Abstract
In inverse finite element-based analysis, complete experimental data collection is critical for multi-parameter identification and physical modeling of all kinds of materials. In this paper, diffraction-assisted image correlation (DAIC) is improved and proposed for the deformation measurement of a soft material under indentation with no blind area. A simple and convenient image-based 3D calibration method was developed, and more accurate formulations for 3D displacement measurement based on a more rigorous imaging model were derived. Using the improved DAIC, a newly developed imaging device with indenter-fixed loading and no blind area is proposed that allows 3D displacements of the whole upper surface of a soft silica gel specimen to be retrieved. The experimental results demonstrate that the proposed method is an accurate, efficient and convenient tool with a simple structure for 3D indentation deformation measurement and illustrate its capabilities to capture deformation in indentation tests with tough testing requirements, such as in situ measurement with limited access (high integration level) and dynamic testing (capturing of synchronously stereo images).
Similar content being viewed by others
References
Robitaille M, Belisle N, Dang S, Faigle E, Morck C, Uth P, Wan KT (2014) An optical topographic technique to map the 3-D deformed profile of a convex lens under external loading. Exp Mech 55(3):641–646. doi:10.1007/s11340-014-9970-3
Then C, Vogl TJ, Silber G (2012) Method for characterizing viscoelasticity of human gluteal tissue. J Biomech 45(7):1252–1258. doi:10.1016/j.jbiomech.2012.01.037
Jordan P, Socrate S, Zickler TE, Howe RD (2009) Constitutive modeling of porcine liver in indentation using 3D ultrasound imaging. J Mech Behav Biomed Mater 2(2):192–201. doi:10.1016/j.jmbbm.2008.08.006
Sasson A, Patchornik S, Eliasy R, Robinson D, Haj-Ali R (2012) Hyperelastic mechanical behavior of chitosan hydrogels for nucleus pulposus replacement-experimental testing and constitutive modeling. J Mech Behav Biomed Mater 8:143–153. doi:10.1016/j.jmbbm.2011.12.008
Moerman KM, Holt CA, Evans SL, Simms CK (2009) Digital image correlation and finite element modelling as a method to determine mechanical properties of human soft tissue in vivo. J Biomech 42(8):1150–1153
Ahn B, Kim J (2010) Measurement and characterization of soft tissue behavior with surface deformation and force response under large deformations. Med Image Anal 14(2):138–148. doi:10.1016/j.media.2009.10.006
Genovese K, Montes A, Martínez A, Evans SL (2015) Full-surface deformation measurement of anisotropic tissues under indentation. Med Eng Phys 37(5):484–493
Avril S, Bonnet M, Bretelle A-S, Grédiac M, Hild F, Ienny P, Latourte F, Lemosse D, Pagano S, Pagnacco E (2008) Overview of identification methods of mechanical parameters based on full-field measurements. Exp Mech 48(4):381–402
Grédiac M, Pierron F, Avril S, Toussaint E (2006) The virtual fields method for extracting constitutive parameters from full-field measurements: a review. Strain 42(4):233–253
Dai X, Xie H, Dai X, Xie H (2015) Constitutive parameter identification of 3D printing material based on the virtual fields method. Measurement 59(59):38–43
Zhou M, Xie H, Wu L (2016) Virtual fields method coupled with moiré interferometry: special considerations and application. Opt Lasers Eng 87:214–222
Hild F, Roux S (2006) Digital image correlation: from displacement measurement to identification of elastic properties–a review. Strain 42(2):69–80
Gao J, Shang H (2009) Deformation-pattern-based digital image correlation method and its application to residual stress measurement. Appl Opt 48(7):1371–1381
Liu Z, Gao J (2011) Deformation-pattern-based digital speckle correlation for coefficient of thermal expansion evaluation of film. Opt Express 19(18):17469–17479
Dong J, Liu Z, Gao J (2016) Multi-parameter inversion and Thermo-mechanical deformation decoupling using I-DIC. Exp Mech 57(1):31–39
Moerman KM, Sprengers AM, Nederveen AJ, Simms CK (2013) A novel MRI compatible soft tissue indentor and fibre Bragg grating force sensor. Med Eng Phys 35(4):486–499. doi:10.1016/j.medengphy.2012.06.014
Pankow M, Justusson B, Waas AM (2010) Three-dimensional digital image correlation technique using single high-speed camera for measuring large out-of-plane displacements at high framing rates. Appl Opt 49(17):3418–3427
Yu L, Pan B (2016) Single-camera stereo-digital image correlation with a four-mirror adapter: optimized design and validation. Opt Lasers Eng 87:120–128
Pan Z, Xia S, Gdoutou A, Ravichandran G (2015) Diffraction-assisted image correlation for three-dimensional surface profiling. Exp Mech 55(1):155–165
Pan B, Wang Q (2013) Single-camera microscopic stereo digital image correlation using a diffraction grating. Opt Express 21(21):25056–25068
Wu L, Zhu J, Xie H (2015) Single-lens 3D digital image correlation system based on a bilateral telecentric lens and a bi-prism: validation and application. Appl Opt 54(26):7842–7850. doi:10.1364/AO.54.007842
Wu LF, Zhu JG, Xie HM, Zhang Q (2016) An accurate method for shape retrieval and displacement measurement using bi-prism-based single lens 3D digital image correlation. Exp Mech 56(9):1–14
Wu L, Zhu J, Xie H, Zhou M (2016) Single-lens 3D digital image correlation system based on a bilateral telecentric lens and a bi-prism: systematic error analysis and correction. Opt Lasers in Eng 87:129–138
Xia S, Gdoutou A, Ravichandran G (2013) Diffraction assisted image correlation: a novel method for measuring three-dimensional deformation using two-dimensional digital image correlation. Exp Mech 53(5):755–765
Pan B, Qian K, Xie H, Asundi A (2009) Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review. Meas Sci Technol 20(6):152–154
Bing P, Hui-min X, Tao H, Asundi A (2009) Measurement of coefficient of thermal expansion of films using digital image correlation method. Polym Test 28(1):75–83. doi:10.1016/j.polymertesting.2008.11.004
Bouguet JY (2013) Camera calibration toolbox for matlab. http://www.vision.caltech.edu/bouguetj/calib_doc
Blaber J, Adair B, Antoniou A (2015) Ncorr: open-source 2D digital image correlation Matlab software. Exp Mech 55(6):1105–1122. doi:10.1007/s11340-015-0009-1
Acknowledgments
This work was financially supported by the National Natural Science Foundation of China (11232008, 11372037, and 11572041) and the Program for New Century Excellent Talents in University (NCET-12-0036).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Dong, J., Liu, Z.W. & Gao, J.X. 3D Deformation Measurement of Soft Material under Indentation Using Improved Diffraction-Assisted Image Correlation. Exp Mech 58, 87–98 (2018). https://doi.org/10.1007/s11340-017-0326-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11340-017-0326-7