Advances in constraint theories of rubber-like elasticity of polymers

Current Opinion in Solid State and Materials Science

Volumn 14, Issue 2, 2010, Pages 35-37

  Erman, Burak ^a  

^a KOÇ UNIVERSITY   (Turkey)

Author keywords

Constrained chain; Constrained junction; Reptation; Slip link; Tube

Indexed keywords

CONSTRAINED JUNCTION; LINK MODEL; REPTATION; RUBBER ELASTICITY;

CONSTRAINT THEORY; RUBBER;

ELASTICITY;

EID: 76749101840     PISSN: 13590286     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cossms.2009.08.003     Document Type: Article

References (31)

1. Erman B., and Mark J.E. Structures and properties of rubberlike networks (1997), Oxford University Press, New York
2. Mark J.E., and Erman B. Rubberlike elasticity: a molecular primer (2007), Cambridge University Press
3. Drozdov A.D. Constitutive equations in finite elasticity of rubbers. Int J Solid Struct 44 1 (2007) 272-297
4. Flory P.J., and Erman B. Theory of elasticity of polymer networks. 3. Macromolecules 15 (1982) 800-806
5. Erman B. The effect of junction constraints on rubber elasticity in multiaxial states of strain. J Polym Sci Polym Phys Ed 19 (1981) 829-835
6. Drozdov A.D., and Christiansen J.D. Cyclic viscoplasticity of thermoplastic elastomers. Acta Mech 194 1-4 (2007) 47-65
7. Drozdov A.D. Mullins' effect in thermoplastic elastomers: experiments and modeling. Mech Res Commun 36 (2009) 437-443
8. Scherbakov Y.M., and Grishin B.S. The theory of the rubber elasticity of ideal networks with entanglements; application of the theory to the calculation of stresses in real networks. Rubber Chem Technol 79 1 (2006) 94-119
9. Konyali H., Menceloglu Y., and Erman B. Long time stress relaxation of amorphous networks under uniaxial tension: the Dynamic Constrained Junction Model. Polymer 49 4 (2008) 1056-1065
10. Skliros A., Mark J.E., and Kloczkowski A. Chain dimensions and fluctuations in elastomeric networks in which the junctions alternate regularly in their functionality. J Chem Phys 130 6 (2009) 064905-1
11. Eichinger B.E. Random networks, graphs, and matrices. Macromol Symp 256 (2007) 28-39
12. Westbrook K.K., and Qi H.J. Actuator designs using environmentally responsive hydrogels. J Intelligent Mater Syst Struct 19 5 (2008) 597-607
13. Vandoolaeghe W.L., Kutter S., and Terentjev E.M. Two tube models of rubber elasticity. J Polym Sci B Polym Phys 44 18 (2006) 2679-2697
14. Higgs P.G., and Ball R.C. Trapped entanglements in rubbers - a Unification of Models. Europhys Lett 8 4 (1989) 357-361
15. Vandoolaeghe W.L., and Terentjev E.M. Constrained Rouse model of rubber viscoelasticity. J Chem Phys 123 3 (2005) 034902
16. Hoei Y. Non-Gaussian model for rubber elasticity: (I) finite chain extensibility and tube concept. Polym Bull 60 2-3 (2008) 425-430
17. Hoei Y. Non-Gaussian model for rubber elasticity: (II) - comparison with experiment data for unswollen and swollen rubbers. Polym Bull 60 6 (2008) 855-862
18. Meissner B., and Matejka L. Constitutive equation describing the biaxial stress-strain behavior of poly(dimethylsiloxane) networks reinforced with silica generated in situ. Eur Polym J 44 7 (2008) 1940-1948
19. Meissner B., and Matejka L. A structure-based constitutive equation for filler-reinforced rubber-like networks and for the description of the Mullins effect. Polymer 47 23 (2006) 7997-8012
20. Urayama K. Network topology-mechanical properties relationships of model elastomers. Polym J 40 8 (2008) 669-678
21. Kloczkowski A., Mark J.E., and Erman B. A diffused-constraint theory for the elasticity of amorphous polymer networks. 1. Fundamentals and stress-strain isotherms in elongation. Macromolecules 28 (1995) 5089-5096
22. Gaylord R.J., and Douglas J.F. The localization model of rubber elasticity 2. Polym Bull 23 5 (1990) 529-533
23. Edwards S.F., and Vilgis T.A. The tube model-theory of rubber elasticity. Rep Prog Phys 51 2 (1988) 243-297
24. Oberdisse J., et al. Mechanical properties of end-crosslinked entangled polymer networks using sliplink Brownian dynamics simulations. Rheol Acta 46 1 (2006) 95-109
25. Ito K. Novel cross-linking concept of polymer network: synthesis, structure, and properties of slide-ring gels with freely movable junctions. Polym J 39 6 (2007) 489-499
26. Hosono N., et al. Photochemical control of network structure in gels and photo-induced changes in their viscoelastic properties. Colloids Surf B 56 1-2 (2007) 285-289
27. Rottach D.R., et al. Permanent set of cross-linking networks: comparison of theory with molecular dynamics simulations. Macromolecules 39 16 (2006) 5521-5530
28. Mergell B., and Everaers R. Tube models for rubber-elastic systems. Macromolecules 34 16 (2001) 5675-5686
29. Saalwachter K., and Sommer J.U. NMR reveals non-distributed and uniform character of network chain dynamics. Macromol Rapid Commun 28 14 (2007) 1455-1465
30. Tzoumanekas C., and Theodorou D.N. From atomistic simulations to slip-link models of entangled polymer melts: hierarchical strategies for the prediction of rheological properties. Curr Opin Solid State Mater Sci 10 2 (2006) 61-72
31. Horkay F., and McKenna G.B. Polymer networks and gels. In: Mark J.E. (Ed). Physical properties of polymers handbook (2007), Springer, New York 497-522