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Measurement of local and volumetric deformation in geotechnical triaxial testing using 3D-digital image correlation and a subpixel edge detection algorithm

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Abstract

Based on the three-dimensional digital image correlation (3D-DIC) technique, the stereovision system has been applied to the improved triaxial apparatus to obtain 3D full-field deformation of the specimen during triaxial testing. Through the calibration process, the 3D-DIC technique can obtain the accurate specimen’s spatial displacement deformation. Meanwhile, a subpixel edge detection algorithm has been combined with 3D-DIC technique to calculate the radial strain and the volume strain of the specimen directly. Furthermore, a series of consolidated drained and undrained triaxial tests were carried out on Hainan (China) sand specimens and measured by the conventional and the image measurement methods. Compared to the results measured by the conventional method, the image measurement technique can obtain the more experimental data, such as the 3D displacement field of the whole specimen, the local strain distribution, and so on. The measurement results also show the conventional method would be disturbed by the end constraints in triaxial tests so that the strength of the soil would be overestimated. Meanwhile, the middle of the specimen would be selected to calculate the stress–strain relationship without the influence of the end constraints in the proposed method. Based on the image measurement results, the proposed method has the potential to be used in geotechnical tests for exploring the soil’s progressive failure behaviors, inhomogeneous deformation and mechanical characteristics.

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References

  1. Alikarami R, Andò E, Gkiousas-Kapnisis M, Torabi A, Viggiani G (2014) Strain localisation and grain breakage in sand under shearing at high mean stress: insights from in situ X-ray tomography. Acta Geotech 10(1):15–30. https://doi.org/10.1007/s11440-014-0364-6

    Article  Google Scholar 

  2. Blatz J, Graham J (2003) Elastic–plastic modelling of unsaturated soil using results from a new triaxial test with controlled suction. Géotechnique 53(1):113–122. https://doi.org/10.1680/geot.2003.53.1.113

    Article  Google Scholar 

  3. Chen R, Ng CWW (2013) Impact of wetting–drying cycles on hydro-mechanical behavior of an unsaturated compacted clay. Appl Clay Sci 86:38–46. https://doi.org/10.1016/j.clay.2013.09.018

    Article  Google Scholar 

  4. Chen F, Chen X, Xie X, Feng X, Yang L (2013) Full-field 3D measurement using multi-camera digital image correlation system. Opt Lasers Eng 51(9):1044–1052. https://doi.org/10.1016/j.optlaseng.2013.03.001

    Article  Google Scholar 

  5. Chen W-B, Yin J-H, Feng W-Q (2018) A new double-cell system for measuring volume change of a soil specimen under monotonic or cyclic loading. Acta Geotech. https://doi.org/10.1007/s11440-018-0629-6

    Article  Google Scholar 

  6. Cheng Z, Wang J (2019) Quantification of the strain field of sands based on X-ray micro-tomography: a comparison between a grid-based method and a mesh-based method. Powder Technol 344:314–334. https://doi.org/10.1016/j.powtec.2018.12.048

    Article  Google Scholar 

  7. Dollár P, Zitnick CL (2015) Fast edge detection using structured forests. IEEE Trans Pattern Anal Mach Intell 37(8):1558–1570. https://doi.org/10.1109/TPAMI.2014.2377715

    Article  Google Scholar 

  8. Harris CG, Stephens M (1988) A combined corner and edge detector. In: Alvey vision conference, vol 50. Citeseer, pp 10–5244

  9. Hartmann C, Wang J, Opristescu D, Volk W (2018) Implementation and evaluation of optical flow methods for two-dimensional deformation measurement in comparison to digital image correlation. Opt Lasers Eng 107:127–141. https://doi.org/10.1016/j.optlaseng.2018.03.021

    Article  Google Scholar 

  10. Hasan A, Alshibli KA (2010) Experimental assessment of 3D particle-to-particle interaction within sheared sand using synchrotron microtomography. Géotechnique 60(5):369–379. https://doi.org/10.1680/geot.2010.60.5.369

    Article  Google Scholar 

  11. Higo Y, Oka F, Sato T, Matsushima Y, Kimoto S (2013) Investigation of localized deformation in partially saturated sand under triaxial compression using microfocus X-ray CT with digital image correlation. Soils Found 53(2):181–198. https://doi.org/10.1016/j.sandf.2013.02.001

    Article  Google Scholar 

  12. Kido R, Higo Y (2017) Evaluation of distribution of void ratio and degree of saturation in partially saturated triaxial sand specimen using micro X-ray tomography. Jpn Geotech Soc Spec Publ 5(2):22–27. https://doi.org/10.3208/jgssp.v05.006

    Article  Google Scholar 

  13. Laloui L, Peron H, Geiser F, Rifa A, Vulliet L (2006) Advances in volume measurement in unsaturated soil triaxial tests. Soils Found 46(3):341–349. https://doi.org/10.3208/sandf.46.341

    Article  Google Scholar 

  14. 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  MathSciNet  Google Scholar 

  15. Liu X, Shao L, Guo X (2013) Local data analysis for eliminating end restraint of triaxial specimen. Trans Tianjin Univ 19(5):372–380. https://doi.org/10.1007/s12209-013-2000-1

    Article  Google Scholar 

  16. Messerklinger S, Springman SM (2007) Local radial displacement measurements of soil specimens in a triaxial test apparatus using laser transducers. Geotech Test J 30(6):454–465

    Google Scholar 

  17. Mousa A (2017) Revisiting the calibration philosophy of constitutive models in geomechanics. Int J Geomech 17(8):06017002

    Article  Google Scholar 

  18. Nawir H, Apoji D, Ekawita R, Khairurrijal K (2018) Axial and lateral small strain measurement of soils in compression test using local deformation transducer. J Eng Technol Sci 50(1):53–72. https://doi.org/10.5614/j.eng.technol.sci.2018.50.1.4

    Article  Google Scholar 

  19. Ng CWW, Zhan LT, Cui YJ (2002) A new simple system for measuring volume changes in unsaturated soils. Can Geotech J 39(3):757–764. https://doi.org/10.1139/t02-015

    Article  Google Scholar 

  20. 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 

  21. 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 

  22. Salazar S, Miramontes L, Barnes A, Bernhardt-Barry M, Coffman R (2019) Verification of an internal close-range photogrammetry approach for volume determination during triaxial testing. Geotech Test J . https://doi.org/10.1520/GTJ20170125

    Article  Google Scholar 

  23. Shao LT, Liu G, Zeng FT, Guo XX (2016) Recognition of the stress–strain curve based on the local deformation measurement of soil specimens in the triaxial test. Geotech Test J 39(4):658–672. https://doi.org/10.1520/gtj20140273

    Article  Google Scholar 

  24. Sutton MA, Wolters WJ, Peters WH, Ranson WF, McNeill SR (1983) Determination of displacements 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 

  25. Sutton MA, Orteu JJ, Schreier H (2009) Image correlation for shape, motion and deformation measurements: basic concepts, theory and applications. Springer, Berlin. https://doi.org/10.1007/978-0-387-78747-3

    Book  Google Scholar 

  26. 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 

  27. Unser M, Aldroubi A, Eden M (1993) B-spline signal processing. I. Theory. IEEE Trans Signal Process 41(2):821–833. https://doi.org/10.1109/78.193220

    Article  MATH  Google Scholar 

  28. Wang H, Sato T, Koseki J, Chiaro G, Tan Tian J (2016) A system to measure volume change of unsaturated soils in undrained cyclic triaxial tests. Geotech Test J 39(4):532–542. https://doi.org/10.1520/GTJ20150125

    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. Witowski M (2018) Local displacement transducer with miniature position encoder. Geotech Test J 41(6):1147–1154. https://doi.org/10.1520/GTJ20170016

    Article  Google Scholar 

  31. Xiao H, Lee FH, Yao K, Ho J, Liu Y (2019) Miniature LVDT setup for local strain measurement on cement-treated clay specimens. Mar Georesour Geotechnol 37(8):989–998. https://doi.org/10.1080/1064119X.2018.1460428

    Article  Google Scholar 

  32. Yuan Y, Zhan Q, Xiong C, Huang J (2017) Digital image correlation based on a fast convolution strategy. Opt Lasers Eng 97:52–61. https://doi.org/10.1016/j.optlaseng.2017.05.010

    Article  Google Scholar 

  33. Zeng F, Shao L (2016) Unloading elastic behavior of sand in cyclic triaxial tests. Geotech Test J 39(3):20150171. https://doi.org/10.1520/gtj20150171

    Article  Google Scholar 

  34. Zhang Z (2000) A flexible new technique for camera calibration. IEEE Trans Pattern Anal Mach Intell 22(11):1330–1334. https://doi.org/10.1109/34.888718

    Article  Google Scholar 

  35. Zhang X, Mavroulidou M, Gunn MJ, Sutton J, Cabarkapa Z, Kichou Z (2013) Application of a novel laser sensor volume measurement system to the triaxial testing of an unsaturated lime-treated soil. Acta Geotech 9(6):945–957. https://doi.org/10.1007/s11440-013-0254-3

    Article  Google Scholar 

  36. Zhang X, Li L, Chen G, Lytton R (2014) 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 

  37. Zielinski M, Sánchez M, Romero E, Atique A (2014) Precise observation of soil surface curling. Geoderma 226–227:85–93. https://doi.org/10.1016/j.geoderma.2014.02.005

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 51309047 and 51975082).

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Authors and Affiliations

  1. Mechanical and Electrical Engineering Institute, Zhengzhou University of Light Industry, No. 5, Dong Feng Road, Zhengzhou City, 450002, Henan Province, China

    Pengpeng Wang

  2. Department of Engineering Mechanics, Dalian University of Technology, No. 2, Ling Gong Road, Dalian City, 116024, Liaoning Province, China

    Pengpeng Wang, Xiaoxia Guo, Longtan Shao, Zenan Yin & Yudi Wang

  3. Key Laboratory for Precision and Non-Traditional Machining Technology, Ministry of Education, Dalian University of Technology, Dalian City, 116024, Liaoning Province, China

    Yong Sang

  4. School of Mechanical Engineering, Dalian University of Technology, Dalian City, 116024, Liaoning Province, China

    Yong Sang

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  1. Pengpeng Wang
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  2. Xiaoxia Guo
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  4. Longtan Shao
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Correspondence to Xiaoxia Guo.

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

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