Advertisement

Uncertainty Quantification in VFM Identification

  • P. Wang
  • F. PierronEmail author
  • O. T. Thomsen
  • M. Rossi
  • P. Lava
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)

Abstract

This article presents a methodology to optimize the design of a mechanical test to characterize all the material stiffness parameters of a PVC foam material in one single test. The two main experimental techniques used in this study are Digital Image Correlation and The Virtual Fields Method. The actual image recording process was mimicked by numerically generating a series of deformed synthetic images. Then the whole measurement procedure was simulated by processing the synthetic images with DIC and VFM routines. This procedure was used to predict the uncertainty of the measurements (systematic and random errors) by including the most significant parameters in actual experiments. By using these parameters as design variables and defining several error functions, the optimization study was performed to minimize the uncertainty of the identification and select the optimal test parameters. The simulated confidence intervals of the identified parameters were defined based on the predicted systematic and random errors. The simulated experimental results also indicated that averaging multiple images could lead to a significant reduction of the random error. The experimental validation was conducted using the optimized test parameters obtained from the numerical study. The results displayed a very good consistency with the simulation.

Keywords

Virtual fields method Composites Arcan test Uncertainty Full-field measurements 

References

  1. 1.
    Kanny K, Mahfuz H, Thomas T, Jeelani S (2004) Static and dynamic characterization of polymer foams under shear loads. J Compos Mater 38(8):629–639CrossRefGoogle Scholar
  2. 2.
    Kabir ME, Saha MC, Jeelani S (2006) Tensile and fracture behavior of polymer foams. Mater Sci Eng A 429(1–2):225–235CrossRefGoogle Scholar
  3. 3.
    Daniel I, Cho JM (2011) Characterization of anisotropic polymeric foam under static and dynamic loading. Exp Mech 51(8):1395–1403CrossRefGoogle Scholar
  4. 4.
    Zhang S, Dulieu-Barton JM, Fruehmann R, Thomsen OT (2012) A methodology for obtaining material properties of polymeric foam at elevated temperatures. Exp Mech 52(1):3–15CrossRefGoogle Scholar
  5. 5.
    Taher ST, Thomsen OT, Dulieu-Barton JM, Zhang S (2011) Determination of mechanical properties of PVC foam using a modified Arcan fixture. Compos Part A Appl Sci Manuf 43(10):1698–1708CrossRefGoogle Scholar
  6. 6.
    DIAB (2011) Divinycell PVC datasheet. http://www.diabgroup.com
  7. 7.
    Avril S, Bonnet M, Bretelle A-S, Grédiac M, Hild F, Ienny P, Latourte F, Lemosse D, Pagano S, Pagnacco E, Pierron F (2008) Overview of identification methods of mechanical parameters based on full-field measurements. Exp Mech 48(4):381–402CrossRefGoogle Scholar
  8. 8.
    Pierron F, Grédiac M (2012) The virtual fields method. Springer New York. ISBN 978-1-4614-1823-8Google Scholar
  9. 9.
    Sutton MA, Orteu JJ, Schreier HW (2009) Image correlation for shape, motion and deformation measurements: basic concepts, theory and applications. Springer New YorkGoogle Scholar
  10. 10.
    Pierron F, Vert G, Burguete R, Avril S, Rotinat R, Wisnom M (2007) Identification of the orthotropic elastic stiffnesses of composites with the virtual fields method: sensitivity study and experimental validation. Strain 43(3):250–259CrossRefGoogle Scholar
  11. 11.
    Rossi M, Pierron F (2012) On the use of simulated experiments in designing tests for material characterization from full-field measurements. Int J Solids Struct 49(3–4):420–435CrossRefGoogle Scholar
  12. 12.
    Wang P, Pierron F, Thomsen OT (2013) Identification of material parameters of PVC foams using digital image correlation and the virtual fields method. Exp Mech 53(6):1001–1015CrossRefGoogle Scholar
  13. 13.
    Rossi M, Lava P, Pierron F, Debruyne D, Sasso M (2013) Error assessment on combining DIC and VFM to design an optimized experimental setup for material identification. Int J Solids Struct submitted.Google Scholar
  14. 14.
    Moulart R, Avril S, Pierron F (2006) Identification of the through-thickness rigidities of a thick laminated composite tube. Compos Part A Appl Sci Manuf 37(2):326–336CrossRefGoogle Scholar
  15. 15.
    Wang P, Rossi M, Lava P, Pierron F, Thomsen OT (2014) Optimized experimental characterization of polymeric foam material using DIC and the Virtual Fields Method. (in preparation)Google Scholar

Copyright information

© The Society for Experimental Mechanics, Inc. 2015

Authors and Affiliations

  • P. Wang
    • 1
  • F. Pierron
    • 2
    Email author
  • O. T. Thomsen
    • 1
    • 2
  • M. Rossi
    • 3
  • P. Lava
    • 3
  1. 1.Department of Mechanical and Manufacturing EngineeringAalborg UniversityAalborgDenmark
  2. 2.Faculty of Engineering and the EnvironmentUniversity of SouthamptonSouthamptonUK
  3. 3.Università Politecnica delle MarcheAnconaItaly

Personalised recommendations