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Finite Element Stereo Digital Image Correlation: Framework and Mechanical Regularization

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Abstract

The use of Finite Element meshes in Digital Image Correlation (FE-DIC) is now widespread in experimental mechanics but, so far, FE have been much less used in Stereo-DIC. The first goal of this paper is to explain in detail how to use FE in Stereo-DIC by means of a formulation in the world coordinate system. More precisely, the paper describes how to calibrate possibly non-linear model of cameras and to measure shapes and displacements with an FE mesh. It also shows that, with such a framework, it is possible to regularize the measurement with an FE model based on the same mesh. For instance, using this technique, it is possible to measure the rotation field of a bending plate in addition to its displacement.

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References

  1. Beaubier B, Dufour JE, Hild F, Roux S, Lavernhe S, Lavernhe-Taillard K (2014) CAD-based calibration and shape measurement with stereoDIC: Principle and application on test and industrial parts. Exp Mech 54(3):329–341. doi:10.1007/s11340-013-9794-6

  2. Besnard G, Hild F, Roux S (2006) ”Finite-Element” Displacement Fields Analysis from Digital Images: Application to Portevin–Le Châtelier Bands. Exp Mech 46(6):789–803. doi:10.1007/s11340-006-9824-8

    Article  Google Scholar 

  3. Dufour JE, Beaubier B, Hild F, Roux S (2015) CAD-based Displacement Measurements with Stereo-DIC: Principle and First Validations. Exp Mech. doi:10.1007/s11340-015-0065-6

    Google Scholar 

  4. Dufour JE, Hild F, Roux S (2015) Shape, displacement and mechanical properties from isogeometric multiview stereocorrelation. The Journal of Strain Analysis for Engineering Design. doi:10.1177/0309324715592530

    Google Scholar 

  5. Garcia D, Orteu JJ (2001) 3d deformation measurement using stereo-correlation applied to experimental mechanics. In: Proceedings of the 10th FIG International Symposium Deformation measurements, pp 19–22

  6. Horn BKP, Schunck BG (1981) Determining optical flow. Artif Intell 17 (1–3):185–203. doi:10.1016/0004-3702(81)90024-2

    Article  Google Scholar 

  7. Lawson C, Hanson R (1995) Solving Least Squares Problems. Soc Ind Appl Math. doi:10.1137/1.9781611971217

  8. Leclerc H, Périé JN, Hild F, Roux S (2012) Digital volume correlation: what are the limits to the spatial resolution? Mechanics & Industry 13(06):361–371

    Article  Google Scholar 

  9. Leclerc H, Périé JN, Roux S, Hild F (2009) Integrated Digital Image Correlation for the Identification of Mechanical Properties. In: gagalowicz A, Philips W (eds) Computer Vision/Computer Graphics CollaborationTechniques, no. 5496 in Lecture Notes in Computer Science. Springer, Berlin Heidelberg, pp 161– 171

  10. Leclerc H, Périé JN, Roux S, Hild F (2011) Voxel-Scale Digital Volume Correlation. Exp Mech 51(4):479–490. doi:10.1007/s11340-010-9407-6

  11. Lucas BD, Kanade T (1981) An iterative image registration technique with an application to stereo vision. In: Proceedings of Imaging Understanding workshop, pp 121–130

  12. Miller K (1970) Least squares methods for ill-posed problems with a prescribed bound. SIAM J Math Anal 1(1):52–74. doi:10.1137/0501006

    Article  MathSciNet  MATH  Google Scholar 

  13. Passieux JC (2015) Quelques outils numériques pour la simulation et la mesure en mécanique des structures. Habilitation à diriger des recherches de l’université de Toulouse 122p. http://hal.archives-ouvertes.fr/tel-01370556

  14. Passieux JC, Bugarin F, David C, Périé JN, Robert L (2015) Multiscale Displacement Field Measurement Using Digital Image Correlation: Application to the Identification of Elastic Properties. Exp Mech 55 (1):121–137. doi:10.1007/s11340-014-9872-4

    Article  Google Scholar 

  15. Passieux JC, Périé JN, Salaün M (2015) A dual domain decomposition method for finite element digital image correlation. Int J Numer Methods Eng 102(10):1670–1682. doi:10.1002/nme.4868

    Article  MathSciNet  MATH  Google Scholar 

  16. Passieux JC, Réthoré J, Gravouil A, Baietto MC (2013) Local/global non-intrusive crack propagation simulation using a multigrid X-FEM solver. Comput Mech 52(6):1381–1393. doi:10.1007/s00466-013-0882-3

    Article  MATH  Google Scholar 

  17. Pierré JE, Passieux JC, Périé JN, Bugarin F, Robert L (2016) Unstructured finite element-based digital image correlation with enhanced management of quadrature and lens distortions. Opt Lasers Eng 77:44–53. doi:10.1016/j.optlaseng.2015.07.008

    Article  Google Scholar 

  18. Roux S, Hild F (2006) Stress intensity factor measurements from digital image correlation: post-processing and integrated approaches. Int J Fract 140(1-4):141–157. doi:10.1007/s10704-006-6631-2

  19. Roux S, Réthoré J, Hild F (2009) Digital image correlation and fracture: an advanced technique for estimating stress intensity factors of 2d and 3d cracks. J Phys D: Appl Phys 42(21):214,004. doi:10.1088/0022-3727/42/21/214004

    Article  Google Scholar 

  20. Réthoré J (2010) A fully integrated noise robust strategy for the identification of constitutive laws from digital images. Int J Numer Methods Eng 84(6):631–660. doi:10.1002/nme.2908

    Article  MATH  Google Scholar 

  21. Réthoré J (2015) Automatic crack tip detection and stress intensity factors estimation of curved cracks from digital images: AUTOMATIC CRACK TIP DETECTION AND SIF ESTIMATION OF CURVED CRACKS. Int J Numer Methods Eng 103(7):516–534. doi:10.1002/nme.4905

    Article  MATH  Google Scholar 

  22. Réthoré J, Muhibullah, Elguedj T, Coret M, Chaudet P, Combescure A (2013) Robust identification of elasto-plastic constitutive law parameters from digital images using 3d kinematics. Int J Solids Struct 50(1):73–85. doi:10.1016/j.ijsolstr.2012.09.002

    Article  Google Scholar 

  23. Sun Y, Pang JHL, Wong CK, Su F (2005) Finite element formulation for a digital image correlation method. Appl Opt 44(34):7357–7363. doi:10.1364/AO.44.007357

    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. doi:10.1016/0262-8856(83)90064-1

  25. Sutton MA, Yan JH, Tiwari V, Schreier HW, Orteu JJ (2008) The effect of out-of-plane motion on 2d and 3d digital image correlation measurements. Opt Lasers Eng 46(10):746–757. doi:10.1016/j.optlaseng.2008.05.005

    Article  Google Scholar 

  26. Sztefek P, Olsson R (2008) Tensile stiffness distribution in impacted composite laminates determined by an inverse method. Compos A: Appl Sci Manuf 39(8):1282–1293. doi:10.1016/j.compositesa.2007.10.005

    Article  Google Scholar 

  27. Sztefek P, Olsson R (2009) Nonlinear compressive stiffness in impacted composite laminates determined by an inverse method. Compos A: Appl Sci Manuf 40(3):260–272. doi:10.1016/j.compositesa.2008.12.002

  28. Triggs B, McLauchlan PF, Hartley RI, Fitzgibbon AW (2000) Bundle adjustment—a modern synthesis. In: Vision algorithms: theory and practice. Springer, pp 298–372

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Acknowledgments

This work was funded by the French “Agence Nationale de la Recherche” under the grant ANR-12-RMNP-0001 (VERTEX project).

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Correspondence to J.-C. Passieux.

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Pierré, JE., Passieux, JC. & Périé, JN. Finite Element Stereo Digital Image Correlation: Framework and Mechanical Regularization. Exp Mech 57, 443–456 (2017). https://doi.org/10.1007/s11340-016-0246-y

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  • DOI: https://doi.org/10.1007/s11340-016-0246-y

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