. D. Annin-b and S. O. Bytev-v, Group properties of equations of elasticity and plasticity, 1985.

. A. Aya-1995-]. and . Zoubeïr, Contribution à la modélisation du comportement mécanique des polymères à partir d'une approche thermodynamique de la relaxation des milieux continus. Applications aux expériences de fluage, Th Sciences, 1995.

. Berg and . Maïtine, Optimisation et contrôle des système linéaires. Editions Dè!!'!cd, 2001.

. Anthony, The Euler-Poincaré equations and double bracket dissipation, Commun. Math. Phys, issue.175, pp.1-42, 1996.

P. Brunet, Etude historique sur le principe de la moindre action. Edition Vigdor, 2002.

C. Herbert, Thermodynamics : an introduction to the physical theories of equilibrium thermostatics and irreversible thermodynamics, 1960.

G. Carrot-christian and . Jacques, Viscoélasticité linéaire des polymères fondus, 1958.

N. Chien, . Honein-t, and . Hermann-g, Dissipative systems, conservation laws and symmetries, International Journal of Solids and Structures, vol.33, issue.20-22, pp.20-22, 1996.
DOI : 10.1016/0020-7683(95)00253-7

C. Honein-t and . Hermann-g, Conservation laws for linear viscoelasticity. Zangew Math Phys, 1993.

C. Cunat, Approche statistique des propriétés thermodynamiques des états liquides et vitreux : relaxation des liquides et transition vitreuse; influence des associations chimiques, Thèse d'état Sciences, 1985.

D. Théophile, Thermodynamic Theory of Affinity A Book of Principle, 1936.

P. Anne and . Amélie, Etude d'une colle en grandes déformations et pour des grandes vitesses de déformation

]. Arturo, M. Miguel, and R. Narciso, Geometry of Lagrangien first order classical field theory. Fortschr. Phys, pp.2-5, 1996.

. Engels-e, On the Helmholtz conditions for the existence of a Lagrange formalism . Il nuovo cimento, 1975.

F. Ronald, Conventional Hamiltonian for first order differential systems, Hadronic Journal. 1985, vol.8, issue.2, pp.93-96

-. D. Fer, Viscoelasiic pToperties of polyrners, 3 rd eàition. vViley

R. Feynmann, The strange theory of light and matter. Penguin Books, 1990.

G. Yang, Duality Principles in Nonconvex Systems, 1999.

M. C. Giorgi, Extremum principles for viscoelastic fluids, International Journal of Engineering Science, vol.29, issue.7, pp.807-817, 1991.
DOI : 10.1016/0020-7225(91)90003-L

-. God and . Claude, Géométrie différentielle et mécanique analytique Edition Hermann, pp.2-7056, 1969.

E. A. Guggenheim and F. R. , Statistical thermodynamics : a version of statistical mechanics for students of physics and chemistry. Cambridge: the university press, 1939.

H. Christian and . Jean-marc, Introduction à la mécanique des polymèr·es . Edité par l'auteur, pp.2-905267, 1995.

H. Burgos-p, Sistemas disipativos de naturaleza discreta Anales de Fisica, 1976.

. Hildebrandt-stefan and . Anthony, Mathématiques et formes optimales, Ed. Belin. Paris, 1986.

W. Hoover, Temperature, least action, and Lagrangian mechanics, Physics Letters A, vol.204, issue.2, pp.133-135, 1995.
DOI : 10.1016/0375-9601(95)00464-E

H. A. Terentjev-e, Long-time stress relaxation in polyacrylate nematic liquid crystalline elastomers, Journal of Physics : Condensed Matter, vol.13, 2001.

. Peter, Symmetry methods for differential equations, 2000.

. H. Ibr-1994-]-ibragimov-n, Lie Group Analysis of Differential Equations. Symmetries, exact solutions, and conservation laws. Ibragimov, pp.0-8493, 1994.

N. H. Ibragimov, Lie Group Analysis of Differential Equations. Applications in engineering and physical sciences. Ibragimov, 1995.

N. H. Ibragimov, Lie Group Analysis of Differential Equations. New trends in theoretical developments and computational methods. Ibragimov, pp.0-8493, 1996.

J. Maria, Analytie Thermodynamies. Foundations of Physics, 1975.

. Julien and . François, Sereening : fundamental studies on the extrusion of stiekies through slots. ATIP, 2004.

J. B. Keller, Extremum Principles for Irreversible Processes, Journal of Mathematical Physics, vol.1, issue.9, pp.2919-2931, 1970.
DOI : 10.1080/14786448308627405

. M. Kie-1974-]-kiehn-r, An extension of Hamiltonian's prineiple to include dissipative systems, J. Math. Phys, vol.15, issue.1, 1974.

. M. Kie-1975-]-kiehn-r, Conformai invariance and Hamiltonian Jacobi theory for dissipative systems, J. Math. Phys, vol.16, issue.5, pp.1032-1033, 1975.

. Kie-2002-]-kieiin-h, Site internet cûntenant une trentaine ue références http, 2002.

-. Lao, Gas transport properties in polycarbonate, pp.126-137, 2001.

. Laus and . Michael, Conservation laws in non linear dissipative systems, Int. J. Non-Linear Mechanics, vol.30, issue.6, pp.915-925, 1995.

J. Lemaître and C. J. , Mécanique des matériaux solides. Editions Dunod, 1988.

-. Lévy, Conservation Laws for Gauge-Variant Lagrangians in Classical Mechanics, American Journal of Physics, vol.39, issue.5, pp.502-506, 1970.
DOI : 10.1119/1.1986202

C. A. Lucey and . T. Newmann-e, On the construction of Hamiltonians, Journal of Mathematical Physics, vol.29, issue.11, pp.2430-2433, 1988.
DOI : 10.1088/0031-8949/1985/T9/030

M. Jack and . Strauss-aaron, Introduction to optimal control theory. Undergraduate Texts in Mathematics, 1982.

V. Magnenet, G. J. , R. R. , and C. C. , On the Lie symmetry groups with application to a non linear viscoelastic behaviour, proc, pp.17-22, 2003.

V. Magnenet, G. J. , R. R. , and C. C. , Master curves for viscous media predicted fram symmetry analysis, proc, of International Conference STAMM, pp.22-28, 2004.

G. A. Maugin, Internai variables and dissipative structures, J. Non-Equilib. Thermodyn, vol.15, pp.173-192, 1990.
DOI : 10.1515/jnet.1990.15.2.173

-. M~y and T. , T~'!1?J)ETI).t~~.'f~ B~tpE'!"['f}Bitif),!? I)f 8fr'1J('tural relaxation in a viscous metallic liquid, Physical Review Letters, vol.83, 1999.

. Mijatovic-mijat, . Valentina, and . Kostadin, Differential geometry of equilibrium thermodynamics, Physical Review A, vol.32, issue.4, pp.1863-1867, 1987.
DOI : 10.1103/PhysRevA.32.3144

H. B. Muhlhaus and A. E. , A variational principle for gradient plasticity, International Journal of Solids and Structures, vol.28, issue.7, pp.845-857, 1991.
DOI : 10.1016/0020-7683(91)90004-Y

N. Christian, Physique statistique. Dunod, 1995.

W. M. Nicholson-l and G. T. , Crosslink density and molecular weight efJects on the viscoelastic response of a glassy high-performance polyimide, 2001.

. A. Oco-1997-]-o-'connell-p and G. B. Mckenna, Large deformation response of polycarbonate : time temperature, time aging time and time strain superposition, Polymer Engineering and Science, vol.37, 1997.

P. Gregory, The developpement of Lagrangians for biological models, Bulletin of Mathematical Biology, vol.44, issue.6, pp.749-760, 1982.

P. I. Baseia-b, Dissipative systems and Bateman's Hamiltonian. Hadronic Journal, pp.733-1741, 1983.

P. Ilya, La nouvelle alliance, Métamorphose de la science. Edition Gallimard, 1996.

P. Ilya, Introduction à la thermodynamique des processus irréversibles. Edition Dunod, 1968.

G. Prince, Toward a classification of dynamical symmetries in classical mechanics, Bulletin of the Australian Mathematical Society, vol.27, issue.01, pp.53-71, 1983.
DOI : 10.1007/BF02739181

. Rahouadj-rachid, C. Ganghoffer-jean-françois, R. Christian, F. Drouot, and . Smoroff, Thermodynamics of relaxation processes and evolution of internal variables within a lagrangian formalism. in Continuum thermodynamics, the art and science of modelling material behaviour, Paul Germain anniversary volume, Kluwer academic publishers. Solid Mechanics and its Applications, 2000.

. Rahouadj-rachid, C. Ganghoffer-jean-françûis, and . Christian, A thermûdynamic approach with internal variables using Lagrange formalism. Part 1 : General framework. Mechanics Research Communications, 2002.

. Rahouadj-rachid, C. Ganghoffer-jean-françois, and . Christian, A thermodynamic approach with internal variables using Lagrange formalism. Part II : Continuous symmetries in the case of the time-temperature equivalence. Mechanics Research Communications, 2002.

S. Rahouadj-rachid and . Salaheddine, Mechanical behaviour of stickies for dynamic and quasistatic solicitations, Proc. of 5 t h Co-ordination Meeting. Screen- Clean, 2004.

T. Ricco and . Pegoretti-a, IVoniinear dynamic behavior of rubber compounds construction of dynamic moduli generalized master curves, Polymer Engineering and Science, vol.40, 2000.

R. Fred, Mechanics with fractional derivatives, Physical Review E, vol.55, issue.3, pp.3581-3592, 1997.

R. Santilli and . Maria, Generalized analytic representations of tensorial field Equations. Annals of physics, pp.227-258, 1977.

]. Ser, . Sero-guillaume-olivier, . Mathématiques, E. N. Cours, . P. Ln et al., Maximum and minimum princip les, pp.0-521, 1987.

C. Stolz, Sur les équations générales de la dynamique des milieux continus anélastiques, Série II, 1988.

L. C. Sruik, Physical aging in amorphous polymers and other materials .. Amsterdam, p.444416552, 1978.

T. Yves, Leçons et applications de géométrie différentielle et de mécanique analytique. Cépaduès Editions, 1993.

T. Thuan and . Xuan, Le chaos et l'harmonie, la fabrication du réel. Edition Fayrd, 1998.

. Van-1999-] and N. B. Van-p, Hamilton formalism and variational principle construction, Annals of Physics, issue.4, pp.331-354, 1999.

W. Yoiti, Canonical Hamiltonian formalism for dissipative systems, Science Report Osaka University, vol.33, issue.2, pp.1-3, 1984.

W. M. Landel-r and . D. Ferry-j, The temperature dependance of relaxation mechanisms in amorphous polymers and other glass-forming liquids, J, 1955.