On the identification of elastoviscoplastic constitutive laws from indentation tests

Inverse Problems in Engineering

Volumn 9, Issue 1, 2001, Pages 19-44

  Constantinescu, Andrei ^a   Tardieu, Nicolas ^a  

^a LABORATOIRE DE MÉCANIQUE DES SOLIDES   (France)

Author keywords

Contact; Elasticity; Indentation test; Parameter identification; Viscoplasticity

Indexed keywords

EID: 0003009486     PISSN: 10682767     EISSN: None     Source Type: Journal    
DOI: 10.1080/174159701088027751     Document Type: Article

References (20)

1. Bourgeois, L. (1998). Contrôle optimal et problèmes inverses en plasticité, Ph.D. Thesis of the École Polytechnique.
2. Bui, H. D. (1994). Inverse problems in the mechanics of materials: an introduction, CRC Press, Boca Raton.
3. Castem 2000 Finite Element Code http://www.castem.org:8001.
4. Constantinescu, A. and Tardieu, N. (1998). The adjoint state method applied to material identification through indentation tests, In: Advances in Finite Element Procedures and Techniques, Civil Comp Press.
5. Gill, P. E., Murray, W. and Wright, M. H. (1981). Practical optimization, Academic Press.
6. Halphen, B. and Nguyen, Q. S. (1975). Sur les matériaux standards généralisés, Journal de Mécanique.
7. Hasanov, A. and Seyidmamedov, Z. (1995). The solution of an axisymmetric inverse elastoplastic problem using penetration diagrams, Int. J. Non-Linear Mech., Vol. 30.
8. Hasanov, A. (1995). An inverse problem for an elastoplastic medium, SIAM J. Appl. Math., 55(5), 1736-1752.
9. Hasanov, A. (1998). Inverse coefficient problems for elliptic variational inequalities with a nonlinear monotone operator, Inverse Problems, 14(5), 1151-1170.
10. Hilding, D. Klarbring, A. and Petersson, J. (1999). Optimization of structures in unilateral contact, ASME Applied Mechanics Review, 52(4), 139-157.
11. Jayaraman, S., Hahn, G. T., Oliver, W. C., Rubin, C. A. and Bastias, P. C. (1998). Determination of monotonic stress-strain curve of hard metals from ultra-low-load indentation tests, Int. J. Solids Structures, 35(5-6).
12. Johnson, K. L. (1985). Contact mechanics, Cambridge University Press.
13. Kikuchi, N. and Oden, J. T., Contact problems in elasticity: a study of variational inequalities and finite element methods, SIAM, Philadelphia, 1988.
14. Koguchi, H. (1999). Determination of mechanical properties of thin films and functional gradient materials using an inverse technique, Conference on Inverse Problems in Engineering: Theory and Practice, ASME.
15. Lions, J. L., Contrôle optimal des systèmes gouvernés par des équations aux dérivées partielles, Dunod, 1968.
16. Loubet, J. L., Georges, J. M., Marchesini, O. and Meille, G. (1984). Vickers indentation curve for a magnesium oxide (MgO), J. of Tribology, 106.
17. Oliver, W. C. and Pharr, G. M. (1992). An improved technique for determining hardness and elastic moduli used load and displacement sensing indentation experiments, J. Mater. Res., 7(6).
18. Tabor, D. (1951). Hardness of metals, Oxford University Press.
19. Taljat, B., Zacharia, T. and Kosel, F. (1998). New analytical procedure to determine stress-strain curve from spherical indentation data, Int. J. Solids Structures, 35(33).
20. Tardieu, N. and Constantinescu, A., On the determination of elastic coefficients from indentation tests, Inverse Problems, 16(3), June, 2000, 577-588.