Identification of elasto-plastic constitutive parameters from statically undetermined tests using the virtual fields method

Experimental Mechanics

Volumn 46, Issue 6, 2006, Pages 735-755

  Pannier, Yannick ^a   Avril, Stephane ^a   Rotinat, Rene ^a   Pierron, Fabrice ^a  

^a ARTS ET MÉTIERS PARISTECH   (France)

Author keywords

Elastoplastic behavior; Grid method; Identification; Optical full filled measurements; Virtual fields method

Indexed keywords

HARDENING; IRON; OPTICAL VARIABLES MEASUREMENT; STATISTICAL TESTS; STRESSES;

GRID METHOD; OPTICAL FULL-FILLED MEASUREMENTS; VIRTUAL FIELDS METHOD;

ELASTOPLASTICITY;

ELASTOPLASTICITY; HARDENING; IRON; OPTICAL VARIABLES MEASUREMENT; STATISTICAL TESTS; STRESSES;

EID: 33845881412     PISSN: 00144851     EISSN: 17412765     Source Type: Journal    
DOI: 10.1007/s11340-006-9822-x     Document Type: Article

References (38)

1. Mahnken R, Stein E (1996) Parameter identification for viscoplastic models based on analytical derivatives of a least-squares functional and stability investigations. Int J Plast 12:451-476.
2. Mahnken R (1999) Aspects on the finite element implementation of the gurson model including parameter identification. Int J Plast 15:1111-1137.
3. Bruhns OT, Anding DK (1999) On the simultaneous estimation of model parameters used in constitutive laws for inelastic material behaviour. Int J Plast 15:1311-1340.
4. Harth T, Schwan S, Lehn J, Kollmann FG (2004) Identification of material parameters for inelastic constitutive models: Statistical analysis and design of experiments. Int J Plast 20:1403-1440.
5. Yoshida F, Urabeb M, Hinoa R, Toropov VV (2004) Inverse approach to identification of material parameters of cyclic elasto-plasticity for component layers of a bimetallic sheet. Int J Plast 19:2149-2170.
6. Laws V (1981) Derivation of the tensile stress-strain curve from bending data. J Mater Sci 16:1299-1304.
7. Mayville RA, Finnie I (1982) Uniaxial stress-strain curves from a bending test. Exp Mech 22:197-201.
8. Brunet M, Morestin F, Godereaux S (2001) Nonlinear kinematic hardening identification for anisotropic sheet metals with bending-unbending tests. J Eng Mater Technol 123:378-383.
9. Zhao KM (2004) Inverse estimation of material properties for sheet metals. Commun Numer Methods Eng 20:105-118.
10. Kajberg J, Sundin KG, Melin LG, Ståhle P (2004) High strain rate tensile and viscoplastic parameter identification using micoscopic high-speed photography. Int J Plast 20:561-575.
11. Mahnken R, Stein E (1994) The identification of parameters for visco-plastic models via finite-elements methods and gradient methods. Model Simul Mater Sci Eng 2:597-616.
12. Mahnken R, Stein E (1996) A unified approach for parameter identification of inelastic material models in the frame of the finite element method. Comput Methods Appl Mech Eng 136:225-258.
13. Meuwissen MHH (1998) An inverse method for the echanical characterisation of metals. PhD thesis, Eindhoven Technical University, The Netherlands.
14. Meuwissen MHH, Oomens CWJ, Baaijens FPT, Petterson R, Janssen JD (1998) Determination of the elasto-plastic properties of aluminium using a mixed numerical-experimental method. J Mater Process Technol 75:204-211.
15. Okada H, Fukui Y, Kumazawa N (1999) An inverse analysis determining the elastic-plastic stress-strain relationship using nonlinear sensitivities. Comput Model Simul Eng 4(3):176-185.
16. Hoc T, Crépin J, Gélébart L, Zaoui A (2003) A procedure for identifying the plastic behaviour of single crystals from the local response of polycrystals. Acta Mater 51:5477-5488.
17. Kajberg J, Lindkvist G (2004) Characterization of materials subjected to large strains by inverse modelling based on in-plane displacement fields. Int J Solids Struct 41:3439- 3459.
18. Geng L, Shen Y, Wagoner, RH (2002) Anisotropic hardening equations derived from reverse-bend testing. Int J Plast 18(5-6).
19. Grédiac M (1989) Principe des travaux virtuels et identification. Comptes Rendus de l'Académie des Sciences 309(2):1-5 (in French with English abstract).
20. Grediac M, Pierron F, Surrel Y (1999) Novel procedure for complete in-plane composite characterization using a single T-shaped specimen. Exp Mech 39(2):142-149.
21. Moulart R, Avril S, Pierron F (2006) Identification of the through-thickness rigidities of a thick laminated composite tube. Composites Part A: Applied Science and Manufacturing, Oregon.
22. Grediac M, Toussaint E, Pierron F (2002) Special virtual fields for the direct determination of material parameters with the virtual fields method. 1-Principle and definition. Int. J. Solids Strucs. 39(10):2691-2705.
23. Grediac M, Toussaint F, Pierron E (2002) Special virtual fields for the direct determination of material parameters with the virtual fields method. 2-application to in-plane properties. Int. J. Solids Strucs. 39(10):2707-2730.
24. Avril S, Gédiac M, Pierron F (2004) Sensitivity of the virtual fields method to noisy data. Comput. Mech. 34(6):439-452.
25. Grediac M, Pierron F (2005) Applying the virtual field method to the identification of elasto-plastic constitutive parameters. Int J Plast. 26(4):602-607.
26. Voce E (1955) A practical strain-hardening function. Metallurgia 51:219-226.
27. Kobayashi A (1993) Handbook on Exp Mech, 2nd edn. Society for Exp Mech, Connecticut.
28. Surrel Y Optique C1. http://www.cnam.fr/instrumesure/.
29. Surrel Y (1994) Moiré and grid methods: A signal processing approach. In: Ryszard J. Pryputniewicz, Jacek Stupnicki (eds) Interferometry '94: Photomechanics, vol. 2342. The International Society for Optical Engineering, pp. 213-220.
30. Creath K (1988) Phase measurement interferometry techniques. In: Wolf E (ed) Progress in optics, Elsevier, Amsterdam, The Netherlands; New York, vol. 26, chap. 5, pp. 349-383.
31. Phillion DW (1997) General methods for generating phase-shifting interferometry algorithms. Appl Opt 36(31):8098-8115.
32. Surrel Y (1996) Design of algorithms for phase measurements by the use of phase-stepping. Appl Opt 35(1):51-60.
33. Surrel Y (2000) Fringe analysis. In: Rastogi PK (ed) Photomechanics/ TAP77. Springer, Berlin Heidelberg New York, pp. 57-104.
34. Parks VJ (1993) Geometric moiré. In: Kobayashi A (ed) Handbook on experimental mechanics, 2nd edn. Society for Exp Mech, Connecticut, chap. 6, pp. 267-296,
35. Post D (1982) Developments in moiré interferometry. Opt Eng 21(3):458-467.
36. Piro J-L, Grédiac M (2004) Producing and transferring lowspatial-frequency grids for measuring displacement fields with moiré and grid methods. Exp Tech 28(4):23-26.
37. Sutton MA, Deng X, Liu J, Yang L (1996) Determination of elastic-plastic stresses and strains from measured surface strain data. Exp Mech 36(2):99-112.
38. Lemaétre J, Chaboche J-L (1990) Mechanics of solid materials. Cambridge University Press, UK.