Skip to main content
Log in

Deformation and Damage Failure Behavior of Mudstone Specimens Under Single-Stage and Multi-stage Triaxial Compression

  • Original Paper
  • Published:
Rock Mechanics and Rock Engineering Aims and scope Submit manuscript

Abstract

In tunnel engineering, due to the effect of excavation disturbance, the surrounding rock mass can produce an excavation damage zone with different damage extents. Therefore, knowledge of rock deformation and damage behavior is especially significant for the design of deep tunnel support. However to date, a few experiments and numerical simulations have been conducted to investigate the deformation and mechanical failure behavior of damaged rocks. Therefore, in this research, multi-stage triaxial compression test was used to investigate the mechanical behavior of mudstone specimens with different damage extents by experiment and two-dimensional particle flow code. First, a group of micro-parameters was calibrated by single-stage triaxial compression experiments of mudstone, and the numerical results agree very well with the experimental results. Then, multi-stage triaxial compression experiment and discrete element modeling of mudstone specimens were carried out. The more axial strain the specimens sustained, the less strength they had (because the degree of damage increased). A damage variable was defined by the ratio of the area of micro-cracks to the total area of the specimen. As the post-stress reducing ratio increases, the damage variable increases rapidly until the post-stress reducing ratio reaches 0.4; then, it remains constant. The force field were analyzed to reveal the damage evolution mechanism in the mudstone specimens under multi-stage triaxial compression.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17

Similar content being viewed by others

Abbreviations

EDZ:

Excavation damage zone

SEM:

Scanning electronic microscopy

UCS:

Uniaxial compressive strength

AE:

Acoustic emission

CT:

Computer tomography

PFC:

Particle flow code

XRD:

X-ray diffraction

D :

Diameter

L :

Length

C :

Cohesion

A crack :

Micro-crack area

A total :

Total area

E c :

Young’s modulus of the particle

\({\bar {E}_{\text{c}}}\) :

Young’s modulus of the parallel bond

k n/k s :

Ratio of normal-to-shear stiffness of the particle

\({\bar {k}_{\text{n}}}{\text{/}}{\bar {k}_{\text{s}}}\) :

Ratio of normal-to-shear stiffness of the parallel bond

σ 3 :

Confining pressure

σ d :

Axial deviatoric stress

σ 1 :

Maximum principal stress

λ :

Ratio of the difference between σdP and σdU

σ dP :

The peak strength obtained by the axial deviatoric stress–strain curves

σ dU :

The deviatoric stress unloading at the point

ε 1 :

Axial strain

ε 3 :

Radial strain

σ 1P :

Maximum supporting capacity

Φ :

Internal friction angle

\({D_\lambda }\) :

Damage variable

µ :

Particle friction coefficient

σ n :

Parallel-bond normal strength

τ n :

Parallel-bond shear strength

References

  • Adushkin VV, Kocharyan GG, Ostapchuk AA (2016) Parameters determining the portion of energy radiated during dynamic unloading of a section of rock massif. Dokl Earth Sci 467(1):275–279

    Article  Google Scholar 

  • Cao RH, Cao P, Lin H, Pu CZ, Ou K (2016) Mechanical behavior of brittle rock-like specimens with pre-existing fissures under uniaxial loading: experimental studies and particle mechanics approach. Rock Mech Rock Eng 49(3):1–21

    Article  Google Scholar 

  • Cho N, Martin CD, Sego DC (2007) A clumped particle model for rock. Int J Rock Mech Min Sci 44(7):997–1010

    Article  Google Scholar 

  • Corkum AG, Martin CD (2007) The mechanical behavior of weak mudstone (Opalinus clay) at low stresses. Int J Rock Mech Min Sci 44:196–209

    Article  Google Scholar 

  • Du K, Tao M, Li XB, Zhou J (2016) Experimental study of slabbing and rockburst induced by true-triaxial unloading and local dynamic disturbance. Rock Mech Rock Eng 49(9):1–17

    Article  Google Scholar 

  • Eberhardt E (2001) Numerical modelling of three-dimension stress rotation ahead of an advancing tunnel face. Int J Rock Mech Min Sci 38:499–518

    Article  Google Scholar 

  • Feng XT, Pei SF, Jiang Q, Zhou YY, Li SJ, Yao ZB (2017) Deep fracturing of the hard rock surrounding a large underground cavern subjected to high geostress: in situ observation and mechanism analysis. Rock Mech Rock Eng 50(8):2155–2175

    Article  Google Scholar 

  • Feng XT, Yao ZB, Li SJ, Wu SY, Yang CX, Guo HS (2018) In situ observation of hard surrounding rock displacement at 2400-m-deep tunnels. Rock Mech Rock Eng 51(3):873–892

    Article  Google Scholar 

  • Geertsema AJ (2002) The shear strength of planar joints in mudstone. Int J Rock Mech Min Sci 39:1045–1049

    Article  Google Scholar 

  • He MC, Zhou L, Li DJ et al (2008) Experimental research on hydrophilic characteristics of mudstone in deep well. Chin J Rock Mechan Eng 27(6):1113–1120 (in Chinese)

    Google Scholar 

  • He MC, Miao JL, Feng JL (2010) Rock burst process of limestone and its acoustic emission characteristics under true-triaxial unloading conditions. Int J Rock Mech Min Sci 47(2):286–298

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Huang RQ, Wang XN, Chan LS (2001) Triaxial unloading test of rocks and its implication for rock burst. Bull. Eng Geol Environ 60(1):37–41

    Article  Google Scholar 

  • Lee H, Jeon S (2011) An experimental and numerical study of fracture coalescence in pre-cracked specimens under uniaxial compression. Int J Solids Struct 48(6):979–999

    Article  Google Scholar 

  • Li XJ, Yang WM, Wang LG, Butler IB (2014) Displacement forecasting method in brittle crack surrounding rock under excavation unloading incorporating opening deformation. Rock Mech Rock Eng 47(6):2211–2223

    Article  Google Scholar 

  • Li XB, Du K, Li DY (2015) True triaxial strength and failure modes of cubic rock specimens with unloading the minor principal stress. Rock Mech Rock Eng 48(6):2185–2196

    Article  Google Scholar 

  • Li DY, Sun Z, Xie T, Li XB, Ranjith PG (2017) Energy evolution characteristics of hard rock during triaxial failure with different loading and unloading paths. Eng Geol 228:270–281

    Article  Google Scholar 

  • Li XB, Feng F, Li DY, Du K, Ranjith PG, Rostami J (2018) Failure characteristics of granite influenced by sample height-to-width ratios and intermediate principal stress under true-triaxial unloading conditions. Rock Mech Rock Eng 51(5):1321–1345

    Article  Google Scholar 

  • Mohr O (1914) Abhandlungen aus dem Gebiete der Technischen Mechanik, 2nd edn. Ernst, Berlin

    Google Scholar 

  • Mu K, YU J, CAI YY, CHEN X (2015) Acoustic emission of sandstone with hydro-mechanical coupling and PFC-based modelling of energy dissipation. Rock Soil Mechanics 36(5):1496–1504

    Google Scholar 

  • Tan X, Chen W, Liu H, Chan AHC, Tian H, Meng X (2017) A combined supporting system based on foamed concrete and u-shaped steel for underground coal mine roadways undergoing large deformations. Tunn Undergr Sp Tech 68:196–210

    Article  Google Scholar 

  • Tang B, Cheng H, Tang Y, Yao Z, Li M, Zheng T (2018) Excavation damaged zone depths prediction for TBM-excavated roadways in deep collieries. Environ Earth Sci 77(5):165

    Article  Google Scholar 

  • Vervoort A, Min KB, Konietzky H, Cho JW, Debecker B, Dinh QD, Frühwirt T, Tavallali A (2014) Fracturing of transversely isotropic rock under Brazilian test conditions. Int J Rock Mech Min Sci 70:343–352

    Article  Google Scholar 

  • Wang Q, Pan R, Li SC, Wang HT, Jiang B (2018) The control effect of surrounding rock with different combinations of the bolt anchoring lengths and pre-tightening forces in underground engineering. Environ Earth Sci 77(13):501

    Article  Google Scholar 

  • Xiao XH, Xiao PW, Dai F, Li HB, Zhang X, Zhou JW (2018) Large deformation characteristics and reinforcement measures for a rock pillar in the houziyan underground powerhouse. Rock Mech Rock Eng 51(2):1–18

    Article  Google Scholar 

  • Xie HQ, He CH (2004) Study of the unloading characteristics of a rock mass using the triaxial test and damage mechanics. Int J Rock Mech Min Sci 41(3):366

    Article  Google Scholar 

  • Xie HP, Peng RD, Ju Y (2004) Energy dissipation of rock deformation and fracture. Chin J Rock Mech Eng 23(21):3565–3570 (in Chinese)

    Google Scholar 

  • Xu XT, Huang RQ, Li H, Huang QX (2015) Determination of Poisson’s ratio of rock material by changing axial stress and unloading lateral stress test. Rock Mech Rock Eng 48(2):853–857

    Article  Google Scholar 

  • Xue Y, Ranjith PG, Gao F, Zhang DC, Cheng HM, Chong ZH (2017) Mechanical behaviour and permeability evolution of gas-containing coal from unloading confining pressure tests. J Nat Gas Sci Eng 40:336–346

    Article  Google Scholar 

  • Yang SQ, Jing HW, Li YS, Han LJ (2011) Experimental investigation on mechanical behavior of coarse marble under six different loading paths. Exp Mech 51(3):315–334

    Article  Google Scholar 

  • Yang SQ, Jing HW, Wang SY (2012) Experimental investigation on the strength, deformability, failure behavior and acoustic emission locations of red sandstone under triaxial compression. Rock Mech Rock Eng 45(4):583–606

    Article  Google Scholar 

  • Yang SQ, Huang YH, Jing HW, Liu XR (2014) Discrete element modeling on fracture coalescence behavior of red sandstone containing two unparallel fissures under uniaxial compression. Eng Geol 178:28–48

    Article  Google Scholar 

  • Yang SQ, Tian WL, Huang YH (2018) Failure mechanical behavior of pre-holed granite specimens after elevated temperature treatment by particle flow code. Geothermics 72:124–137

    Article  Google Scholar 

  • Yoon J (2007) Application of experimental design and optimization to PFC model calibration in uniaxial compression simulation. Int J Rock Mech Min Sci 44:871–889

    Article  Google Scholar 

  • Zhao XG, Wang J, Cai M, Cheng C, Ma LK, Su R (2014) Influence of unloading rate on the strainburst characteristics of beishan granite under true-triaxial unloading conditions. Rock Mech Rock Eng 47(2):467–483

    Article  Google Scholar 

  • Zhou KP, Liu TY, Hu ZX (2018) Exploration of damage evolution in marble due to lateral unloading using nuclear magnetic resonance. Eng Geol 244:75–85

    Article  Google Scholar 

Download references

Acknowledgements

This research was supported by the National Natural Science Foundation of China (51734009) and the Fundamental Research Funds for the Central Universities (2015XKZD05). We also would like to express our sincere gratitude to the editor and three anonymous reviewers for their valuable comments, which have greatly improved this paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sheng-Qi Yang.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yang, SQ., Tian, WL., Jing, HW. et al. Deformation and Damage Failure Behavior of Mudstone Specimens Under Single-Stage and Multi-stage Triaxial Compression. Rock Mech Rock Eng 52, 673–689 (2019). https://doi.org/10.1007/s00603-018-1622-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00603-018-1622-y

Keywords

Navigation