Skip to main content
SpringerLink
Log in

A Dimensionless Rock Damage Constitutive Model under an Improved Harris Distribution

  • EXPERIMENTAL INVESTIGATIONS
  • Published:
Soil Mechanics and Foundation Engineering Aims and scope

This study applies an improved Harris distribution function to describe rock material heterogeneity and randomness of micro-unit damage to determine the rock damage evolution law. A new damage constitutive model is established using the dimensionless Drucker-Prager (D-P) criterion to reasonably measure the strength of rock micro-units, from which we deduce a theoretical expression of the model parameters and discuss their physical meaning. We performed triaxial compression tests on sandstone samples under conventional conditions to validate our model. The results show that the improved Harris distribution function is suitable for describing the damage evolution process of rock material, and its meso-mechanical response is consistent with the macroscopic rock deformation and failure process. The dimensionless D-P criterion is used to define the random variables of the rock micro-unit strength, which reduces the number of independent model parameters and simplifies the parameter determination process and model expression.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C. A. Tang, W. T. Yang, Y. F. Fu, and X. H. Xu, “A new approach to numerical method of modelling geological processes and rock engineering problems-continuum to discontinuum and linearity to nonlinearity,” Eng. Geol., 49(3), 207-214 (1998).

    Article  Google Scholar 

  2. D. Krajcinovic and M. A. G. Silva, “Statistical aspects of the continuous damage theory,” Int. J. Solid Struct., 18(7), 551-562 (1982).

    Article  Google Scholar 

  3. W. G. Cao, R. Mo, and X. Li, “Study on statistical constitutive model and determination of parameters of rock based on normal distribution,” Chin. J. Geotech. Eng., 29(5), 671-675 (2007).

    Google Scholar 

  4. L. Xiang, W. G. Cao, and Y. H. Su, “A statistical damage constitutive model for softening behavior of rocks,” Eng. Geol., 143-144(8), 1-17 (2012).

    Google Scholar 

  5. H. Zhao, C. Shi, M. Zhao, and X. Li, “Statistical damage constitutive model for rocks considering residual strength,” Int. J. Geomech., 17(1), 04016033.1-04016033.9 (2017)

    Article  Google Scholar 

  6. Y. Q. Zhou, Q. Sheng, X. L. Leng, X. D. Fu, and L. F. Li, “Statistical constitutive model of elastic damage for rock considering residual strength and threshold,” J. Yangtze River Sci. Res. Inst., 33(3) 48-53 (2016).

    Google Scholar 

  7. X. Qi, Mathematical model method, Huazhong University of Science and Technology Press, Wuhan (2002).

  8. H. F. Huang, N. P. Ju, L. Li, J. Xiao, M. Li, J. Bai, and X. Lu, “Improved Harris function based statistical damage softening model for rocks,” J. Eng. Geol., 26(2), 520-527 (2018).

    Google Scholar 

  9. J. Lemaitre, “How to use damage mechanics,” Nuclear Eng. Design, 80(2), 233-245 (1984).

    Article  Google Scholar 

  10. H. M. Zhang, L. N. Lei, and G. S. Yang, “Characteristic and representative model of rock damage process under constant confining stress,” J. China Uni. Mining Tech., 44(1), 58-63 (2015).

    Google Scholar 

  11. P. W. Shen, H. M. Tang, Y. B. Ning, and D. Xia, “A damage mechanics based on the constitutive model for strain-softening rocks,” Eng. Fracture Mech., 216, 106521-106521 (2019).

    Article  Google Scholar 

  12. P. X. Wang, P. Cao, M. Wang, Y. Chen, and C. C. Wang, “Post-peak stress−strain relationship model of rock considering confining pressure effect,” J. Central South Uni., 48(10), 2753-2758 (2017).

    Google Scholar 

  13. F. Gao, X. Xiong, K. P. Zhou, J. L. Li, and W. C. Shi, “Strength deterioration model of saturated sandstone under freeze-thaw cycles,” Rock Soil Mech., 40(3), 926-932 (2019).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Xi’an University of Science and Technology, Xi’an, Shaanxi, China

    H. Zhang, S. Chen & L. Wang

  2. Wuhan University, Wuhan, Hubei, China

    S. Cheng

Authors
  1. H. Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. L. Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. Cheng
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. Chen.

Additional information

Translated from Osnovaniya, Fundamenty i Mekhanika Gruntov, No. 4, July-August, 2022.

Rights and permissions

Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, H., Chen, S., Wang, L. et al. A Dimensionless Rock Damage Constitutive Model under an Improved Harris Distribution. Soil Mech Found Eng 59, 338–346 (2022). https://doi.org/10.1007/s11204-022-09820-9

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11204-022-09820-9

Search

Navigation