References
- Bonnet , M and Constantinescu , A . 2005 . Inverse problems in elasticity . Inverse Probl. , 21 : R1 – R50 .
- Bui , H-D . 1993 . Introduction aux Problèmes Inverses en Mécanique des Matériaux , Paris : Dunod .
- L. Bourgeois, Contrôle optimal et problèmes inverse en plasticité, Thèse de doctorat de l'Ecole Polytechnique, 1998
- Gao , Z and Mura , T . 1989 . On the inversion of residual stresses from surface displacements . J. Appl. Mech. , 56 : 508 – 513 .
- Lattès , R and Lions , J-L . 1967 . Méthode de Quasi-réversibilité et Applications , Paris : Dunod .
- Bourgeois , L and Dardé , J . 2010 . A quasi-reversibility approach to solve the inverse obstacle problem . Inverse Probl. Imaging , 4-3 : 351 – 377 .
- Hasanov , A . 1995 . An inverse coefficient problem for an elasto-plastic medium . SIAM J. Appl. Math. , 55 : 1736 – 1752 .
- Hasanov , A . 1998 . Inverse coefficient problems for elliptic variational inequalities with a nonlinear monotone operator . Inverse Probl. , 14 : 1151 – 1169 .
- Hasanov , A . 2007 . An inversion method for identification of elastoplastic properties for engineering materials from limited spherical indentation measurements . Inverse Probl. Sci. Eng. , 15/6 : 601 – 627 .
- Liu , L , Ogasawara , N , Chiba , N and Chen , X . 2009 . Can indentation technique measure unique elastoplastic properties? . J. Mater. Res. , 24/3 : 784 – 800 .
- Niclas , A and Bourgeois , L . 2000 . An inverse approach to determine the non-linear properties of induction heat-treated steels . Eur. J. Mech. A Solids , 19 : 69 – 88 .
- Suquet , P-M . 1981 . Sur les équations de la plasticité: Existence et régularité des solutions . J. Méc. , 30-1 : 3 – 39 .
- Johnson , C . 1976 . Existence theorems for plasticity problems . J. Math. Pures Appl. , 55 : 431 – 444 .
- Johnson , C . 1978 . On plasticity with hardening . J. Math. Anal. Appl. , 62 : 325 – 336 .
- D. Löbach, On regularity for plasticity with hardening, preprint no. 355 (2007), University of Bonn
- Bourgeois , L . 2005 . A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation . Inverse Probl. , 21 : 1087 – 1104 .
- Bourgeois , L . 2006 . Convergence rates for the quasi-reversibility method to solve the Cauchy problem for Laplace's equation . Inverse Probl. , 22 : 413 – 430 .
- Klibanov , MV and Santosa , F . 1991 . A computational quasi-reversibility method for Cauchy problems for Laplace's equation . SIAM J. Appl. Math. , 51 : 1653 – 1675 .
- Bourgeois , L and Dardé , J . 2010 . A duality-based method of quasi-reversibility to solve the Cauchy problem in the presence of noisy data . Inverse Probl. , 26 : 095016 21pp
- Henrot , A and Pierre , M . 2005 . Variation et Optimisation de formes, Une Analyse Géométrique , Paris : Springer .
- Brezis , H . 1999 . “ Analyse Fonctionnelle ” . In Théorie et Applications , Paris : Dunod .
- Son , Nguyen Quoc . 1977 . On the elastic plastic initial-boundary value problem and its numerical integration . Int. J. Numer. Methods Eng. , 11 : 817 – 832 .