. Eng Geol 2023; 319(7): 107109.

[35]

Liu XS, Ning JJ, Yl T, et al. Damage constitutive model based on energy dissipation for intact rock subjected to cyclic loading. Int J Rock Mech Min Sci 2016; 85(1): 27-32.

[36]

Chen JH, Zeng BQ, Xu WY, et al. Deterioration mechanism and dynamic constitutive model of coal—rock assemblages considering chemical corrosion and impact damage. Int J Min Sci Technol 2025; 35(6): 837-61.

[37]

Han PH, Wang K, Pang JW, et al. Response properties of geometries of coal penetrating fracture on seepage behavior. Int J Min Sci Technol 2025; 35(2): 191-211.

PDF (10369KB)

0

Accesses

0

Citation

Detail

Sections
Recommended

/