An inverse approach to determine the constitutive model parameters from axial crushing of thin-walled square tubes

International Journal of Impact Engineering

Volumn 21, Issue 6, 1998, Pages 433-449

  Markiewicz, Eric ^a   Ducrocq, Pierre ^a   Drazetic, Pascal ^a  

^a UNIVERSITÉ DE VALENCIENNES   (France)

Author keywords

Axial crushing; Constitutive model parameters; Inverse numerical approach; Thin walled square tubes

Indexed keywords

ELASTOPLASTICITY; FAILURE (MECHANICAL); FINITE ELEMENT METHOD; PROBLEM SOLVING; STRAIN RATE; TUBULAR STEEL STRUCTURES;

AXIAL CRUSHING; INVERSE APPROACH; THIN WALLED SQUARE TUBES;

FRACTURE MECHANICS;

EID: 0032108826     PISSN: 0734743X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0734-743X(98)00004-9     Document Type: Article

References (25)

1. Y. Ohkubo, T. Akamatsu and K. Shirasawa, Mean crushing strength of closed-hat section members. SAE paper 740040, Automotive Engineering Comgress, Detroit, February 25-March 1, 1974.
2. M. Langseth and O. S. Hopperstad, Static and dynamic axial crushing of square thin-walled aluminium extrusions. Int. J. Impact Engng 18, 949-968 (1996).
3. T. Wierzbicki, and W. Abramowicz, On the crushing mechanics of thin-walled structures. J. Appl. Mech. 50, 727-734, (1983).
4. W. Abramowicz and N. Jones, Dynamic axial crushing of square tubes. Int. J. Impact Engng 2, 179-208 (1984).
5. H. F. Mahmood and A. Paluszny, Design of thin-walled columns for crash energy management - their strength and mode of collapse. SAE paper 811302, 7-18 (1981).
6. P. S. Symonds, Survey of methods of analysis for plastic deformation of structures under dynamic loading. Report. BU/NSRDC Brown University, 1967, pp. 1-67.
7. G. R. Johnson and W. H. Cook, A constitutive model and data for metal subjected to large strains, high strain rates and high temperatures. Proc. 7th Int. Symp. on Ballistics, The Hague, The Netherlands, 1983, pp. 541-547.
8. N. Jones, Material properties for structural impact problems. Int. Symp. on Materials for Advanced Technology Systems, 44th Annual Technical Meeting, The Indian Institute of Metals, Tiruchirapalli, India, November 14-17, 1990. In Advances in Materials and their Applications (ed. P. Rama Rao), Wiley Eastern Ltd, 1993, pp. 151-162.
9. N. Jones, Material properties for structural impact problems. Int. Symp. on Materials for Advanced Technology Systems, 44th Annual Technical Meeting, The Indian Institute of Metals, Tiruchirapalli, India, November 14-17, 1990. In Advances in Materials and their Applications (ed. P. Rama Rao), Wiley Eastern Ltd, 1993, pp. 151-162.
10. U. S. Lindholm, High strain rate tests. Techniques of Metals Research 5, Part 1. Wiley, New York, (1971).
11. C. Albertini, A. Del Grande, C. Delzano and R. Kiefer, A new approach to crashworthiness studies on thin sheet metal structures using the large Hopkinson bar method, Joint Research Centre, Technical Note no. I.92.133.
12. C, Albertini and M. Montagnani, Testing techniques based on the Split Hopkinson's bar. Inst. of Physics, Conf. Ser. no. 21, London, 22-31 (1974).
13. J. Duffy, Dynamic Plasticity, Lectures presented to research students, University of Nantes, 1978.
14. B. Langrand, F. Bos, P. Drazetic and E. Markiewicz, Constitutive models parametric identification for XC48 steel in compression. Mécanique Industrielle et Matériaux, 89-91 (1996) (in French).
15. E. H. Hanefi and T. Wierzbicki, Calibration of impact rigs for dynamic crash testing. Final Report, Project supported by the Europen Commission Human Capital and Mobility Program (1995).
16. R. Fletcher, Pratical Methods of Optimisation. Wiley-Interscience, New York, (1980).
17. Pam-Crash, User's manual, ESI-PSI, 20 rue Saarinen Silic 303 94588 Rungis Cedex (1996).
18. T. Wierzbicki and J. Huang, Initiation of plastic folding mechanism in crushed box columns. Thin walled structures, 13, 115-143 (1991).
19. W. Abramowicz, The effective crushing distance in axially compressed thin-walled metal columns. Int. Journal Impact Engng 1, 309-317 (1983).
20. T. Wierzbicki, L. Recke, W. Abramowicz and T. Gholami, Stress profiles in thin-walled prismatic columns subjected to crush loading-I compression. Comput. Struct. 51(6), 611-623 (1994).
21. Abaqus/Standard. Theory manual version 5.5, Hibbit, Karlsson and Sorensen, Inc. (1996).
22. A, Tarantola, Inverse Problem Theory, Elsevier, Amsterdam (1987).
23. T. Rodic, I. Gresovnik and D. R. J. Owen, Application of error minimization concept to estimation of hardening parameters in the tension test. Computational Plasticity Fundamentals and Applications, 3-6 April 1995, Barcelona, pp. 779-786.
24. J. C. Gelin and O. Ghouati, An inverse method for determining the viscoplastic properties of aluminium alloys. J. Mater. Process. Technol. 45, 435-440 (1994).
25. Pam-Opt, User's manual, ESI-PSI, 20 rue Saarinen Silic 303 94588 Rungis Cedex (1996).