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Visualization of non-uniform soil deformation during triaxial testing

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Abstract

Triaxial test on both saturated and unsaturated soils is associated with non-uniform deformation, especially during shearing. This non-uniform deformation plays an important role in the soil strength and constitutive behavior. In the past, several image-based methods have been proposed to measure non-uniform soil deformation. However, accurate non-uniform soil deformation measurement during triaxial testing is still a great challenge for researchers. This study documented a new technique for the visualization of a deforming specimen during triaxial testing based on a full-field deformation measurement system with help of a self-developed software package GeoTri3D. A dot matrix (i.e., 13,320 dots in 90 rows × 148 columns) at a density of 57 dots/cm2 is directly printed to a latex membrane which covers a 61.8 × 123.2 mm specimen during triaxial testing. With the deformation measurement system, three-dimensional (3D) coordinates of each dot on membrane surface are accurately measured at different axial displacements during loading. Point clouds, which represent the specimen surface at these displacement levels, are then generated and further utilized for the generation of triangular meshes and reconstruction of specimen 3D surfaces. The full-field deformations (i.e., axial displacement, radial and axial strain) during testing are then derived based on the triangular meshes. These 3D surfaces and full-field deformations facilitated a 3D visualization of the specimen deforming process at an unprecedented high resolution. Accurate reconstruction of specimen surface and the associated 3D visualization of the deforming process offer a great potential for advanced soil behavior characterization.

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References

  1. Alshibli KA, Sture S (1999) Sand shear band thickness measurements by digital imaging techniques. J Comput Civ Eng 13(2):103–109. https://doi.org/10.1061/(ASCE)0887-3801(1999)13:2(103)

    Article  Google Scholar 

  2. Alshibli KA, Sture S, Costes NC, Frank ML, Lankton MR, Batiste SN, Swanson RA (2000) Assessment of local deformation in sand using X-ray computed tomography. Geotech Test J 23(3):274–299. https://doi.org/10.1007/s100100000044

    Article  Google Scholar 

  3. Alshibli KA, Batiste SN, Sture S (2003) Strain localization in sand: plane strain versus triaxial compression. J Geotech Geo-environ Eng 6(483):483–494. https://doi.org/10.1061/(ASCE)1090-0241(2003)129

    Article  Google Scholar 

  4. Alshibli KA, Jarrar MF, Druckrey AM, Ai-Raoush RI (2016) Influence of particle morphology on 3D kinematic behavior and strain localisation of sheared sand. J Geotech Geo-environ Eng. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001601

    Article  Google Scholar 

  5. ASTM D1557 (2012) Standard test methods for laboratory compaction characteristics of soil using modified effort. In: 2012 annual book of ASTM standards. American Society for Testing and Materials, West Conshohocken

  6. Batiste SN, Alshibli KA, Sture S, Lankton M (2004) Shear band characterization of triaxial sand specimens using computed tomography. Geotech Test J 27(6):568–579. https://doi.org/10.1520/GTJ12080

    Article  Google Scholar 

  7. Bhandari AR, Powrie W, Harkness RM (2012) A digital image-based deformation measurement system for triaxial tests. Geotech Test J 35(2):209–226. https://doi.org/10.1520/GTJ103821

    Article  Google Scholar 

  8. Bornert M, Lenoir N, Bésuelle P, Pannier Y, Hall SA, Viggiani G, Desrues J (2010) Discrete and continuum analysis of localised deformation in sand using X-ray mu CT and volumetric digital image correlation. Géotechnique 60(5):315–322. https://doi.org/10.1680/geot.2010.60.5.315

    Article  Google Scholar 

  9. Bruck HA, McNeil 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 

  10. Desrues J, Ando E (2015) Strain localisation in granular media. C R Phys 16(1):26–36. https://doi.org/10.1016/j.crhy.2015.01.001

    Article  Google Scholar 

  11. Desrues J, Viggiani G (2004) Strain localisation in sand: an overview of the experimental results obtained in Grenoble using stereophotogrammetry. Int J Numer Anal Methods Geomech 28(4):279–321. https://doi.org/10.1002/nag.338

    Article  Google Scholar 

  12. Gao G, Huang S, Xia K, Li Z (2015) Application of digital image correlation (DIC) in dynamic notched semi-circular bend (NSCB) tests. Exp Mech 55:95–104. https://doi.org/10.1007/s11340-014-9863-5

    Article  Google Scholar 

  13. Koerber H, Xavier J, Camanho PP (2010) High strain rate characterisation of unidirectional carbon-epoxy IM7-8552 in transverse compression and in-plane shear using digital image correlation. Mech Mater 42:1004–1019. https://doi.org/10.1016/j.compositesa.2011.01.002

    Article  Google Scholar 

  14. Lenoir N, Bornert M, Desrues J, Bésuelle P, Viggiani G (2007) Volumetric digital image correlation applied to X-ray microtomography images from triaxial compression tests on argillaceous rock. Strain 43(3):193–205. https://doi.org/10.1111/j.1475-1305.2007.00348.x

    Article  Google Scholar 

  15. Li L (2021) GeoTri3D for Triaxial Deformation Measurements, Nanjing, Jiangsu, China. https://m.youtube.com/watch?v=RHVTC7z1RSM. Accessed 18 May 2021

  16. Li L, Zhang X (2015) A new triaxial testing system for unsaturated soil characterization. Geotech Test J 38(6):823–839. https://doi.org/10.1520/GTJ20140201

    Article  Google Scholar 

  17. Li L, Zhang X (2019) Factors influencing the accuracy of the photogrammetry-based deformation measurement method. Acta Geotech 14(2):559–574. https://doi.org/10.1007/s11440-018-0663-4

    Article  Google Scholar 

  18. Li L, Zhang X, Chen G, Lytton R (2016) Measuring unsaturated soil deformations during triaxial testing using a photogrammetry-based method. Can Geotech J 53(3):472–489. https://doi.org/10.1139/cgj-2015-0038

    Article  Google Scholar 

  19. Li L, Lu Y, Cai Y, Li P (2021) A calibration technique to improve accuracy of the photogrammetry-based deformation measurement method for triaxial testing. Acta Geotech. https://doi.org/10.1007/s11440-020-01077-6

    Article  Google Scholar 

  20. Lin H, Penumadu D (2006) Strain localisation in combined axial-torsional testing on kaolin clay. J Eng Mech 132(5):555–564. https://doi.org/10.1061/(ASCE)0733-9399(2006)132:5(555)

    Article  Google Scholar 

  21. Macari EJ, Parken J, Costes NC (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 

  22. Medina-Cetina Z, Rechenmacher A (2010) 2010 Influence of boundary conditions, specimen geometry and material heterogeneity on model calibration from triaxial tests. Int J Numer Anal Methods Geomech 34(6):627–643. https://doi.org/10.1002/nag.833

    Article  Google Scholar 

  23. Rechenmacher AL (2006) Grain-scale processes governing shear band initiation and evolution in sands. J Mech Phys Solids 54(1):22–45. https://doi.org/10.1016/j.jmps.2005.08.009

    Article  MATH  Google Scholar 

  24. Rechenmacher AL, Abedi S, Chupin O, Orlando AD (2011) Characterization of mesoscale instabilities in localized granular shear using digital image correlation. Acta Geotech 6(4):205–217. https://doi.org/10.1007/s11440-011-0147-2

    Article  Google Scholar 

  25. Salazar SE, Coffman RA (2015) Consideration of internal board camera optics for triaxial testing applications. Geotech Test J 38(1):40–49. https://doi.org/10.1520/GTJ20140163

    Article  Google Scholar 

  26. Sutton MA, Wolters WJ, Peters WH, Ranson WF, McNeil SR (1983) Determination ofdisplacements using an improved digital correlation method. Image Vis Comput 1(3):133–139. https://doi.org/10.1016/0262-8856(83)90064-1

    Article  Google Scholar 

  27. Tang Y, Okubo S, Xu J, Peng S (2019) Progressive failure behaviors and crack evolution of rocks under triaxial compression by 3D digital image correlation. Eng Geol 249:172–185. https://doi.org/10.1016/j.enggeo.2018.12.026

    Article  Google Scholar 

  28. Triggs B, McLauchlan PF, Hartley RI, Fitzgibbon AW (2000) Buddle adjustment—a modern synthesis. In: Triggs B, Zisserman A, Szeliski R (eds) ICCV-WS 1999. LNCS, vol 1983, pp 298–375

  29. Wang P, Guo X, Sang Y, Shao L, Yin Z, Wang Y (2020) Measurement of local and volumetric deformation in geotechnical triaxial testing using 3D-digital image correlation and a subpixel edge detection algorithm. Acta Geotech 15(10):2891–2904. https://doi.org/10.1007/s11440-020-00975-z

    Article  Google Scholar 

  30. Zhang X, Li L, Chen G, Lytton R (2015) A photogrammetry-based method to measure total and local volume changes of unsaturated soils during triaxial testing. Acta Geotech 10(1):55–82. https://doi.org/10.1007/s11440-014-0346-8

    Article  Google Scholar 

Download references

Acknowledgements

The work herein is funded by National Natural Science Foundation of China (CNSF) under Grant No.51709088. The authors are thankful for this financial support and also greatly appreciate the insightful comments from the reviewers. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the CNSF.

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Correspondence to Lin Li.

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Li, L., Li, P., Cai, Y. et al. Visualization of non-uniform soil deformation during triaxial testing. Acta Geotech. 16, 3439–3454 (2021). https://doi.org/10.1007/s11440-021-01310-w

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