Nonequilibrium statistical thermodynamic theory for viscoelasticity of polymers

Journal of the Mechanics and Physics of Solids

Volumn 46, Issue 1, 1998, Pages 139-152

  Chen, Xiaohong ^a   Tong, Pin ^a   Wang, Ren ^b  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^b PEKING UNIVERSITY   (China)

Author keywords

A. thermomechanical processes; B. constitutive behavior; B. viscoelastic material

Indexed keywords

ELASTICITY; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; ORGANIC POLYMERS; PHASE EQUILIBRIA; POLYMETHYL METHACRYLATES; POLYVINYL CHLORIDES; RANDOM PROCESSES; RELAXATION PROCESSES; THERMAL EFFECTS; THERMOMECHANICAL TREATMENT; VISCOELASTICITY;

MOLECULAR RELAXATION; NONEQUILIBRIUM STATISTICAL THERMODYNAMIC THEORY;

STATISTICAL MECHANICS;

EID: 0031635282     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(97)00010-0     Document Type: Article

References (14)

1. Anand, L. (1979) On H. Hencky's approximate strain energy function for moderate deformation. J. Appl. Mech. 46, 78-82.
2. Argon, A. S. (1973) A theory for the low-temperature plastic deformation of glassy polymers. Phil. Mag. 28, 839-864.
3. Arruda, E. M. and Boyce, M. C. (1993) Three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. J. Mech. Phys. Solids 41, 389-412.
4. Boyce, M. C., Weber, G. G. and Parks, D. M. (1989) On the kinematics of finite strain plasticity. J. Mech. Phys. Solids 37, 647-665.
5. Eyring, H. (1936) Viscosity, plasticity and diffusion as examples of absolute reaction rates. J. Chem. Phys. 4, 283.
6. Ferry, J. D. (1980) Viscoelastic Properties of Polymers, 3rd edn. John Wiley & Sons, Chichester.
7. Haward, R. N. and Thackray G. (1968) The use of a mathematical model to describe isothermal stress-strain curves in glassy thermoplastics. Proc. Roy. Soc. A 302, 453-472.
8. James, H. M. and Guth, E. (1943) Theory of the elastic properties of rubber. J. Chem. Phys. 11, 455-481.
9. Jongschaap, R. J. J. (1990) Towards a unified formulation of microrheological models. In Rheological Modelling: Thermodynamical and Statistical Approaches, Proceedings, Saint Feliu de Guixols, Spain, 1990, ed. J. Casas-Vazquez and D. Jou. Springer-Verlag, Berlin.
10. O'Dowd, N. P. and Knauss, W. G. (1995) Time dependent large principal deformation of polymers. J. Mech. Phys. Solids 43, 771-792.
11. Reichl, L. E. (1980) A Modern Course in Statistical Physics. University of Texas Press, Austin, TX.
12. Risken, H. (1989) The Fokker-Planck Equations, 2nd edn. Springer-Verlag, Berlin.
13. Robertson, R. E. (1966) Theory for the plasticity of glassy polymers. J. Chem. Phys. 44, 3950.
14. Ward, I. M. (1983) Mechanical Properties of Solid Polymers, 2nd edn. John Wiley & Sons, Chichester.