Parameter identification for anisotropic plasticity model using digital image correlation: Comparison between uni-axial and bi-axial tensile testing

European Journal of Computational Mechanics

Volumn 18, Issue 3-4, 2009, Pages 393-418

  Lecompte, David ^a   Cooreman, Steven ^b   Coppieters, Sam ^b   Vantomme, John ^a   Sol, Hugo ^c   Debruyne, Dimitri ^b  

^a ROYAL MILITARY ACADEMY   (Belgium)

^b ODISEE UNIVERSITY COLLEGE   (Belgium)

^c VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

Author keywords

Digital image correlation; Inverse modelling; Material identification

Indexed keywords

ANISOTROPY; PARAMETER ESTIMATION; STRAIN HARDENING; STRAIN MEASUREMENT; TENSILE TESTING;

ANISOTROPIC PLASTICITY MODELS; BASIC PRINCIPLES; COMPLEX DEFORMATION; DIGITAL IMAGE CORRELATIONS; HETEROGENEOUS DEFORMATION FIELDS; INVERSE MODELLING; MATERIAL IDENTIFICATION; PARAMETERS IDENTIFICATION; PLASTIC MATERIALS; YIELD LOCI;

IMAGE CORRELATION;

EID: 84900810802     PISSN: 26422085     EISSN: 26422050     Source Type: Journal    
DOI: 10.3166/ejcm.18.393-418     Document Type: Article

References (33)

1. Boogaard A. H., Thermally Enhanced Forming of Aluminium Sheet, Twente University, Twente, The Netherlands, 2002.
2. Bruck H.A., McNeil S.R., Sutton M.A. and Peters W.H., "Digital Image Correlation using Newton-Raphson Method of Partial Differential Correction", Experimental Mechanics, vol. 29, no 3, 1989, p. 261-267.
3. Bruhns O. T. and Anding D. K., "On the simultaneous estimation of model parameters used in constitutive laws for inelastic material behaviour", International Journal of Plasticity, 1999, vol. 15, p. 1311-1340.
4. Chaudonneret M., Gilles P., Labourdette R., Policella H., « Machine d'essais de traction biaxiale pour essais statiques et dynamiques », La Recherche Aérospatiale, vol. 5, 1977, p. 299-305.
5. Cheng et al., "Full-field Speckle Pattern Image Correlation with B-Spline Deformation Function", Experimental Mechanics, 42, 2002, p. 344-352.
6. Chu T.C., Ranson W.F., Sutton M.A. and Peters W.W., "Applications of Digital Image Correlation Techniques to Experimental Mechanics", Experimental Mechanics, vol. 25, no 3, 1985, p. 232-244.
7. Dawicke D.S., Pollock W.D., Bi-axial testing of 2219-T87 aluminum alloy using cruciform specimens, Nasa Contractor Report 4782, 2000, p. 1-46.
8. Flores P., Development of experimental equipment and identification procedures for sheet metal constitutive laws, PhD thesis, University of Liège, 2006.
9. Gavrus A. and Massoni E. and Chenot J. L., "An inverse analysis using a finite element model for identification of rheological parameters," Journal of Materials Processing Technology, 1996, vol. 60, p. 447-454.
10. Grediac M., Pierron F., "Applying the virtual fields method to the identification of elasto-plastic constitutive parameters", International Journal of Plasticity, vol. 22, 2006, p. 602-627.
11. Kajberg J. and Lindkvist G., "Characterisation of materials subjected to large strains by inverse modelling based on in-plane displacement fields", International Journal of Solids and Structures, vol. 41, no 13, 2004, p. 3439-3459.
12. Khalfallah A., BelHadjSalah H., Dogui A., "Anisotropic parameter identification using inhomogeneous tensile test", European journal of Mechanics A/Solids, 21, 2002, p. 927-942.
13. Knauss W.G., Chasiotis I., Huang Y., "Mechanical measurements at the micron and nanometer scales", Mechanics of materials 35, 2003, p. 217-231.
14. Lam Y. C. and Khoddam S. and Thomson P. F., "Inverse computational method for constitutive parameters obtained from torsion, plane-strain and axisymmetric compression tests", Journal of Materials Processing Technology, 1998, vol. 83, p. 62-71.
15. Lecompte D., Smits A., Sol H., Vantomme J., Van Hemelrijck D., "Mixed numericalexperimental technique for orthotropic parameter identification using biaxial tensile tests on cruciform specimens", International Journal of Solids and Structures 44, 2007, p. 1643-1656.
16. Lecompte D., Elastic and Elasto-Plastic material parameter identification by inverse modelling of static tests using digital image correlation, PhD thesis, Vrije Universiteit Brussel, 2007.
17. Mahnken R. and Stein E., "A unified approach for parameter identification of inelastic material models in the frame of the finite element method", Comput. Methods Appl. Mech. Eng.,1996, vol. 136, p. 225-258.
18. Mahnken R., "Aspects on the finite-element implementation of the Gurson model including parameter identification," International Journal of Plasticity, vol. 15, 1999, p. 1111-1137.
19. Mahnken R. and Stein E., "Parameter identification for finite deformation elasto-plasticity in principal directions", Comput. Methods Appl. Mech. Eng., 1997,vol. 147, p. 17-39.
20. Makinde A., Thibodeau L., Neale K.W., "Development of an apparatus for bi-axial testing using cruciform specimens", Experimental mechanics, vol. 32/2, 1992, p. 138-144.
21. Meuwissen M., An Inverse Method for the Mechanical Characterization of Metals, Ph.D. thesis, Eindhoven University of Technology, Netherlands, 1998.
22. Pannier Y., Avril S., Rotinat R., Peirron F., "Identification of elasto-plastic constitutive parameters from statically undetermined tests using the virtual fields method", Experimental Mechanics, vol. 46/6, 2006, p. 735-755.
23. Peters W.H. and Ranson W.F., "Digital imaging techniques on experimental stress analysis", Optical Engineering, vol 21, no 3, 1982, p. 427-431.
24. Schreier H.W., Braasch J.R., Sutton M.A., "Systematic errors in digital image correlation caused by intensity interpolation", Optical Engineering, vol. 39, no 11, 2000, p. 2915-2921.
25. Smits A., Van Hemelrijck D., Philippidis T.P. and Cardon A., "Design of a cruciform specimen for biaxial testing of fibre reinforced composite laminates", Composites Science and Technology, vol. 66, no 7-8, 2006, p. 964-975.
26. Springmann M. and Kuna M., "Identification of material parameters of the Gurson- Tvergaard-Needleman model by combined experimental and numerical techniques", Computational Materials Science, vol. 32, 2005, p. 544-552.
27. Sutton M.A., Wolters W.J., Peters W.H., Ranson W.F. and McNeil S.R., "Determination of Displacements using an Improved Digital Correlation Method", Image Vision Computing, vol. 1, no 3, 1983, p. 133-139.
28. Sutton M.A., Cheng M., Peters W.H., Chao Y.J. and McNeil S.R., "Application of an Optimized Digital Image Correlation Method to Planar Deformation Analysis", Image Vision Comp., vol. 4, no 3, 1986, p. 143-150.
29. Sutton M.A., McNeil S.R., Jang J. and Babai M., "The Effect of Subpixel Image Restauration on Digital Image Correlation Estimates", Optical Engineering, vol. 27, no 10, 1988, p. 870-877.
30. Vegter H., Ten Horn C. et al., "Characterization and modelling of the plastic material behaviour and its application in sheet metal forming simulation", Proceedings of COMPLAS VII, Barcelona, 2003.
31. Yoneyama S., Kikuta H., Kitagawa A. and Kitamura K., "Lens Distortion Correction for Digital Image Correlation by Measuring Rigid Body Displacement", Optical Engineering, vol. 45, no 2, 2006, p. 1-9.
32. Yoshidaa F., Urabe M. et al., "Inverse approach to identification of material parameters of cyclic elasto-plasticity for component layers of a bimetallic sheet", International Journal of Plasticity, 2003, vol. 19, p. 2149-2170.
33. Zouani A., Bui-Quoc T., Bernard M., "A proposed device for bi-axial tensile fatigue testing, Fatigue and Fracture", ASME PVP-323, vol. 1, 1996, p. 331-339.