Phenomenological continuum equations to describe case II diffusion in polymeric materials

Macromolecules

Volumn 30, Issue 1, 1997, Pages 153-154

  Friedman, Avner ^a   Rossi, Giuseppe ^b  

^a UNIVERSITY OF MINNESOTA   (United States)

^b FORD RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; CALCULATIONS; CONTINUUM MECHANICS; DIFFUSION; FINITE DIFFERENCE METHOD; INTERFACES (MATERIALS); MATHEMATICAL MODELS; PHASE TRANSITIONS; PLASTICIZERS; REACTION KINETICS; SOLVENTS;

PHENOMENOLOGICAL MODEL; PLASTICIZATION;

POLYMERS;

EID: 0030735052     PISSN: 00249297     EISSN: None     Source Type: Journal    
DOI: 10.1021/ma960887c     Document Type: Article

References (12)

1. Roasi, G.; Pincus, P. A.; de Gennes, P. G. Europhys. Lett. 1995, 32, 391.
2. See, for example: Thomas, N. L.; Windle, A. H. Polymer 1978, 19, 255. Nicolais, L.; Drioli, E.; Hopfenberg, H. B.; Caricati, G. J. Membr. Sci. 1978, 3, 231. Thomas, N. L.; Windle, A. H. Polymer 1981, 22, 627. Gall, T. P.; Lasky, R. C.; Kramer, E. J. Polymer 1990, 31, 1491.
3. See, for example: Thomas, N. L.; Windle, A. H. Polymer 1978, 19, 255. Nicolais, L.; Drioli, E.; Hopfenberg, H. B.; Caricati, G. J. Membr. Sci. 1978, 3, 231. Thomas, N. L.; Windle, A. H. Polymer 1981, 22, 627. Gall, T. P.; Lasky, R. C.; Kramer, E. J. Polymer 1990, 31, 1491.
4. See, for example: Thomas, N. L.; Windle, A. H. Polymer 1978, 19, 255. Nicolais, L.; Drioli, E.; Hopfenberg, H. B.; Caricati, G. J. Membr. Sci. 1978, 3, 231. Thomas, N. L.; Windle, A. H. Polymer 1981, 22, 627. Gall, T. P.; Lasky, R. C.; Kramer, E. J. Polymer 1990, 31, 1491.
5. See, for example: Thomas, N. L.; Windle, A. H. Polymer 1978, 19, 255. Nicolais, L.; Drioli, E.; Hopfenberg, H. B.; Caricati, G. J. Membr. Sci. 1978, 3, 231. Thomas, N. L.; Windle, A. H. Polymer 1981, 22, 627. Gall, T. P.; Lasky, R. C.; Kramer, E. J. Polymer 1990, 31, 1491.
6. Samus, M. A.; Rossi, G. Macromolecules 1996, 29, 2275.
7. Carslaw, H. S.; Jaeger, J. C. Conduction of heat in solids; Oxford University Press: Oxford, 1959; p 75.
8. -t2 dt
9. See, for example, ref 4, p 282ff.
10. 0. This reflects the assumption that, for a rubbery polymer, equilibrium is reached at the boundary of the polymer occupied region as soon as polymer comes in contact with the solvent. This assumption could be relaxed, but this implies introducing additional phenomenological parameters.
11. A similar crossover to a transport limited regime is predicted by a model for case II diffusion put forward previously: Astarita, G.; Sarti, G. C. Polym. Eng. Sci. 1978, 18, 388. For a mathematical analysis of this model see: Fasano, A.; Meyer, G. H.; Primicerio, M. SIAM J. Math. Anal. 1986, 17, 945.
12. A similar crossover to a transport limited regime is predicted by a model for case II diffusion put forward previously: Astarita, G.; Sarti, G. C. Polym. Eng. Sci. 1978, 18, 388. For a mathematical analysis of this model see: Fasano, A.; Meyer, G. H.; Primicerio, M. SIAM J. Math. Anal. 1986, 17, 945.