S. Andrieux, B. Abda, and H. Bui, Reciprocity principle and crack identification, Inverse Problems, vol.15, issue.1, pp.59-65, 1999.
DOI : 10.1088/0266-5611/15/1/010
URL : https://hal.archives-ouvertes.fr/hal-00111614

H. B. Amel-ben-abda, M. Ameur, and . Jaoua, Identification of 2D cracks by elastic boundary measurements, Inverse Problems, vol.15, issue.1, pp.67-77, 1999.
DOI : 10.1088/0266-5611/15/1/011

S. Andrieux, B. Abda, and A. , Identification of planar cracks by complete overdetermined data: inversion formulae, Inverse Problems, vol.12, issue.5, pp.553-563, 1996.
DOI : 10.1088/0266-5611/12/5/002

P. Ballard, A counter-example to uniqueness in quasi-static elastic contact problems with small friction, International Journal of Engineering Science, vol.37, issue.2, pp.163-178, 1999.
DOI : 10.1016/S0020-7225(98)00062-7

M. Bonnet, H. D. Bui, and A. Constantinescu, Principes variationnels et exploitation de mesures de champs en élasticité, Mécaniques et Industries, pp.687-697, 2003.
DOI : 10.1016/j.mecind.2003.09.011

T. Bannour, B. Abda, A. Jaoua, and M. , A semi-explicit algorithm for the reconstruction of 3D planar cracks, Inverse Problems, vol.13, issue.4, pp.899-917, 1997.
DOI : 10.1088/0266-5611/13/4/002
URL : https://hal.archives-ouvertes.fr/inria-00073629

H. D. Bui and A. Constantinescu, Spatial localization of the error on constitutive law for the identification of defects in elastic bodies, Archive of Mechanics, vol.52, pp.4-5511, 2000.

H. D. Bui, A. Constantinescu, and H. Maigre, Diffraction acoustique inverse de fissure plane: Solution explicite pour un solide born??, Comptes Rendus de l'Acad??mie des Sciences - Series IIB - Mechanics-Physics-Astronomy, vol.327, issue.10, pp.971-976, 1999.
DOI : 10.1016/S1287-4620(00)87006-4

H. D. Bui, A. Constantinescu, and H. Maigre, Numerical identification of planar cracks in elastodynamics using the instantaneous reciprocity gap, Inverse Problems, issue.20, pp.993-1001, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00111414

G. Chavent, K. Kunisch, and J. Roberts, Primal-dual formulations for parameter estimation problems, Computational and Applied Mathematics, pp.173-229, 1999.
URL : https://hal.archives-ouvertes.fr/inria-00073799

S. C. Cowin, M. Mehrabadi, S. C. Cowin, and M. Mehrabadi, Eigentenors of linear elastic materials The structure of the linear anisotropic symetries, Q.J.Mech.Appl.Math J.Mech.Phys.Solids, vol.43, issue.7, pp.401459-1471, 1990.

A. Constantinescu, On the identification of elastic moduli from displacement-force boundary measurements, Inverse Problems in Engineering, vol.43, issue.1, pp.293-315, 1995.
DOI : 10.1080/174159795088027587

A. Constantinescu, On the identification of elastic moduli in plates, Inverse problems in engineering mechanics (proceedings of the ISIP'98 conference, pp.205-214, 1998.
DOI : 10.1016/B978-008043319-6/50025-X
URL : https://hal.archives-ouvertes.fr/hal-00116513

G. Geymonat, F. Hild, and S. Pagano, Identification of elastic parameters by displacement field measurement, Comptes Rendus M??canique, vol.330, issue.6, pp.403-408, 2002.
DOI : 10.1016/S1631-0721(02)01476-6
URL : https://hal.archives-ouvertes.fr/hal-00002934

T. J. Hughes, The finite element method, 2000.

M. Ikehata, An Inverse Problem for the Plate in the Love???Kirchhoff Theory, SIAM Journal on Applied Mathematics, vol.53, issue.4, pp.942-970
DOI : 10.1137/0153047

M. Ikehata, The linearization of the Dirichlet to Neumann map in anisotropic plate theory, Inverse scattering problems and the enclosure method. Inverse Problems, pp.165-1811385, 1995.
DOI : 10.1088/0266-5611/11/1/009

M. Ikehata and S. Siltanen, Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements, Inverse Problems, vol.16, issue.4, pp.1043-1052, 2000.
DOI : 10.1088/0266-5611/16/4/311

R. V. Kohn and B. D. Lowe, A variational method for parameter identification, ESAIM: Mathematical Modelling and Numerical Analysis, vol.22, issue.1, pp.293-315, 1988.
DOI : 10.1051/m2an/1988220101191

R. V. Kohn and A. Mckenney, Numerical implementation of a variational method for electric impedance tomography, KV84] Kohn R.V. and Vogelius M. Determining conductivity by boundary measurments, pp.389-414, 1990.

R. V. Kohn and M. Vogelius, Determining conductivity by boundary measurments ii interior results, Comm.Pure.Appl.Math, vol.XXXVIII, pp.643-667, 1985.
DOI : 10.1002/cpa.3160380513

P. Ladevèze, Constitutive relation error estimators for time-dependent non-linear FE analysis, Computer Methods in Applied Mechanics and Engineering, vol.188, issue.4, pp.247-264, 1999.
DOI : 10.1016/S0045-7825(99)00361-8

P. Ladeveze and D. Leguillon, Error estimates procedures in the finite element methoid and applications, SIAM J. Numer. Anal, vol.20, issue.3, 1983.

J. T. Oden and J. Reddy, Variational methods in theoretical mechanics, 1976.

A. Wexler and C. Mandel, An impedance computed tomography algorithm and system for ground water and hazardous waste imaging, Proc. 2nd Annual Canadian/American Conf. on Hydrogeology : Hazardous Wastes in Ground Water ? A Soluble Dilemma Contrôle optimal dans les inéquations et multiplicateurs de lagrange, pp.156-161607, 1985.

B. Laurent, [Cas04] Cast3M. An object oriented finite element program On the indentification of nonlinear constitutive laws from indentation tests, Contrôle Optimal et Problèmes Inverses en Plasticité ASME, editor, Inverse Problems in Engineering, 1997.

A. Constantinescu and N. Tardieu, On the identification of elastoviscoplastic constitutive laws from indentation tests, Inverse Problems in Engineering, vol.106, issue.1, pp.19-44, 2000.
DOI : 10.1088/0266-5611/16/3/303
URL : https://hal.archives-ouvertes.fr/hal-00111325

K. Dems and Z. Mróz, VARIATIONAL APPROACH TO SENSITIVITY ANALYSIS IN THERMOELASTICITY, Journal of Thermal Stresses, vol.24, issue.4, pp.283-306, 1987.
DOI : 10.1080/01495738508942240

J. Carrera, G. A. Galarza, and A. Medina, Computational techniques for optimization of problems involving nonlinear transient simulations, International Journal for Numerical Methods in Engineering, vol.45, issue.3, pp.319-334, 1999.

A. Gavrus, E. Massoni, and C. J. , The analysis of inelastic behaviour formulated as an inverse rheological approach, Measurement Science and Technology, vol.9, issue.6, pp.848-863, 1998.
DOI : 10.1088/0957-0233/9/6/002

E. J. Haug, K. Y. Choi, and V. Komkov, Design sensitivity analysis of structural system. Academic press, 1986.

B. Halphen, N. Quoc, S. Johnson, and K. L. , Sur les matériaux standards g´néralisésg´néralisés. Journ. de mécanique Contact Mechanics, 1975.

M. Kleiber, H. Antunez, T. D. Tien, and P. Kowalcyk, Parameter sensitivity in nonlinear mechanics, 1997.

N. Kikuchi and J. Oden, Contact Problems in Elasticity :A Study of Variational Inequalities and Finite Element Methods, SIAM, 1988.

B. Lecampion and A. Constantinescu, Identification of poroelastic constants ii : an inverse analysis, Biot Conference, 2002.

B. Lecampion, A. Constantinescu, and M. D. Nguyen, Parameter identification for lined tunnels in a viscoplastic medium, International Journal for Numerical and Analytical Methods in Geomechanics, vol.17, issue.12, pp.1191-1211, 2002.
DOI : 10.1002/nag.241
URL : https://hal.archives-ouvertes.fr/hal-00111357

B. Lecampion, A. Constantinescu, D. Nguyen-minh, A. , and D. , On the determination of elastoviscoplastic constants of hard marls from in situ measurements performed on a motorway tunnel in the alps, North American Rock Mechanics Symposium Contrôle dans les inéquations variationnnelles elliptiques. J.Functional Analysis, pp.130-185, 1976.
URL : https://hal.archives-ouvertes.fr/hal-00116242

R. Mahnken and E. Kuhl, Parameter identification of gradient enhanced damage models with the finite element method, European Journal of Mechanics - A/Solids, vol.18, issue.5, pp.819-835, 1999.
DOI : 10.1016/S0997-7538(99)00127-8

R. Mahnken and E. Stein, Parameter identification for viscoplastic models based on analytical derivatives of a least-squares functional and stability investigations, International Journal of Plasticity, vol.12, issue.4, pp.451-479, 1996.
DOI : 10.1016/S0749-6419(95)00016-X

P. Michaleris and D. A. Tortorelli, Design sensitivity analysis : An overview and review, Inverse Problems in Engineering, vol.1, 1995.

P. Michaleris, D. A. Tortorelli, and C. A. Vidal, Tangent operators and design sensitivity formulations for transient non-linear coupled problems with applications to elastoplasticity [P.66] Perzyna P. Fundamental problems in viscoplasticy, International Journal for Numerical Methods in Engineering Advances in Appl. Mech, vol.37, issue.9, pp.243-377, 1966.

S. Stupkewicz, J. Korelc, M. Dutko, R. , and T. , Shape sensitivity analysis of large deformation frictional contact problems, Son77] Nguyen Quoc Son, pp.3555-3581817, 1977.
DOI : 10.1016/S0045-7825(02)00295-5

J. C. Simo and R. L. Taylor, Consistent tangent operators for rate-idenpendent elastoplasticity, Computer Methods in Applied Mechanical Engineering, issue.48, pp.101-118, 1985.

J. J. Tsay and J. S. Arora, Nonlinear structural design sensivitity analysis for path dependent problems. Part 1: General theory, Tab51] Tabor, D. Hardness of metals, pp.183-208, 1951.
DOI : 10.1016/0045-7825(90)90109-Y

N. Tardieu, N. Tardieu, and A. Constantinescu, On the determination of elastic coefficients from indentation experiments, Inverse Problems, vol.16, issue.3, pp.577-588, 2000.
DOI : 10.1088/0266-5611/16/3/303
URL : https://hal.archives-ouvertes.fr/hal-00111300

J. J. Tsay, J. E. Cardoso, and J. S. Arora, Nonlinear structural design sensitivity analysis for path dependent problems. Part 2: Analytical examples, Computer Methods in Applied Mechanics and Engineering, vol.81, issue.2, pp.209-228, 1990.
DOI : 10.1016/0045-7825(90)90110-8

C. A. Vidal and R. B. Haber, Design sensitivity analysis for rate-independent elastoplasticity, Computer Methods in Applied Mechanics and Engineering, vol.107, issue.3, pp.393-431, 1993.
DOI : 10.1016/0045-7825(93)90074-8

C. A. Vidal, H. S. Lee, and R. B. Haber, The consistent tangent operator for design sensitivity analysis of history-dependent response, Computing Systems in Engineering, vol.2, issue.5-6, pp.509-523, 1991.
DOI : 10.1016/0956-0521(91)90053-8

G. Z. Yang and N. Zabaras, An adjoint method for the inverse design of solidification processes with natural convection, International Journal for Numerical Methods in Engineering, vol.37, issue.6, pp.1121-1144, 1998.
DOI : 10.1002/(SICI)1097-0207(19980730)42:6<1121::AID-NME403>3.0.CO;2-8

N. Zabaras, Y. Bao, A. Srikanth, F. , and W. G. , A continuum Lagrangian sensitivity analysis for metal forming processes with applications to die design problems, International Journal for Numerical Methods in Engineering, vol.15, issue.5, pp.679-720, 2000.
DOI : 10.1002/(SICI)1097-0207(20000620)48:5<679::AID-NME895>3.0.CO;2-U

A. [. Charkaluk, A. Constantinescu, K. Bignonnet, . Dang, and . Van, Dimmensionement des structures à la fatigue thermique, Dimensionment en fatigue des Structures, 1999.

A. Constantinescu, E. Charkaluk, G. Lederer, L. Verger, F. Cano et al., A computational approach to thermomechanical fatigue, Critère de fatigue polycyclique pour des matériaux anisotropes :application au monocristaux. Comptes Rendus de l'Academie des Sciences, pp.805-818115, 2004.
DOI : 10.1016/j.ijfatigue.2004.01.006
URL : https://hal.archives-ouvertes.fr/hal-00138135

A. Constantinescu, K. Dang, H. Van, . L. Maitournamcha97-]-j, . F. Chaboche-[-cof53-]-l et al., A unified approach for high and low cycle fatigue based on shakedown concepts, Eurotherm Seminar 68 : Inverse problems and experimental design in thermal and mechanical engineering, pp.561-568, 1953.
DOI : 10.1016/S0167-6636(97)00047-1

. Cvc-+-99-]-e, L. Charkaluk, A. Verger, G. Constantinescu, C. Lederer et al., Lois de comportement viscoplastiques anisothermes pour calculs cycliques sur structures Life prediction of thermal-mechanical fatigue using strainrange partitioning Comportement thermomécanique du polyéthylène -application aux structures gazières Behaviour of materials under conditions of thermal stresses, Actes du 4ème colloque national en calcul des structures Thermal Fatigue of Materials and Components -ASTM STP 612, pp.575-580, 1953.

K. Nesnas, M. Borret, S. Constantinescu, A. Verger, and L. , Calcul de structure sous chargement thermomécanique : Influence de la formulation anisotherme de la loi de comportement, Actes du Colloque National en Calcul des Structures , pages (II)67?74. Ecole PolytechniqueColloque National en Calcul des Structures, pp.20-23, 2003.

. [. Peigney, C. J. Stolz, T. J. Simo, and . Hughes, A damage function and associated failure equations for predicting hold time and frequency effects in elevated temperatures An optimal control approach to the analysis of inelastic structures under cyclic loading Computational inelasticity Energy criteria for high temperature low cycle fatigue Energy criteria and cumulative damage during fatigue crack growth, J. Test. Eval. J.Mech.Phys.Solids Mat. Sci. Tech. Int. J. Fatigue, vol.4, issue.209, pp.327-339575, 1976.

P. [. Smith, T. H. Watson, and . Topper, A stress-strain function for the fatigue of metals, J. Mater, vol.5, issue.4, pp.767-778, 1970.