Skip to main content
Log in

Developing a Damage Model to Simulate Multiple-Step Loading Triaxial Compression Tests in Rocks

  • Original paper
  • Published:
Geotechnical and Geological Engineering Aims and scope Submit manuscript

Abstract

Multiple-step loading triaxial compression test (ML-TCT) method is a useful tool to evaluate strength parameters of rock samples using a single specimen applying several loading/unloading. However, because of accumulated damages in the specimen with repeated cycles of axial loading/unloading, the shear strength is prone to be underestimated. A multiple-step loading damage (MLD) model was proposed to simulate ML-TCT results. Two series of ML-TCTs were carried out on a sedimentary soft rock of mudstone. The first series was to determine the geotechnical parameters to describe the MLD model, and the second series was to verify the model. The results demonstrated that the proposed MLD model was powerful to simulate ML-TCTs on the mudstone and modify the results of carried out tests to generate more reliable results. Moreover, a generalized MLD model was constructed. This model allows prediction of peak deviator stresses and the relevant excess pore water pressures in a ML-TCT for rocks having different strength which generally are affected by the previous loading history. The generalized MLD model indicates that the margin between shear strength parameters obtained by single-step loading triaxial compression tests and ML-TCTs, increases with an increase in the rock strength. Moreover, upper bound values for effective cohesion, c′, and lower bound values for, effective friction angle, ϕ′, was obtained in a ML-TCT with increasing effective confining pressure, σ′c. Whereas, upper bound values for ϕ′ and lower bound values for c′ predicted in a ML-TCT with decreasing σ′c. It was concluded that, ML-TCT increasing σ′c is preferable to ML-TCT decreasing σ′c.

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

ρt :

Wet density

σa :

Axial stress

εa :

Axial strain

σ′c :

Horizontal (cell) effective stress

ϕ′:

Effective friction angle

c′:

Effective cohesion

q u :

Uniaxial compressive strength

ε Pa :

Cumulative plastic axial strain

Δε Pa :

Increment of plastic axial strain

q f, SL :

Peak deviator stress in single-step loading test

q f, ML :

Peak deviator stress in multiple-step loading test

Δuf, SL :

Excess pore water pressure in single-step loading test

q f, ML :

Excess pore water pressure in multiple-step loading test

q f, ML/q f, SL :

Shear strength ratio

Δuf, ML/Δuf, SL :

Excess pore water pressure ratio

V p :

Primary wave velocity

Vs:

Secondary wave velocity

ML-TCT:

Multiple-step loading triaxial compression test

SL-TCT:

Single-step loading triaxial compression test

MLD:

Multiple-step loading damage

References

  • Akai K, Ohnishi Y, Lee D (1981) Improved multiple-stage triaxial test method for soft rock. In: Proceedings of the international symposium on weak rock, vol 1, pp 75–80

  • Anderson WF (1974) The use of multi-stage triaxial tests to find the undrained strength parameters of stony boulder clay. In: Proceedings of Institute of Civil Engineering, Pt. 2, vol 57. Thomas Telford Ltd., London, pp 367–373

  • Bro A (1997) Analysis of multistage triaxial test results for a strain-hardening rock. Int J Rock Mech Min Sci 34:143–145

    Article  Google Scholar 

  • Crawford A, Wylie DA (1987) modified multiple failure state triaxial testing method. In: Proceedings of 28th US symposium on rock mechanics, pp 40–133

  • De Beer EE (1950) The cell test. Geotechnique 2(2):162–172

    Article  Google Scholar 

  • Goodman RE (1976) Methods of geological engineering in discontinuous rocks. West Publishing Company, New York, pp 158–180

    Google Scholar 

  • International Society of Rock Mechanics (ISRM) (1981) Rock characterization, testing and monitoring; ISRM suggested method. Pergamon Press, Oxford

    Google Scholar 

  • JGS (2001) Triaxial compression test on soft rocks. Japanese Geotechnical Standard, Tokyo, pp 25–33

    Google Scholar 

  • Kenney TC, Watson GH (1961) Multiple-stage triaxial tests for determination c′ and ϕ′ of saturated soils. In: Proceedings of 5th international conference on soil mechanics and foundation engineering, vol 1. pp 191–195

  • Kim MM, Ko HY (1979) Multistage triaxial testing of rocks. Geotech Test J 2:98–105

    Article  Google Scholar 

  • Kovari K, Tisa A (1975) Multiple failure state and strain controlled triaxial tests. Rock Mech 7:17–33

    Article  Google Scholar 

  • Kovari K, Tisa A, Einstein HH, Franklin JA (1983) Suggested methods for determining the strength of rock material in triaxial compression: revised version. Int J Rock Mech Min Sci 20(6):283–290

    Google Scholar 

  • Pagoulatos A (2004) Evaluation of multistage triaxial testing on Berea sandstone. M.Sc Thesis, The University of Oklahama

  • Schoenemann MR, Pyles MR(1988) Stress path considerations in multistage triaxial testing. In: Donaghe RT, Chancy RC, Silver ML (eds) Advanced triaxial testing of soils and rocks, ASTM STP 977, pp 732–739

  • Sorenzo M (1988) Results and interpretation of multistage triaxial compression tests. In: Donaghe RT, Chancy RC, Silver ML (eds) Advanced triaxial testing of soils and rocks, ASTM STP 977. American Society for Testing and Materials, Philadelphia, pp 353–362

    Chapter  Google Scholar 

  • Tani K (2007) Proposal of multiple-step loading damage model to simulate multiple-step loading triaxial compression test. In: Proceedings of 1st SriLankan Society international conference on soil and rock engineering. 6p

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Taheri.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Taheri, A., Tani, K. Developing a Damage Model to Simulate Multiple-Step Loading Triaxial Compression Tests in Rocks. Geotech Geol Eng 31, 541–556 (2013). https://doi.org/10.1007/s10706-012-9607-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10706-012-9607-1

Keywords

Navigation