An elementary molecular-statistical basis for the Mooney and Rivlin-Saunders theories of rubber elasticity

Journal of the Mechanics and Physics of Solids

Volumn 50, Issue 3, 2002, Pages 571-582

  Fried, Eliot ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

B. Constitutive behavior; B. Rubber material; Statistical mechanics

Indexed keywords

CONTINUUM MECHANICS; ELASTICITY; FREE ENERGY; FUNCTIONS; MATHEMATICAL TRANSFORMATIONS; MOLECULAR DYNAMICS; RUBBER;

RUBBER ELASTICITY;

STATISTICAL MECHANICS;

EID: 0036495372     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(01)00086-2     Document Type: Article

References (34)

1. An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity
2. The Cauchy and Born hypotheses for crystals
3. Equilibrium theory for X-ray observations of crystals
4. Network structure and the elastic properties of vulcanized rubber
5. Statistical thermodynamics of random networks
6. Anisotropic fluid theory: A different approach to the dumbbell theory of dilute polymer solutions
7. Zur innermoleckularen statistik, insbesondere bei kettenmolekülen I
8. Theoretical and numerical formulation of a molecular based constitutive tube-model of rubber elasticity
9. Statistical properties of networks of flexible chains
10. Theoretical stress-strain curve for rubberlike materials
11. Theory of the elastic properties of rubber
12. Theory of the elasticity of rubber
13. Über die gestalt fadenförmiger moleküle in lösungen
14. Beziehungen zwischen molekl̈egröße, statischer molecülgestalt und elastischen eigenschaften hochpolymereer stoffe
15. Molekülkonstellation und kristallitorientierzung als ursachen kautschukähnlincher elastizität
16. Statistical behavior of a single-chain molecule and its relation to the statistical behavior of many chain molecules
17. Constitutive equations from molecular network theories for polymer solutions
18. A theory of large elastic deformation
19. A new constitutive equation derived from network theory
20. Large elastic deformations of isotropic materials, I. Fundamental concepts
21. Large elastic deformations of isotropic materials, VII. Experiments on the deformation of rubber
22. An approach to rubber elasticity with internal constraints
23. The elasticity of a network of long-chain molecules. I
24. The elasticity of a network of long-chain molecules. II
25. Stress-strain data for vulcanized rubber under various types of deformation
26. The elasticity of a network of long-chain molecules. III
27. The non-linear field theories of mechanics
28. Statistical thermodynamics of rubber
29. Statistical thermodynamics of rubber. II
30. Statistical thermodynamics of rubber. III
31. Statistical thermodynamics of rubber elasticity
32. The visco-elastic properties of network structure I. General formalism
33. On the material symmetry group of elastic crystals and the Born rule