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Measurement of membrane penetration in triaxial specimen through digital image correlation

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Abstract

Membrane penetration during triaxial tests can degrade the accuracy of results which affects the volumetric strain in drained tests or the pore pressure in undrained tests, and this problem has attracted much attention in the research community. However, a major portion of the attention has been focused on sand, and studies on gravelly-sandy soils and sandy-gravelly soils have largely been neglected. In previous investigations, in order to reduce or eliminate the impact of membrane penetration on test results, most of existing methods may use unreasonable assumptions or introduce other unpredictable artifacts into triaxial tests. Thus, this paper describes a method that uses image processing based on the digital image correlation (DIC) technique to perform non-contact, global measurement of membrane penetration of the specimen during triaxial tests. The method allows the full-field axial and radial strain of a cylindrical specimen to be accurately measured for estimating the skeletal volumetric strain. The membrane penetration was determined by the difference between the total volumetric strain and the skeletal volumetric strain. In addition, this method verifies the basic assumption that the radial strains in all directions at the same height of the specimen are approximately equal. In this study, the test results indicate that membrane penetration ΔVm exhibits an exponential relation with the normalized effective confining pressure. As the content of coarse particles increases and the relative density decreases, the amount of membrane penetration increases, but the increasing trend is weakened with the increase of coarse particle content and the decrease of relative density. The specimen gradation has a critical effect on membrane penetration and the shape of the particles also affects membrane penetration. A comparison of the test results with the results of Nicholson's empirical formula shows an error on the part of the formula that increases with sample density.

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References

  1. Baldi G, Nova R (1984) Membrane penetration effects in triaxial testing. J Geotech Eng 110(3):403–420. https://doi.org/10.1061/(ASCE)0733-9410(1984)110:3(403)

    Article  Google Scholar 

  2. Boháč J, Feda J (1992) Membrane penetration in triaxial tests. Geotech Test J 15(3):288–294. https://doi.org/10.1520/GTJ10026J

    Article  Google Scholar 

  3. Bruck HA, McNeill SR, Sutton MA, Peters WH (1989) Digital image correlation using Newton–Raphson method of partial differential correction. Exp Mech 29(3):261–267. https://doi.org/10.1007/bf02321405

    Article  Google Scholar 

  4. Enyue J, Jungao Z, Qinglong W, Jieming J (2018) Experimental study on membrane penetration in gravel triaxial tests. Chin J Geotech Eng 40(2):346–352

    Google Scholar 

  5. Evans Mark D (1992) Density changes during undrained loading—membrane compliance. J Geotech Eng 118(12):1924–1936. https://doi.org/10.1061/(ASCE)0733-9410(1992)118:12(1924)

    Article  Google Scholar 

  6. Frydman S, Zeitlen J, Alpan I (1973) The membrane effect in triaxial testing of granular soils. J Test Eval 1(1):37–41. https://doi.org/10.1520/JTE11599J

    Article  Google Scholar 

  7. Goto S, Tatsuoka F, Shibuya S, Kim Y, Sato T (1991) A simple gauge for local small strain measurements in the laboratory. Soils Found 31(1):169–180. https://doi.org/10.3208/sandf1972.31.169

    Article  Google Scholar 

  8. Haeri SM, Shahcheraghi SA, Sadeghi H (2018) A new method for eliminating membrane compliance in cyclic triaxial tests on gravelly soils. Scientia Iranica. https://doi.org/10.24200/sci.2018.5076.1082

    Article  Google Scholar 

  9. Ishihara K (1996) Soil behaviour in earthquake geotechnics.

  10. Jiang GL, Tatsuoka F, Flora A, Koseki J (1997) Inherent and stress-state-induced anisotropy in very small strain stiffness of a sandy gravel. Géotechnique 47(3):509–521. https://doi.org/10.1680/geot.1997.47.3.509

    Article  Google Scholar 

  11. Kiekbusch M, Schuppener B (1977) Membrane penetration and its effect on pore pressures. J Geotech Eng Div 103(11):1267–1279

    Google Scholar 

  12. Ladd R (1978) Preparing test specimens using undercompaction. Geotech Test J 1(1):16–23. https://doi.org/10.1520/GTJ10364J

    Article  Google Scholar 

  13. Lade PV, Hernandez SB (1977) Membrane penetration effects in undrained tests. J Geotech Eng Div 103(2):109–125

    Google Scholar 

  14. Liu J, Zou D, Kong X, Ning F, Han J (2019) A simple measurement of membrane penetration in gravel triaxial tests based on eliminating soil skeleton plastic deformation with cyclic confining pressure loading. Geotech Test J 42(4):880–896. https://doi.org/10.1520/GTJ20180025

    Article  Google Scholar 

  15. Macari E, Parker J, Costes N (1997) Measurement of volume changes in triaxial tests using digital imaging techniques. Geotech Test J 20(1):103–109. https://doi.org/10.1520/GTJ11424J

    Article  Google Scholar 

  16. Newland PL, Allely BH (1959) Volume changes during undrained triaxial tests on saturated dilatant granular materials. Géotechnique 9(4):174–182. https://doi.org/10.1680/geot.1959.9.4.174

    Article  Google Scholar 

  17. Nicholson PG, Seed RB, Anwar HA (1993) Elimination of membrane compliance in undrained triaxial testing. I. Measurement and evaluation. Can Geotech J 30(5):727–738. https://doi.org/10.1139/t93-065

    Article  Google Scholar 

  18. Omar T, Sadrekarimi A (2014) Specimen size effects on behavior of loose sand in triaxial compression tests. Can Geotech J 52(6):732–746. https://doi.org/10.1139/cgj-2014-0234

    Article  Google Scholar 

  19. Pan B, Li K, Tong W (2013) Fast, robust and accurate digital image correlation calculation without redundant computations. Exp Mech 53(7):1277–1289. https://doi.org/10.1007/s11340-013-9717-6

    Article  Google Scholar 

  20. Pan B, Xie H, Wang Z (2010) Equivalence of digital image correlation criteria for pattern matching. Appl Opt 49(28):5501–5509. https://doi.org/10.1364/AO.49.005501

    Article  Google Scholar 

  21. Raghunandan ME, Sharma JS, Pradhan B (2015) A review on the effect of rubber membrane in triaxial tests. Arab J Geosci 8(5):3195–3206. https://doi.org/10.1007/s12517-014-1420-0

    Article  Google Scholar 

  22. Raju VS, Sadasivan SK (1974) Membrane penetration in triaxial tests on sand. J Geotech Eng Div 100(4):482–489

    Google Scholar 

  23. Raju V Undrained triaxial tests to assess liquefaction potential of sands-Effect of membrane penetration. In: Proc., International Symposium on Soil under Cyclic and Transient Loading, 1980. pp 483–494

  24. Roscoe KH, Schofield AN, Thurairajah A (1964) An evaluation of test data for selecting a yield criterion for soils. ASTM International, West Conshohocken, pp 111–128. https://doi.org/10.1520/STP29988S

    Book  Google Scholar 

  25. SL 237–001–1999, Specification of Soil Test, China Water Conservancy and Hydropower, Beijing, China, www.chinesestandard.net.

  26. Schreier H, Orteu J-J, Sutton MA (2009) Image correlation for shape, motion and deformation measurements: basic concepts, theory and applications. Springer, Berlin

    Book  Google Scholar 

  27. Sivathayalan S, Vaid YP (1998) Truly undrained response of granular soils with no membrane-penetration effects. Can Geotech J 35(5):730–739. https://doi.org/10.1139/t98-048

    Article  Google Scholar 

  28. Vaid Y, Negussey D (1984) A critical assessment of membrane penetration in the triaxial test. Geotech Test J 7(2):70–76. https://doi.org/10.1520/GTJ10595J

    Article  Google Scholar 

  29. Wang P, Sang Y, Shao L, Guo X (2019) Measurement of the deformation of sand in a plane strain compression experiment using incremental digital image correlation. Acta Geotech 14(2):547–557. https://doi.org/10.1007/s11440-018-0676-z

    Article  Google Scholar 

  30. Xu M, Song E, Chen J (2012) A large triaxial investigation of the stress-path-dependent behavior of compacted rockfill. Acta Geotech 7(3):167–175. https://doi.org/10.1007/s11440-012-0160-0

    Article  Google Scholar 

  31. Yan WM, Li XS (2012) Mechanical response of a medium-fine-grained decomposed granite in Hong Kong. Eng Geol 129–130:1–8. https://doi.org/10.1016/j.enggeo.2011.12.013

    Article  Google Scholar 

  32. Ying G, Yanbao M (2018) Study on initial anisotropy of saturated sand specimens (in chinese). J Dis Prevent Mitig Eng 2:251–257

    Google Scholar 

Download references

Acknowledgments

The authors acknowledge the National Natural Science Foundation of China (Grant Nos. 51890915, U1965206 and 51779034). These financial supports are gratefully acknowledged.

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Correspondence to Degao Zou.

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Ji, X., Kong, X., Zou, D. et al. Measurement of membrane penetration in triaxial specimen through digital image correlation. Acta Geotech. 16, 1–19 (2021). https://doi.org/10.1007/s11440-020-00998-6

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