A fully integrated noise robust strategy for the identification of constitutive laws from digital images

International Journal for Numerical Methods in Engineering

Volumn 84, Issue 6, 2010, Pages 631-660

  Réthoré, Julien ^a  

^a UNIVERSITÉ DE LYON   (France)

Author keywords

Constitutive law identification; Digital image correlation; Integrated approach; Noise sensitivity

Indexed keywords

COST FUNCTIONS; DIGITAL INTEGRATED CIRCUITS; FINITE ELEMENT METHOD; PARAMETER ESTIMATION;

CONSTITUTIVE LAW; DIGITAL IMAGE CORRELATIONS; FINITE-ELEMENT MODEL UPDATING; FULL-FIELD MEASUREMENT; FULLY INTEGRATED; INTEGRATED APPROACH; NOISE SENSITIVITY; ROBUST IDENTIFICATION;

IMAGE PROCESSING;

EID: 77958615324     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2908     Document Type: Article

References (26)

1. Avril S, Bonnet M, Bretelle A, Grediac M, Hild F, Ienny P, Latourte F, Lemosse D, Pagano S, Pagnacco E, Allix O, Deü JF. Overview of identification methods of mechanical parameters based on full-field measurements. Experimental Mechanics 2008; 48(4):381-402.
2. Grédiac M, Pierron F, Avril S, Toussaint E. The virtual fields method for extracting constitutive parameters from full-field measurements: a review. Strain 2006; 42(4):233-253.
3. Roux S, Hild F. Digital Image Mechanical Identification (DIMI). Experimental Mechanics 2008; 48(4):495-508.
4. Avril S, Pierron F. General framework for the identification of constitutive parameters from full-field measurements in linear elasticity. International Journal of Solids and Structures 2007; 44(14-15):4978-5002.
5. Kavanagh K, Clough R. Finite element applications in the characterization of elastic solids. International Journal of Solids and Structures 1971; 7:11-23.
6. Lecompte D, Smits A, Sol H, Vantomme J, Van Hemelrijck D. Mixed numerical-experimental technique for orthotropic parameter identification using biaxial tensile tests on cruciform specimens. International Journal of Solids and Structures 2007; 44(5):1643-1656.
7. Genovese K, Lamberti L, Pappalettere C. Finite element analysis of a new customized composite post system for endodontically treated teeth. Journal of Biomechanics 2005; 38(12):2375-2389.
8. Levenberg K. A method for the solution of certain nonlinear problems in least squares. Quarterly of Applied Mathematics 1944; 2(2):164-168.
9. Oomens C, Ratingen M, Janssen J, Kok J, Hendriks M. A numerical-experimental method for a mechanical characterization of biological materials. Journal of Biomechanics 1993; 26:617-617.
10. Sutton M, Wolters W, Peters W, Ranson W, McNeill S. Determination of displacements using an improved digital correlation method. Image Vision Computing 1983; 1(3):133-139.
11. Besnard G, Hild F, Roux S. 'Finite-element' displacement fields analysis from digital images: application to Portevin-Le Châtelier bands. Experimental Mechanics 2006; 46(6):789-803.
12. Réthoré J, Hild F, Roux S. Extended digital image correlation with crack shape optimization. International Journal for Numerical Methods in Engineering 2007; 73(2):248-272.
13. Réthoré J, Elguedj T, Simon P, Coret M. On the use of NURBS functions for displacement derivatives measurement by digital image correlation. Experimental Mechanics 2009; DOI: 10.1007/s11340-009-9304-z.
14. Réthoré J, Roux S, Hild F. Noise-robust stress intensity factor determination from kinematic field measurements. Engineering Fracture Mechanics 2006; 75(13):3763-3781.
15. Réthoré J, Hild F, Roux S. An extended and integrated digital image correlation technique applied to the analysis of fractured samples. European Journal of Computational Mechanics 2009; 18:285-306.
16. Réthoré J, Hild F, Roux S. Shear-band capturing using a multiscale extended digital image correlation technique. Computer Methods in Applied Mechanics and Engineering 2007; 196(49-52):5016-5030.
17. Réthoré J, Besnard G, Vivier G, Hild F, Roux S. Experimental investigation of localized phenomena using digital image correlation. Philosophical Magazine 2008; 88(28, 29):3339-3355.
18. Leclerc H, Perie J, Roux S, Hild F. Integrated digital image correlation for the identification of mechanical properties. Computer Vision/Computer Graphics Collaboration Techniques. Springer: Berlin, 2009.
19. Claire D, Hild F, Roux S. A finite element formulation to identify damage fields: the equilibrium gap method. International Journal for Numerical Methods in Engineering 2004; 61:189-208.
20. Marigo J. Formulation dune loi dendommagement dun matériau élastique. Comptes Rendus de l'Accadémie des Sciences 1981; 292:1309-1312.
21. Chalal H, Meraghni F, Pierron F, Grédiac M. Direct identification of the damage behaviour of composite materials using the virtual fields method. Composites Part A 2004; 35(7-8):841-848.
22. Chalal H, Avril S, Pierron F, Meraghni F. Experimental identification of a nonlinear model for composites using the grid technique coupled to the virtual fields method. Composites Part A 2006; 37(2):315-325.
23. Peerlings R, De Borst R, Brekelmans W, De Vree J. Gradient enhanced damage for quasi-brittle materials. International Journal for Numerical Methods in Engineering 1996; 39(19):3391-3403.
24. Pijaudier-Cabot G, Bazant Z. Nonlocal damage theory. Journal of Engineering Mechanics 1987; 113(10):1512-1533.
25. Allix O, Deu J. Delayed-damage modelling for fracture prediction of laminated composites under dynamic loading. Engineering Transactions/Rozprawy Inzynierskie 1997; 45(1):29-46.
26. Rannou J, Limodin N, Réthoré J, Gravouil A, Ludwig W, Baietto-Dubourg M, Buffière J, Combescure A, Hild F, Roux S. Three dimensional experimental and numerical analysis of a fatigue crack. Computer Methods in Applied Mechanics and Engineering 2010; 199 (21-22):1307-1325.