Skip to main content
Top

2024 | OriginalPaper | Chapter

Finite Element Based Material Property Identification Utilizing Full-Field Deformation Measurements

Authors : Sreehari Rajan Kattil, Subramani Sockalingam, Michael A. Sutton, Tusit Weerasooriya

Published in: Additive and Advanced Manufacturing, Inverse Problem Methodologies and Machine Learning and Data Science, Volume 4

Publisher: Springer Nature Switzerland

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

A direct approach based on finite element formulation is described to determine material property distribution in a nominally heterogeneous material subject to tensile/compression loading. The formulation is developed for plane stress applications using basic theoretical constructs, resulting in a computational framework that has a matrix form [A] {E} = {F}, where the [A] matrix components are known functions of measured strain components and nodal coordinates, {F} components are known functions of body forces, applied loads and reactions and {E} components are the unknown material properties at discrete locations. A methodology for material property identification is outlined, involving measured strain components at discrete locations amid varying levels of random noise. The presented results illustrate the accuracy of the approach as well as it’s sensitivity to noise.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Sutton, M.A., Orteu, J.J., Schreier, H.: Image Correlation for Shape, Motion and Deformation Measurements: Basic Concepts, Theory and Applications. Springer Science & Business Media, New York (2009) Sutton, M.A., Orteu, J.J., Schreier, H.: Image Correlation for Shape, Motion and Deformation Measurements: Basic Concepts, Theory and Applications. Springer Science & Business Media, New York (2009)
2.
go back to reference Chu, T.C., Ranson, W.F., Sutton, M.A.: Applications of digital-image-correlation techniques to experimental mechanics. Exp. Mech. 25, 232–244 (1985)CrossRef Chu, T.C., Ranson, W.F., Sutton, M.A.: Applications of digital-image-correlation techniques to experimental mechanics. Exp. Mech. 25, 232–244 (1985)CrossRef
3.
go back to reference Sutton, M.A., Matta, F., Rizos, D., Ghorbani, R., Rajan, S., Mollenhauer, D.H., Schreier, H.W., Lasprilla, A.O.: Recent progress in digital image correlation: background and developments since the 2013 WM Murray Lecture. Exp. Mech. 57, 1–30 (2017)CrossRef Sutton, M.A., Matta, F., Rizos, D., Ghorbani, R., Rajan, S., Mollenhauer, D.H., Schreier, H.W., Lasprilla, A.O.: Recent progress in digital image correlation: background and developments since the 2013 WM Murray Lecture. Exp. Mech. 57, 1–30 (2017)CrossRef
4.
go back to reference Yasmeen, F., Balcaen, R., Sutton, M.A., Debruyne, D., Rajan, S., Schreier, H.W.: Sensitivity of in-plane strain measurement to calibration parameter for out-of-plane specimen rotations. Exp. Mech. 58, 1115–1132 (2018) Yasmeen, F., Balcaen, R., Sutton, M.A., Debruyne, D., Rajan, S., Schreier, H.W.: Sensitivity of in-plane strain measurement to calibration parameter for out-of-plane specimen rotations. Exp. Mech. 58, 1115–1132 (2018)
5.
go back to reference Rajan, S., Sutton, M.A., Rizos, D.C., Ortiz, A.R., Zeitouni, A., Caicedo, J.M.: A stereovision deformation measurement system for transfer length estimates in prestressed concrete. Exp. Mech. 58, 1035–1048 (2018) Rajan, S., Sutton, M.A., Rizos, D.C., Ortiz, A.R., Zeitouni, A., Caicedo, J.M.: A stereovision deformation measurement system for transfer length estimates in prestressed concrete. Exp. Mech. 58, 1035–1048 (2018)
6.
go back to reference Yasmeen, F., Sreehari R., Michael, A.S., Schreier, H.W.: Experimental study of measurement errors in 3D-DIC due to out-of-plane specimen rotation. In International Digital Imaging Correlation Society: Proceedings of the First Annual Conference, 2016, pp. 211–215. Springer International Publishing (2017) Yasmeen, F., Sreehari R., Michael, A.S., Schreier, H.W.: Experimental study of measurement errors in 3D-DIC due to out-of-plane specimen rotation. In International Digital Imaging Correlation Society: Proceedings of the First Annual Conference, 2016, pp. 211–215. Springer International Publishing (2017)
7.
go back to reference Mathieu, F., Leclerc, H., Hild, F., Roux, S.: Estimation of elastoplastic parameters via weighted FEMU and integrated-DIC. Exp. Mech. 55, 105–119 (2015)CrossRef Mathieu, F., Leclerc, H., Hild, F., Roux, S.: Estimation of elastoplastic parameters via weighted FEMU and integrated-DIC. Exp. Mech. 55, 105–119 (2015)CrossRef
8.
go back to reference Rokoš, O., Hoefnagels, J.P.M., Peerlings, R.H.J., Geers, M.G.D.: On micromechanical parameter identification with integrated DIC and the role of accuracy in kinematic boundary conditions. Int. J. Solids Struct. 146, 241–259 (2018)CrossRef Rokoš, O., Hoefnagels, J.P.M., Peerlings, R.H.J., Geers, M.G.D.: On micromechanical parameter identification with integrated DIC and the role of accuracy in kinematic boundary conditions. Int. J. Solids Struct. 146, 241–259 (2018)CrossRef
9.
go back to reference Neggers, J., Hoefnagels, J.P.M., Geers, M.G.D., Hild, F., Roux, S.: Time-resolved integrated digital image correlation. Int. J. Numer. Methods Eng. 103(3), 157–182 (2015)MathSciNetCrossRef Neggers, J., Hoefnagels, J.P.M., Geers, M.G.D., Hild, F., Roux, S.: Time-resolved integrated digital image correlation. Int. J. Numer. Methods Eng. 103(3), 157–182 (2015)MathSciNetCrossRef
10.
go back to reference Bertin, M., et al.: Integrated digital image correlation applied to elastoplastic identification in a biaxial experiment. J. Strain Anal. Eng. Des. 51(2), 118–131 (2016)CrossRef Bertin, M., et al.: Integrated digital image correlation applied to elastoplastic identification in a biaxial experiment. J. Strain Anal. Eng. Des. 51(2), 118–131 (2016)CrossRef
11.
go back to reference Hartmann, S., Gilbert, R.R.: Material parameter identification using finite elements with time-adaptive higher-order time integration and experimental full-field strain information. Comput. Mech. 68(3), 633–650 (2021)MathSciNetCrossRef Hartmann, S., Gilbert, R.R.: Material parameter identification using finite elements with time-adaptive higher-order time integration and experimental full-field strain information. Comput. Mech. 68(3), 633–650 (2021)MathSciNetCrossRef
12.
go back to reference Guery, A., et al.: Identification of crystal plasticity parameters using DIC measurements and weighted FEMU. Mech. Mater. 100, 55–71 (2016)CrossRef Guery, A., et al.: Identification of crystal plasticity parameters using DIC measurements and weighted FEMU. Mech. Mater. 100, 55–71 (2016)CrossRef
13.
go back to reference Pierron, F., Grédiac, M.: The Virtual Fields Method: Extracting Constitutive Mechanical Parameters from Full-Field Deformation Measurements. Springer Science & Business Media, New York (2012)CrossRef Pierron, F., Grédiac, M.: The Virtual Fields Method: Extracting Constitutive Mechanical Parameters from Full-Field Deformation Measurements. Springer Science & Business Media, New York (2012)CrossRef
14.
go back to reference Pierron, F., Vert, G., Burguete, R., Avril, S., Rotinat, R., Wisnom, M.R.: Identification of the orthotropic elastic stiffnesses of composites with the virtual fields method: sensitivity study and experimental validation. Strain. 43(3), 250–259 (2007)CrossRef Pierron, F., Vert, G., Burguete, R., Avril, S., Rotinat, R., Wisnom, M.R.: Identification of the orthotropic elastic stiffnesses of composites with the virtual fields method: sensitivity study and experimental validation. Strain. 43(3), 250–259 (2007)CrossRef
15.
go back to reference Grédiac, M., Pierron, F.: Applying the virtual fields method to the identification of elasto-plastic constitutive parameters. Int. J. Plast. 22(4), 602–627 (2006)CrossRef Grédiac, M., Pierron, F.: Applying the virtual fields method to the identification of elasto-plastic constitutive parameters. Int. J. Plast. 22(4), 602–627 (2006)CrossRef
16.
go back to reference Grediac, M., Pierron, F., Avril, S., Toussaint, E.: The virtual fields method for extracting constitutive parameters from full-field measurements: a review. Strain. 42(4), 233–253 (2006) Grediac, M., Pierron, F., Avril, S., Toussaint, E.: The virtual fields method for extracting constitutive parameters from full-field measurements: a review. Strain. 42(4), 233–253 (2006)
17.
go back to reference Rajan-Kattil, S., Sutton, M.A., Sockalingam, S., Thomas, F., Weerasooriya, T., Alexander, S.: Direct material property determination: one-dimensional formulation utilising full-field deformation measurements. Strain. 58(6), e12427 (2022)CrossRef Rajan-Kattil, S., Sutton, M.A., Sockalingam, S., Thomas, F., Weerasooriya, T., Alexander, S.: Direct material property determination: one-dimensional formulation utilising full-field deformation measurements. Strain. 58(6), e12427 (2022)CrossRef
18.
go back to reference Rajan-Kattil, S.: Use of DIC measurements with finite element models for direct heterogeneous material property determination and wrinkle formation during automated fiber placement. PhD diss., University of South Carolina (2022) Rajan-Kattil, S.: Use of DIC measurements with finite element models for direct heterogeneous material property determination and wrinkle formation during automated fiber placement. PhD diss., University of South Carolina (2022)
Metadata
Title
Finite Element Based Material Property Identification Utilizing Full-Field Deformation Measurements
Authors
Sreehari Rajan Kattil
Subramani Sockalingam
Michael A. Sutton
Tusit Weerasooriya
Copyright Year
2024
DOI
https://doi.org/10.1007/978-3-031-50474-7_12

Premium Partners