Kuhn-Grün analysis of polarized Rayleigh and Raman scattering experiments to deduce segmental orientation in polymeric systems

Rheologica Acta

Volumn 50, Issue 2, 2011, Pages 179-198

  Mead, David W ^a   Harris, Chris K ^a   Killough, Patrick M ^a  

^a ILLINOIS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Constitutitve equation; Rheo optics; Statistical theory of viscoelasticity

Indexed keywords

EID: 79955433231     PISSN: 00354511     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00397-011-0537-2     Document Type: Article

References (29)

1. Abe Y, Flory PJ (1970) Rotational isomerization of polymer chains by stretching. J Chem Phys 52: 2814-2820.
2. Advani SG, Tucker CL III (1990) Closure approximations for three dimensional structure tensors. J Rheol 34: 367-386.
3. Archer LA, Huang K, Fuller GG (1994) Orientation dynamics of a polymer melt studied by polarization modulated laser Raman scattering. J Rheol 38: 1101-1125.
4. Boehler JP (ed) (1987) Applications of tensor functions in solid mechanics. Springer, New York.
5. Bower DI (1972) Investigation of molecular orientation distributions by polarized Raman scattering and polarized fluorescence. J Polymer Sci: Polymer Phys Ed 10: 2135-2153.
6. Cohen A (1991) A Padé approximant to the inverse Langevin function. Rheologica Acta 30: 270-273.
7. Doi M (1987) Basic principle in the viscoelasticity of polymeric liquids. JNNFM 23: 151-162.
8. Doi M, Edwards SF (1986) The theory of polymer dynamics. Oxford Science, Oxford.
9. Ericksen JL (1960) Anisotropic fluids. Arch Rat Mech Anal 4: 231-237.
10. Ericksen JL (1961) Conservation laws for liquid crystals. Trans Soc Rheol 5: 23-24.
11. Flory PJ (1969) Statistical mechanics of chain molecules. Wiley, Chichester.
12. Hand GL (1962) A theory of anisotropic fluids. J Fluid Mech 13: 33-46.
13. Holliday L, Ward IM (1975) Structure and properties of oriented polymers. Halsted, New York.
14. Ionescu TC, Mavrantzas VG, Keffer DJ, Edwards BJ (2008) Atomistic simulation of energetic and entropic elasticity in short-chain polyethylenes. J Rheology 52: 567-589.
15. Jen S, Clark NA, Pershan PS, Priestly EB (1977) Polarized Raman scattering studies of orientational order in uniaxial liquid crystalline phases. J Chem Phys 66: 4635-4661.
16. Kroger M, Luap C, Muller R (1997) Polymer melts under uniaxial elongational flow: stress-optical behavior from experiments and nonequilibrium molecular dynamics computer simulations. Macromolecules 30: 526-539.
17. Kuhn W, Grün F (1942) Beziehungen zwischen elastischen Konstanten und Denhnungsdop-pelbrechung hochelastischer Stoffe. Kolloid Z 101: 248-271.
18. Landau LD, Lifshitz EM (1986) The theory of elasticity, 3rd edn. Pergamon, Oxford.
19. Larson RG (1988) Constitutive equations for polymer melts and solutions. Butterworths, London.
20. Larson RG, Mead DW (1989) Linear viscoelasticity of nematic liquid crystals. J Rheol 33: 185-206.
21. Long DA (1977) Raman spectroscopy. McGraw-Hill, New York.
22. Mark JE, Erman B (2007) Rubber-like elasticity: a molecular primer. Cambridge University Press, Cambridge.
23. Marrucci G, Ianniruberto G (2003) Flow-induced orientation and stretching of entangled polymers. Phil Trans R Soc Lond Ser A 361: 677-688.
24. Mead DW (1995) The reptation model with segmental stretch: I) Basic equations and general properties. Rheologica Acta 34: 339-359.
25. Mead DW (2007) Development of the "Binary Interaction" theory for entangled polydisperse linear polymers. Rheologica Acta 46: 369-395.
26. Mead DW (2011) Derivation of the "Switch Function" in the Mead-Larson-Doi theory. Rheologica Acta (in press).
27. Mead DW, Harris CK, Killough PM (2011) Analysis of polarized Rayleigh and Raman scattering experiments to deduce segmental orientation in polymeric systems (in press).
28. Treloar LRG (1975) The physics of rubber elasticity, 3rd edn. Oxford University Press, Oxford.
29. Wapperom P, Keunings R (2004) Impact of decoupling approximation between stretch and orientation in rheometrical and complex flow of entangled polymers. J Non-Newtonian Fluid Mech 122: 33-43.