On the boundary conditions and optimization methods in integrated digital image correlation

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

1 Citation (Scopus)
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Abstract

In integrated digital image correlation (IDIC) methods attention must be paid to the influence of using a correct geometric and material model, but also to make the boundary conditions in the FE simulation match the real experiment. Another issue is the robustness and convergence of the IDIC algorithm itself, especially in cases when (FEM) simulations are slow. These two issues have been explored in this proceeding. The basis of the algorithm is the minimization of the residual. Different approaches for this minimization exist, of which a Gauss-Newton method is used most often. In this paper several other methods are presented as well and their performance is compared in terms of number of FE simulations needed, since this is the most time-consuming step in the iterative procedure. Beside method-specific recommendations, the main finding of this work is that, in practical use of IDIC, it is recommended to start using a very robust, but slow, derivative-free optimization method (e.g. Nelder-Mead) to determine the search direction and increasing the initial guess accuracy, while after some iterations, it is recommended to switch to a faster gradient-based method, e.g. (update-limited) Gauss-Newton.

Original languageEnglish
Title of host publicationAdvancement of Optical Methods in Experimental Mechanics, Volume 3
Subtitle of host publicationproceedings of the 2017 Annual Conference on Experimental and Applied Mechanics
EditorsL. Lamberti, M.-T. Lin, C. Furlong, C. Sciammarella
Place of PublicationDordrecht
PublisherSpringer
Pages55-61
Number of pages7
ISBN (Print)9783319630274
DOIs
Publication statusPublished - 2018
Event2017 Annual Conference and Exposition on Experimental and Applied Mechanics - Indianapolis, United States
Duration: 12 Jun 201715 Jun 2017

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)

Conference

Conference2017 Annual Conference and Exposition on Experimental and Applied Mechanics
CountryUnited States
CityIndianapolis
Period12/06/1715/06/17

Fingerprint

Boundary conditions
Correlation methods
Newton-Raphson method
Switches
Derivatives
Finite element method
Experiments

Keywords

  • Boundary conditions
  • Gauss-Newton
  • Integrated digital image correlation
  • Nelder-mead
  • Optimization methods
  • Trust-region

Cite this

Kleinendorst, S. M., Verhaegh, B. J., Hoefnagels, J. P. M., Ruybalid, A., van der Sluis, O., & Geers, M. G. D. (2018). On the boundary conditions and optimization methods in integrated digital image correlation. In L. Lamberti, M-T. Lin, C. Furlong, & C. Sciammarella (Eds.), Advancement of Optical Methods in Experimental Mechanics, Volume 3: proceedings of the 2017 Annual Conference on Experimental and Applied Mechanics (pp. 55-61). (Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)). Dordrecht: Springer. https://doi.org/10.1007/978-3-319-63028-1_9
Kleinendorst, S.M. ; Verhaegh, B.J. ; Hoefnagels, J.P.M. ; Ruybalid, A. ; van der Sluis, O. ; Geers, M.G.D. / On the boundary conditions and optimization methods in integrated digital image correlation. Advancement of Optical Methods in Experimental Mechanics, Volume 3: proceedings of the 2017 Annual Conference on Experimental and Applied Mechanics. editor / L. Lamberti ; M.-T. Lin ; C. Furlong ; C. Sciammarella. Dordrecht : Springer, 2018. pp. 55-61 (Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)).
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abstract = "In integrated digital image correlation (IDIC) methods attention must be paid to the influence of using a correct geometric and material model, but also to make the boundary conditions in the FE simulation match the real experiment. Another issue is the robustness and convergence of the IDIC algorithm itself, especially in cases when (FEM) simulations are slow. These two issues have been explored in this proceeding. The basis of the algorithm is the minimization of the residual. Different approaches for this minimization exist, of which a Gauss-Newton method is used most often. In this paper several other methods are presented as well and their performance is compared in terms of number of FE simulations needed, since this is the most time-consuming step in the iterative procedure. Beside method-specific recommendations, the main finding of this work is that, in practical use of IDIC, it is recommended to start using a very robust, but slow, derivative-free optimization method (e.g. Nelder-Mead) to determine the search direction and increasing the initial guess accuracy, while after some iterations, it is recommended to switch to a faster gradient-based method, e.g. (update-limited) Gauss-Newton.",
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Kleinendorst, SM, Verhaegh, BJ, Hoefnagels, JPM, Ruybalid, A, van der Sluis, O & Geers, MGD 2018, On the boundary conditions and optimization methods in integrated digital image correlation. in L Lamberti, M-T Lin, C Furlong & C Sciammarella (eds), Advancement of Optical Methods in Experimental Mechanics, Volume 3: proceedings of the 2017 Annual Conference on Experimental and Applied Mechanics. Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS), Springer, Dordrecht, pp. 55-61, 2017 Annual Conference and Exposition on Experimental and Applied Mechanics, Indianapolis, United States, 12/06/17. https://doi.org/10.1007/978-3-319-63028-1_9

On the boundary conditions and optimization methods in integrated digital image correlation. / Kleinendorst, S.M.; Verhaegh, B.J.; Hoefnagels, J.P.M.; Ruybalid, A.; van der Sluis, O.; Geers, M.G.D.

Advancement of Optical Methods in Experimental Mechanics, Volume 3: proceedings of the 2017 Annual Conference on Experimental and Applied Mechanics. ed. / L. Lamberti; M.-T. Lin; C. Furlong; C. Sciammarella. Dordrecht : Springer, 2018. p. 55-61 (Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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Kleinendorst SM, Verhaegh BJ, Hoefnagels JPM, Ruybalid A, van der Sluis O, Geers MGD. On the boundary conditions and optimization methods in integrated digital image correlation. In Lamberti L, Lin M-T, Furlong C, Sciammarella C, editors, Advancement of Optical Methods in Experimental Mechanics, Volume 3: proceedings of the 2017 Annual Conference on Experimental and Applied Mechanics. Dordrecht: Springer. 2018. p. 55-61. (Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)). https://doi.org/10.1007/978-3-319-63028-1_9