E. Melan, Theorie statisch unbestimmter Systeme aus ideal-plastischen Baustoff, Sitz.Berl.Ak.Wiss, vol.145, pp.195-218, 1936.

P. Symonds, Shakedown in continuous media, J. Appl. Mech, vol.18, pp.85-89, 1951.

W. Koiter, General theorems for elastic-plastic solids, Progress in solid mechanics, 1960.

K. D. Van and I. V. Papadopoulos, Introduction to Fatigue Analysis in Mechanical Design by the Multiscale Approach, High-Cycle Metal Fatigue, 1999.
DOI : 10.1007/978-3-7091-2474-1_2
URL : https://hal.archives-ouvertes.fr/hal-00112495

D. Pham, On shakedown theory for elastic-plastic materials and extensions, J. Mech. Phys. Solids, vol.56, pp.1905-1915, 2008.

Q. Nguyen, On shakedown analysis in hardening plasticity, Journal of the Mechanics and Physics of Solids, vol.51, issue.1, pp.101-125, 2003.
DOI : 10.1016/S0022-5096(02)00058-3

Y. Ahn, E. Bertocchi, and J. Barber, Shakedown of coupled two-dimensional discrete frictional systems, Journal of the Mechanics and Physics of Solids, vol.56, issue.12, pp.3433-3440, 2008.
DOI : 10.1016/j.jmps.2008.09.003

M. Peigney, Shakedown theorems and asymptotic behaviour of solids in non-smooth mechanics, European Journal of Mechanics - A/Solids, vol.29, issue.5, pp.784-793, 2010.
DOI : 10.1016/j.euromechsol.2010.03.011
URL : https://hal.archives-ouvertes.fr/hal-00857526

M. Peigney, On shakedown of shape memory alloys structures, Ann. Solid Struct. Mech. On shakedown of shape memory alloys structures 6, pp.17-28, 2014.

D. Weichert and A. Ponter, A Historical View on Shakedown Theory, The History of Theoretical, Material and Computational Mechanics-Mathematics Meets Mechanics and Engineering, 2014.
DOI : 10.1007/978-3-642-39905-3_11

J. Zarka, J. Frelat, and I. G. , A New Approach to Inelastic Analysis of Structures, 1988.

H. Maitournam, B. Pommier, and J. Thomas, D??termination de la r??ponse asymptotique d'une structure an??lastique sous chargement thermom??canique cyclique, Comptes Rendus M??canique, vol.330, issue.10, pp.703-708, 2002.
DOI : 10.1016/S1631-0721(02)01516-4

C. Carvelli, Z. Cen, Y. Liu, and G. Maier, Shakedown analysis of defective pressure vessels by a kinematic approach, Archive of Applied Mechanics (Ingenieur Archiv), vol.69, issue.9-10, pp.751-764, 1999.
DOI : 10.1007/s004190050254

M. Peigney and C. Stolz, Approche par contrôle optimal des structuresélastoviscoplastiquesstructures´structuresélastoviscoplastiques sous chargement cyclique, C.R.Acad.Sci. Paris II, vol.329, pp.643-648, 2001.
DOI : 10.1016/s1620-7742(01)01381-2

M. Peigney and C. Stolz, An optimal control approach to the analysis of inelastic structures under cyclic loading, Journal of the Mechanics and Physics of Solids, vol.51, issue.4, pp.575-605, 2003.
DOI : 10.1016/S0022-5096(02)00104-7

J. Simon and D. Weichert, Shakedown analysis of engineering structures with limited kinematical hardening, International Journal of Solids and Structures, vol.49, issue.15-16, pp.2177-2186, 2012.
DOI : 10.1016/j.ijsolstr.2012.04.039

K. Spiliopoulos and K. Panagiotou, A direct method to predict cyclic steady states of elastoplastic structures, Computer Methods in Applied Mechanics and Engineering, vol.223, issue.224, pp.186-198, 2012.
DOI : 10.1016/j.cma.2012.03.004

G. Borino, Consistent shakedown theorems for materials with temperature dependent yield functions, International Journal of Solids and Structures, vol.37, issue.22, pp.3121-3147, 2000.
DOI : 10.1016/S0020-7683(99)00114-6

J. König, A shakedown theorem for temperature dependent elastic moduli, Bull. Ac. Pol. Sci., Ser. Sci. Techn, vol.17, pp.161-165, 1969.

B. Halphen, D. Domizio, and S. , Evolution des structuresélastoplastiquesstructures´structuresélastoplastiques dont les coefficients d'´ elasticité dépendent de la température, 2005.

S. Hasbroucq, A. Oueslati, D. Saxcé, and G. , Inelastic responses of a two-bar system with temperature-dependent elastic modulus under cyclic thermomechanical loadings, International Journal of Solids and Structures, vol.47, issue.14-15, 2010.
DOI : 10.1016/j.ijsolstr.2010.03.032
URL : https://hal.archives-ouvertes.fr/hal-00484238

S. Hasbroucq, A. Oueslati, D. Saxcé, and G. , Analytical study of the asymptotic behavior of a thin plate with temperature-dependent elastic modulus under cyclic thermomechanical loadings, International Journal of Mechanical Sciences, vol.54, issue.1, pp.95-104, 2012.
DOI : 10.1016/j.ijmecsci.2011.09.011
URL : https://hal.archives-ouvertes.fr/hal-00656052

M. Peigney, Shakedown of elastic-perfectly plastic materials with temperature-dependent elastic moduli, Journal of the Mechanics and Physics of Solids, vol.71, pp.112-131, 2014.
DOI : 10.1016/j.jmps.2014.06.008
URL : https://hal.archives-ouvertes.fr/hal-01055869

H. Lanchon, Elastic-plastic torsion of a cylindrical shaft with simply or multiply connected cross section, J. Mecanique, vol.13, pp.267-320, 1974.

H. Brézis, Opérateurs maximaux monotones et semigroupes de contractions dans les espaces de Hilbert, 1972.