Skip to main content
Log in

Entire deformational characteristics and strain localization of jointed rock specimen in plane strain compression

  • Published:
Journal of Central South University of Technology Aims and scope Submit manuscript

Abstract

Shear band (SB), axial, lateral and volumetric strains as well as Poisson’s ratio of anisotropic jointed rock specimen (JRS) were modeled by Fast Lagrangian Analysis of Continua (FLAC). Failure criterion of rock was a composited Mohr-Coulomb criterion with tension cut-off. An inclined joint was treated as square elements of ideal plastic material beyond the peak strength. Several FISH functions were written to automatically find the addresses of elements in the joint and to calculate the entire deformational characteristics of plane strain JRS. The results show that for moderate joint inclination (JI), strain is only concentrated into the joint governing the behavior of JRS, leading to ideal plastic responses in axial and lateral directions. For higher JI, the post-peak stress-axial and lateral strain curves become steeper as JI increases owing to the increase of new SB’s length. Lateral expansion and precursor to the unstable failure are the most apparent, resulting in the highest Poisson’s ratio and even negative volumetric strain. For lower JI, the entire post-peak deformational characteristics are independent of JI. The lowest lateral expansion occurs, leading to the lowest Poisson’s ratio and positive volumetric strain all along. The present prediction on anisotropic strength in plane strain compression qualitatively agrees with the results in triaxial tests of rocks. The JI calculated by Jaeger’s formula overestimates that related to the minimum strength. Advantages of the present numerical model over the Jaeger’s model are pointed out.

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.

Similar content being viewed by others

References

  1. Brady B H G, Brown E T. Rock mechanics for underground mining [M]. UK: George Allen & Unwin, 1985.

    Google Scholar 

  2. Ramamurthy T. Shear strength response of some geological materials in triaxial compression[J]. Int J Rock Mech Min Sci, 2001, 38(5): 683–697.

    Article  Google Scholar 

  3. Kulatilake P H S W, Liang J, Gao H. Experimental and numerical simulations of jointed rock block strength under uniaxial loading[J]. J Engrg Mech ASCE, 2001, 127(12): 1240–1247.

    Article  Google Scholar 

  4. Einstein H H, Hirschfeld R C. Model studies on mechanics of jointed rock[J]. J Soil Mech Found Div ASCE, 1973, 99(SM3): 229–248.

    Google Scholar 

  5. Sinha U N, Singh B. Testing of rock joints filled with gouge using a triaxial apparatus[J]. Int J Rock Mech Min Sci, 2000, 37(6): 963–981.

    Article  Google Scholar 

  6. LI Qi-yue, LI Xi-bin, WEN Shi-you, et al. Imitating study on blasting effect of jointed rock masses[J]. J Cent South Univ Technol, 1998, 5(2): 127–129.

    Article  MathSciNet  Google Scholar 

  7. ZENG Zheng-wen, MA Jin, WU Xin-quan, et al. Characteristics and implications of acoustic emission energy in the process of deformation and failure of single-joint rockmass[J]. Seismol Geol, 1994, 16(1): 71–77. (in Chinese)

    Google Scholar 

  8. BAI Shi-wei, REN Wei-zhong, FENG Ding-xiang, et al. Research on the strength behaviour of rock containing coplanar close intermittent joints by direct shear test[J]. Rock Soil Mech, 1999, 20(2): 10–16. (in Chinese)

    Google Scholar 

  9. LIU Dong-yan, ZHU Ke-shan, ZHOU Shao-huai. A study of strength anisotropy of rock mass containing intermittent joints [J]. Chin J Rock Mech Engrg, 1998, 17(4): 9–13. (in Chinese)

    MATH  Google Scholar 

  10. ZENG Ji-quan, YANG Zong-cai. Dip effect of structural plane on shearing strength parameters of rock mass[J]. Chin J Rock Mech Engrg, 2004, 23(20): 3418–3425. (in Chinese)

    Google Scholar 

  11. Ng K L A, Small J C. Behavior of joints and interfaces subjected to water pressure [J]. Comput Geotech, 1997, 20(1): 71–93.

    Article  Google Scholar 

  12. Cundall P A. Formulation of a three-dimensional distinct element model-Part I. a scheme to detect and represent contacts in a system composed of many polyhedral blocks[J]. Int J Rock Mech Min Sci, 1988, 25(3): 107–116.

    Article  Google Scholar 

  13. Hatzor Y H, Benary R. Stability of a laminated Voussoir beam: Back analysis of a historic roof collapse using DDA [J]. Int J Rock Mech Min Sci, 1998, 35(2): 165–181.

    Article  Google Scholar 

  14. Fotoohi K, Mitri H S. Non-linear fault behaviour near underground excavations-a boundary element approach[J]. Int J Num Anal Methods Geomech, 1996, 20(3): 173–190.

    Article  MATH  Google Scholar 

  15. CAO Ping, DENG Zhi-bin, CHEN Feng. Numerical simulation on sliding of close joint in rock mass and evaluation on its mechanical behavior[J]. Chin J Rock Mech Engrg, 2004, 23(20): 3439–3443. (in Chinese)

    Google Scholar 

  16. WANG Xue-bin, ZHAO Yang-feng, DAI Shu-hong, et al. Numerical simulation of conjugate shear fracture bands for seismic block model [J]. Journal of Disaster Prevention and Mitigation Engineering, 2004, 24(2): 119–125. (in Chinese)

    Google Scholar 

  17. WANG Xue-bin, YANG Xiao-bin, ZHANG Zhi-hui, et al. Dynamic analysis of fault rockburst based on gradient-dependent plasticity and energy criterion[J]. J Univ Sci Technol Beijing, 2004, 11(1): 5–9.

    Google Scholar 

  18. WANG Xue-bin, DAI Shu-hong, HAI Long. Quantitative calculation of dissipated energy of fault rock burst based on gradient-dependent plasticity[J]. J Univ Sci Technol Beijing, 2004, 11(3): 197–201.

    Google Scholar 

  19. de Buhan B, Feard J, Gamier D, et al. Failure properties of fractured rock masses as anisotropic homogenized media[J]. J Engrg Mech, ASCE, 2002, 128(8): 869–875.

    Article  Google Scholar 

  20. Kodikara J K, Johnston I W. Shear behaviour of irregular triangular rock-concrete joints[J]. Int J Rock Mech Min Sci, 1994, 31(4): 313–322.

    Article  Google Scholar 

  21. XIA Cai-chu, SUN Zong-qi, PAN Chang-liang. Study of shear strength and closure deformation of joints with different topography[J]. Journal of Hydraulic Engineering, 1996, 11: 28–32, 38. (in Chinese)

    Google Scholar 

  22. Vardoulakis I. Shear band inclination and shear modulus of sand in biaxial tests[J]. Int J Num Anal Methods Geomech, 1980, 4(2): 103–119.

    Article  MATH  Google Scholar 

  23. ZHU Jian-ming, XU Bing-ye, CEN Zhang-zhi. Study on the deformation mechanisms of sliding dilation of post-failure rocks[J]. Chin J Mech Engrg, 2001, 23(5): 19–22. (in Chinese)

    Article  Google Scholar 

  24. ZHU Jun-gao, LU Hai-hua, YIN Zong-ze. Lateral deformation of soil in true triaxial test[J]. Journal of Hobai University, 1995, 23(6): 28–33. (in Chinese)

    Google Scholar 

  25. WANG Xue-bin. Characteristics of post-peak deformations of rock in uniaxial compression based on gradient-dependent plasticity[J]. Chin J Rock Mech Engrg, 2004, 23(Suppl. 1): 4292–4295. (in Chinese)

    Google Scholar 

  26. WANG Xue-bin, PAN Yi-shan. Effect of relative stress on post-peak uniaxial compression fracture energy of concrete[J]. J Wuhan Univ Technol-Mater Sci, 2003, 18(4): 89–92.

    Google Scholar 

  27. WANG Xue-bin, LIU Jie, WANG Lei, et al. Analysis of lateral deformation of rock specimen based on gradient-dependent plasticity (II): Size effect and snap-back[J]. Rock Soil Mech, 2004, 25(7): 1127–1130. (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wang Xue-bin PhD.

Additional information

Foundation item: Project (50309004) supported by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, Xb. Entire deformational characteristics and strain localization of jointed rock specimen in plane strain compression. J Cent. South Univ. Technol. 13, 300–306 (2006). https://doi.org/10.1007/s11771-006-0129-y

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-006-0129-y

Key words

CLC number

Navigation