Skip to main content
Log in

Measurement of the deformation of sand in a plane strain compression experiment using incremental digital image correlation

  • Research Paper
  • Published:
Acta Geotechnica Aims and scope Submit manuscript

Abstract

This work presents the results from a series of plane strain compression experiments on medium-density sands. In these experiments, a new type of plane strain experimental apparatus and the incremental reliability-guided digital image correlation (RG-DIC) technique are used to research the localized deformation of sand specimens. The new apparatus can reduce the influence of boundary constraints in the experiments. The RG-DIC technique can not only obtain the full-field deformation distribution on the surface of sand specimens to analyse the evolution of the shear band in sand but can also determine the characteristics of the shear band, such as its inclination and thickness. Additionally, a methodology applying bifurcation and statistics has been devised to estimate the moments when the shear band begins and penetrates. These two moments can divide the compression process into three parts: pre-failure, in-failure and post-failure. According to an analysis of the deformation and assumptions regarding the plane strain model, the localized volume can also be estimated. The experimental results indicate that the RG-DIC technique performs well in geotechnical tests of large-scale deformation.

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

Similar content being viewed by others

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. Blaysat B, Grédiac M, Sur F (2016) Effect of interpolation in noise propagation from images to DIC displacement maps. Int J Numer Methods Eng. https://doi.org/10.1002/nme.5212

    Article  Google Scholar 

  3. Desrues J, Chambon R, Mokni M, Mazerolle F (1996) Void ratio evolution inside shear bands in triaxial sand specimens studied by computed tomography. Géotechnique 46(3):529–546

    Article  Google Scholar 

  4. Desrues J, Viggiani G (2004) Strain localization 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 

  5. Finno R, Harris W, Mooney MA, Viggiani G (1997) Shear bands in plane strain compression of loose sand. Geotechnique 47(1):149–165. https://doi.org/10.1680/geot.1997.47.1.149

    Article  Google Scholar 

  6. Gao Y, Cheng T, Su Y, Xu X, Zhang Y, Zhang Q (2015) High-efficiency and high-accuracy digital image correlation for three-dimensional measurement. Opt Lasers Eng 65:73–80. https://doi.org/10.1016/j.optlaseng.2014.05.013

    Article  Google Scholar 

  7. Grant BMB, Stone HJ, Withers PJ, Preuss M (2009) High-temperature strain field measurement using digital image correlation. J Strain Anal Eng Des 44(4):263–271. https://doi.org/10.1243/03093247jsa478

    Article  Google Scholar 

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

    Article  Google Scholar 

  9. Jang D-J, Frost JD (2000) Use of image analysis to study the microstructure of a failed sand specimen. Can Geotech J 37(5):1141–1149. https://doi.org/10.1139/t00-031

    Article  Google Scholar 

  10. 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 

  11. Lewis JP (1995) Fast normalized cross-correlation. In: Paper presented at the vision interface

  12. Lowe DG (2004) Distinctive image features from scale-invariant keypoints. Int J Comput Vis 60(2):91–110. https://doi.org/10.1023/B:VISI.0000029664.99615.94

    Article  Google Scholar 

  13. Pan B, Dafang W, Yong X (2012) Incremental calculation for large deformation measurement using reliability-guided digital image correlation. Opt Lasers Eng 50(4):586–592. https://doi.org/10.1016/j.optlaseng.2011.05.005

    Article  Google Scholar 

  14. 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 

  15. Peters W, Ranson W, Sutton M, Chu T, Anderson J (1983) Application of digital correlation methods to rigid body mechanics. Opt Eng 22(6):738–742. https://doi.org/10.1117/12.7973231

    Article  Google Scholar 

  16. Ra L, Fr J (2003) Digital image correlation to evaluate shear banding in dilative sands. Geotech Test J. https://doi.org/10.1520/GTJ11263J

    Article  Google Scholar 

  17. 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 

  18. 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 

  19. 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):20140273. https://doi.org/10.1520/gtj20140273

    Article  Google Scholar 

  20. Skarżyński Ł, Kozicki J, Tejchman J (2013) Application of DIC technique to concrete—study on objectivity of measured surface displacements. Exp Mech 53(9):1545–1559. https://doi.org/10.1007/s11340-013-9781-y

    Article  Google Scholar 

  21. Stanier SA, Blaber J, Take WA, White DJ (2015) Improved image-based deformation measurement for geotechnical applications. Can Geotech J. https://doi.org/10.1139/cgj-2015-0253

    Article  Google Scholar 

  22. Sutton M, Wolters W, Peters W, Ranson W, McNeill S (1983) Determination of displacements using an improved digital correlation method. Image Vis Comput 1(3):133–139

    Article  Google Scholar 

  23. Thomas T (1958) Plastic flow and fracture in solids. J Math Mech 7:291–322

    MathSciNet  MATH  Google Scholar 

  24. Vanne J, Aho E, Hamalainen TD, Kuusilinna K (2006) A high-performance sum of absolute difference implementation for motion estimation. IEEE Trans Circuits Syst Video Technol 16(7):876–883. https://doi.org/10.1109/TCSVT.2006.877150

    Article  Google Scholar 

  25. Xu J, Moussawi A, Gras R, Lubineau G (2015) Using image gradients to improve robustness of digital image correlation to non-uniform illumination: effects of weighting and normalization choices. Exp Mech 55(5):963–979. https://doi.org/10.1007/s11340-015-9996-1

    Article  Google Scholar 

  26. Yuan Y, Huang J, Peng X, Xiong C, Fang J, Yuan F (2014) Accurate displacement measurement via a self-adaptive digital image correlation method based on a weighted ZNSSD criterion. Opt Lasers Eng 52:75–85. https://doi.org/10.1016/j.optlaseng.2013.07.016

    Article  Google Scholar 

  27. 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 

  28. 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 

Download references

Acknowledgments

The work was supported the National Natural Science Foundation of China (No. 51309047).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Longtan Shao.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

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

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11440-018-0676-z

Keywords

Navigation