DNLR integral formulation of behaviour laws: Generalisation of Boltzmann's superposition principle;Formulation DNLR intégrale des lois de comportement: Généralisation du principe de superposition de Boltzmann

Comptes Rendus - Mecanique

Volumn 332, Issue 11, 2004, Pages 907-913

  Martin, Boris ^a   Ayadi, Zoubir ^a   Nivoit, Michel ^a   Galtier, André ^b   Cunat, Christian ^c  

^a UNIVERSITÉ DE LORRAINE   (France)

^b 57283 Maizieres Les Metz Cedex F   (France)

^c NANCY UNIVERSITÉ   (France)

Author keywords

Constitutive laws; Continuum mechanics; Formulation int grale; Integral formulation; Lois de comportement; Milieux continus; Principe de superposition; Superposition principle; Thermodynamics of relaxation; Thermodynamique de la relaxation

Indexed keywords

THERMODYNAMICS;

ARTICLE; MATERIAL STATE; MATHEMATICAL ANALYSIS; PLASTICITY; THERMODYNAMICS; VISCOSITY;

EID: 5444220147     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2004.07.007     Document Type: Article

References (11)

1. C. Cunat The DNLR approach and relaxation phenomena. Part I - Historical account and DNLR formalism Mech. Time Depend. Mater. 5 2001 39 65
2. S.R. De Groot, and P. Mazur Nonequilibrium Thermodynamics 1962 North Holland Amsterdam
3. C. Cunat Lois constitutives de matériaux complexes stables ou vieillissants. Apports de la thermodynamique de la relaxation Rev. Gén. Therm. 35 1996 680 685
4. Z. Ayadi, P. Pilvin, and C. Cunat Modélisation du comportement d'un alliage base nickel par une approche thermodynamique de la relaxation des milieux continus C. R. Acad. Sci. Paris, Sér. II-b 326 1998 815 820
5. A. Tool, and C.G. Eichlin Variations caused in the heating curves of glass by heat treatment J. Am. Ceram. Soc. 14 1931 276 308
6. R.A. Schapery An engineering theory of nonlinear viscoelasticity with applications Int. J. Solids Struct. 2 1966 407 425
7. K.C. Valanis A theory of viscoplasticity without a yield surface. Part I general theory Arch. Mech. 23 1971 517 533
8. Z. Ayadi, P. Marceron, J.-F. Schmitt, and C. Cunat Thermodynamic modeling of creep mechanical behaviour by nonlinear relaxations Eur. Phys. J. AP 6 1999 229 235
9. A. Aharoune, P. Marceron-Balland, and C. Cunat The DNLR approach and relaxation phenomena. Part II - Application: Volume recovery of PVAc. Mech. Time Depend. Mater. 5 2001 345 377
10. Z. Ayadi, B. Martin, S. Leclercq, M. Nivoit, and C. Cunat Modelling of cyclic mechanical behaviour of 316sph steel by a nonlinear relaxations approach Meccanica 39 2004 81 85
11. B. Martin, Z. Ayadi, M. Nivoit, and C. Cunat Méthode thermodynamique de DE DONDER et endommagement XVème Congrès Français de Mécanique, Nancy 2001