Viscoelastic (non-Fickian) diffusion

Canadian Journal of Chemical Engineering

Volumn 83, Issue 6, 2005, Pages 913-929

  De Kee, D ^a   Liu, Q ^a   Hinestroza, J ^a  

^a Tulane University   (United States)

Author keywords

Diffusion; Nanocomposite membranes; Viscoelastic systems

Indexed keywords

COATINGS; COMPOSITE MATERIALS; CONTINUUM MECHANICS; DEFORMATION; MACROMOLECULES; MASS TRANSFER; MOLECULAR STRUCTURE; PACKAGING; SEPARATION; VISCOELASTICITY;

MECHANICAL DEFORMATION; MESOSCOPIC THEORY; NANOCOMPOSITE MEMBRANES; VISCOELASTIC SYSTEMS;

DIFFUSION;

COATINGS; COMPOSITE MATERIALS; CONTINUUM MECHANICS; DEFORMATION; DIFFUSION; MACROMOLECULES; MASS TRANSFER; MOLECULAR STRUCTURE; PACKAGING; SEPARATION; VISCOELASTICITY;

EID: 33144477706     PISSN: 00084034     EISSN: None     Source Type: Journal    
DOI: 10.1002/cjce.5450830601     Document Type: Review

References (166)

1. Aminabhavi, T. M., U. S. Aithal and S. S. Shukla, "An Overview of the Theoretical Models Used to Predict Transport of Small Molecules Through Polymer Membranes," J. Macromol. Sci., Rev. Macromol. Chem. Phys. C28, 421-474 (1988).
2. Vrentas, J. S. and J. L. Duda, "Diffusion," Encycl. Polym. Sci. Eng. 5, 36-68 (1986).
3. Neogi, P., "Transport Phenomena in Polymer Membranes," Plast. Eng. 32, 173-209 (1996).
4. Aminabhavi, T. M., U. S. Aithal and S. S. Shukla, "Molecular Transport of Organic Liquids Through Polymer Films," J. Macromol. Sci., Rev. Macromol. Chem. Phys. C29, 319-363 (1989).
5. Vrentas, J. S. and C. M. Vrentas, "Integral Sorption in Glassy Polymers," Chem. Eng. Sci. 53, 629-638 (1998).
6. Ridge, M. C. and J. L. Perkins, "Permeation of Solvent Mixtures Through Protective Clothing Elastomers," ASTM Spec. Tech. Publ. 1037, 113-131 (1989).
7. Crank, J., "The Mathematics of Diffusion," Oxford University Press, Oxford (1979).
8. Vrentas, J. S., C. M. Vrentas and W. J. Huang, "Anticipation of Anomalous Effects in Differential Sorption Experiments," J. Appl. Polym. Sci. 64, 2007-2013 (1997).
9. Neogi, P., "Anomalous Diffusion of Vapors Through Solid Polymers. Part I: Irreversible Thermodynamics of Diffusion and Solution Processes," AIChE J. 29, 829-833 (1983).
10. Alfrey, T., E. F. Gurnee and W. G. Lloyd, "Diffusion in Glassy Polymers," J. Polymer Sci., Part C: Polym. Symp. 12, 249-261 (1966).
11. Vrentas, J. S. and C. M. Vrentas, "Evaluation of Free-Volume Theories for Solvent Self-Diffusion in Polymer-Solvent Systems," J. Polym. Sci., Part B: Polym. Phys. 31, 69-76 (1993).
12. Petropoulos, J. H., M. Sanopoulou and K. G. Papadokostaki, "Fundamentals of Transport Phenomena in Polymer Solution-Diffusion Membranes," Surfactant Sci. Ser. 79, 167-202 (1999).
13. Neogi, P., "Diffusion in Polymers," Marcel Dekker, NY (1996).
14. ASTM, "Test Method F739-99a Standard Test Method for Resistance of Protective Clothing Materials to Permeation Byliquids or Gases Under Conditions of Continuous Contact" (1999).
15. Fu, T. Z. and C. J. Durning, "Numerical Simulation of Case II Transport," AIChE J. 39, 1030-1044 (1993).
16. Wolf, C. J. and H. Fu, "Stress-Enhanced Transport of Toluene in Poly(Aryl Ether Ether Ketone) (PEEK)," J. Polym. Sci., Part B: Polym. Phys. 34, 75-82 (1996).
17. Dixon-Garrett, S. V., K. Nagai and B. D. Freeman, "Sorption, Diffusion, and Permeation of Ethylbenzene in Poly(1-Trimethylsiyl-1-Propyne), " J. Polym. Sci., Part B: Polym. Phys. 38, 1078-1089 (2000).
18. Ybarra, R. M., P. Neogi and J. M. D. MacElroy, "Osmotic Stresses and Wetting by Polymer Solutions," Ind. Eng. Chem. Res. 37, 427-434 (1998).
19. Vrentas, J. S., J. L. Duda and S. T. Hsieh, "Thermodynamic Properties of Some Amorphous Polymer-Solvent Systems," Ind. Eng. Chem. Prod. Res. Dev. 22, 326-330 (1983).
20. Durning, C. J. and W. B. Russel, "A Mathematical Model for Diffusion with Induced Crystallization. 2," Polymer 26, 131-140 (1985).
21. Cohen, D. S. and C. Goodhart, "Sorption of a Finite Amount of Swelling Solvent in a Glassy Polymer," J. Polym. Sci., Part B: Polym. Phys. 25, 611-617 (1987).
22. Durning, C. J. and W. B. Russel, "A Mathematical Model for Diffusion with Induced Crystallization, 1," Polymer 26, 119-130 (1985).
23. Liu, C. P. A., D. C. Nguyen and P. Neogi, "Effects of Constrained Chain Conformations on Polymer-Solute Interactions in Semicrystalline Polymers," J, Macromol. Sci., Phys. B29, 203-220 (1990).
24. Chan Man Fong, C. F., C. Moresoli, S. Xiao, Y. Li, J. Bovenkamp and D. De Kee, "Modeling Diffusion through Geomembranes," J. Appl. Polym. Sci. 67, 1885-1889(1998).
25. Frisch, H. L., "Irreversible Thermodynamics of Internally Relaxing Systems in the Vicinity of the Glass Transition, in Non-Equilibrium Thermodynamics, Variational Techniques and Stability," Dennelly, R. J., R. Herman and I. Prigogine, University of Chicago Press, Chicago (1966).
26. Crank, J. and G. S. Park, "Diffusion in Polymers," Academic Press, London and NY (1968).
27. Frisch, H. L., "Isothermal Diffusion in Systems with Glasslike Transitions," J. Chem. Phys. 41, 3379-3683 (1964).
28. Long, F. A. and D. Richman, "Concentration Gradients for Diffusion of Vapors in Glassy Polymers and their Relations to Time-Dependent Diffusion Phenomena," J. Am. Chem. Soc. 82, 513-519 (1960).
29. Richman, D. and F. A. Long, "Measurement of Concentration Gradients for Diffusion of Vapors in Polymers," J. Am. Chem Soc. 82, 509-513 (1960).
30. Petropoulos, J. H. and P. P. Roussis, "Influence of Transverse Differential Swelling Stresses on the Kinetics of Sorption of Penetrants by Polymer Membranes," J. Membr. Sci. 3, 343-356 (1978).
31. Thomas, N. L. and A. H. Windle, "A Deformation Model for Case II Diffusion," Polymer 21, 613-619 (1980).
32. Thomas, N. L. and A. H. Windle, "Diffusion Mechanics of the System PMMA-methanol," Polymer 22, 627-639 (1981).
33. Thomas, N. L. and A. H. Windle, "A Theory of Case II Diffusion," Polymer 23, 529-542 (1982).
34. El Afif, A. and M. Grmela, "Non-Fickian Mass Transport in Polymers," J. Rheol. 46, 591-628 (2002).
35. Hui, C. Y., K. C. Wu, R. C. Lasky and E. J. Kramer, "Case-II Diffusion in Polymers, i. Transient Swelling," J. App. Phys. 61, 5129-5136 (1987).
36. Kim, M. and P. Neogi, "Concentration-Induced Stress Effects in Diffusion of Vapors through Polymer Membranes," J. Appl. Polym. Sci. 29, 731-742 (1984).
37. Cox, R. W. and D. S. Cohen, "A Mathematical Model for Stress-Driven Diffusion in Polymers," J. Polym. Sci., Part B: Polym. Phys. 27, 589-602 (1989).
38. Lustig, S. R., J. M. Caruthers and N. A. Peppas, "Continuum Thermodynamics and Transport Theory of Case II Transport," Chem. Eng. Sci. 47, 3037-3057 (1992).
39. Durning, C. J., D. A. Edwards and D. S. Cohen, "Perturbation Analysis of Thomas and Windle's Model of Case II Transport," AIChE J. 42, 2025-2035 (1996).
40. Durning, C. J. and M. Tabor, "Mutual Diffusion in Concentrated Polymer Solutions Under a Small Driving Force," Macromol. 19, 2220-2232 (1986).
41. Vrentas, J. S., C. M. Jarzebski and J. L. Duda, "A Deborah Number for Diffusion in Polymer-Solvent Systems," AIChE J. 21, 894-901 (1975).
42. Vrentas, J. S., "A Free Volume Interpretation of the Influence of the Glass Transition on Diffusion in Amorphous Polymers," J. Appl. Polym. Sci. 22, 2325-2339 (1978).
43. Wu, J. C. and N. A. Peppas, "Modeling of Penetrant Diffusion in Glass Polymers with an Integral Sorption Deborah Number," J. Polym Sci. Part B: Polym. Phys. 31, 1503-1518 (1993).
44. Wu, J. C. and N. A. Peppas, "Numerical Simulation of Anomalous Penetrant Diffusion in Polymers," J. Appl. Polym. Sci. 49, 1845-1856 (1993).
45. Rossi, G., P. A. Pincus and P. G. de Gennes, "A Phenomenological Description Of Case-II Diffusion In Polymeric Materials," Europhys. Lett. 32, 391-396 (1995).
46. Friedman, A. and G. Rossi, "Phenomenological Continuum Equations to Describe Case II Diffusion in Polymeric Materials," Macromol. 30, 153-154 (1997).
47. Rossi, G. and K. A. Mazich, "Macroscopic Description of the Kinetics of Swelling for a Cross-Linked Elastomer or a Gel," Phys. Rev. E 48, 1182-1191 (1993).
48. Mazich, K. A., G. Rossi and C. A. Smith, "Kinetics of Solvent Diffusion and Swelling in a Model Elastomeric System," Macromol. 25, 6929-6933 (1992).
49. Rossi, G. and K. A. Mazich, "Kinetics of Swelling for a Cross-Linked Elastomer or Gel in the Presence of a Good Solvent," Phys. Rev. A 44, R4793-R4796 (1991).
50. Petropoulos, J. H., "Effect of a Stress-Dependent Solubility Coefficient on Sorption Kinetics in Penetrant-Polymer Membrane Systems," J. Membr. Sci. 18, 37-51 (1984).
51. Cohen, D. S., "Theoretical Models for Diffusion in Glassy Polymers. II," J. Polym. Sci., Polym. Phys. Ed. 22, 1001-1009 (1984).
52. Edwards, D. A. and D. S. Cohen, "A Mathematical Model for a Dissolving Polymer," AIChE J. 41, 2345-2355 (1995).
53. Peppas, N. A., J. C. Wu and E. D. von Meerwall, "Mathematical Modeling and Experimental Characterization of Polymer Dissolution," Macromol. 27, 5626-5638 (1994).
54. Hayes, C. K. and D. S. Cohen, "The Evolution of Steep Fronts in Non-Fickian Polymer-Penetrant Systems," J. Polym. Sci., Part B: Polym. Phys. 30, 145-161 (1992).
55. Kim, D. J., J. M. Caruthers and N. A. Peppas, "Experimental Verification of a Predictive Model of Penetrant Transport in Glassy Polymers," Chem. Eng. Sci. 51, (1996).
56. Hinestroza, J. P., Ph.D. Dissertation, Tulane University, New Orleans, LA (2002).
57. Vrentas, J. S. and C. M. Vrentas, "A General Theory for Diffusion in Purely Viscous Binary Fluid Mixtures," Chem. Eng. Sci. 56, 4571-4586 (2001).
58. Liu, Q., X. F. Wang and D. De Kee, "Mass Transport through Swelling Membranes" International Journal of Engineering Science (in press).
59. Liu, Q., S. Xiao, D. De Kee and C. Moresoli, "Diffusion in Elongated Membranes," J. Appl. Polym. Sci. (in press).
60. Bird, R. B., "Five Decades of Transport Phenomena," AIChE J. 50, 273-287 (2004).
61. Beris, A. N. and B. J. Edwards, "Poisson Bracket Formulation of Incompressible Flow Equations in Continuum Mechanics," J. Rheol. 34, 55-78 (1990).
62. Edwards, B. J. and A. N. Beris, "Unified View of Transport Phenomenon Based on the Generalized Bracket Formulation," Ind. Eng. Chem. 30, 873 (1991).
63. El Afif, A., M. Grmela and G. Lebon, "Rheology and Diffusion in Simple and Complex Fluids," J. of Non-Newtonian Fluid Mechanics 86, 253-275 (1999).
64. El Afif, A. and M. Grmela, "Diffusion of One- and Two-Component Fluids into Polymeric Membranes," Cdn. J. Chem. Eng. 80, 1197-1205 (2002).
65. Liu, Q. and D. De Kee, "Modeling of Diffusion through Polymeric Membranes," Rheol. Acta. 44, 287-294 (2005).
66. Maxwell, J. C., "Treatise on Electricity and Magnetism," Clarendon Press, London (1881).
67. Raleigh, L., "On the Influence of Obstacles Arranged in Rectangular Order upon the Properties of a Medium," Philos. Mag. 34, 481-502 (1892).
68. Aris, R., "On a Problem in Hindered Diffusion," Arch. Ration. Mech. Anal. 95, 83-91 (1986).
69. Cussler, E. L., S. E. Hughes, W. J. Ward and R. Aris, "Barrier Membranes," J. Membr. Sci. 38, 161-174 (1988).
70. Perry, D., W. J. Ward and E. L. Cussler, "Unsteady Diffusion in Barrier Membranes," J. Membr. Sci. 44, 305-311 (1989).
71. Falla, W. R., M. Mulskiand and E. L. Cussler, "Estimating Diffusion through Flake-Filled Membranes," J. Membr. Sci. 119, 129-138 (1996).
72. Bharadwaj, R. K., "Modeling the Barrier Properties of Polymer-Layered Silicate Nanocomposites," Macromol. 34, 9189-9192 (2001).
73. El Afif, A., R. Cortez, D. P. Gaver III and D. De Kee, "Modeling of Mass Tranport into Immiscible Polymeric Blends," Macromol. 36, 9216-9229 (2003).
74. El Afif, A., D. De Kee, R. Cortez and D. P. Gaver III, "Dynamics of Complex Interfaces. I. Rheology, Morphology and Diffusion," J. Chem. Phys. 118, 10227-10243 (2003).
75. El Afif, A., D. De Kee, R. Cortez and G. P. Gaver III, "Dynamics of Complex Interfaces. II. Diffusion and Morphology," J. Chem. Phys. 118, 10244-10253 (2003).
76. Liu, Q., Ph.D. Thesis, Tulane University, New Orleans, LA (2004).
77. Wetzel, E. D. and C. L. Tucker III, "Area Tensors for Modeling Microstructure During Laminar Liquid-Liquid Mixing," Int. J. Multiphase Flow 25, 35-61 (1999).
78. Anna, D. H., E. T. Zellers and R. Sulewski, "ASTM F739 Method for Testing the Permeation Resistance of Protective Clothing Materials: Critical Analysis with Proposed Changes in Procedure and Test-Cell Design," Amer. Ind. Hygiene Ass. J. 59, 547-556 (1998).
79. Ahtchi-Ali, F. and M. F. Casper, "Effect of Acidic Leachate on Material Degradation of Slurry Trench Cutoff Walls," Conf. Proc. - Int. Containment Technol. Conf., 78-84 (1997).
80. Schwope, A. D., J. Klein, K. R. Sidman and R. C. Reid, "Sorption-Desorption Phenomena of Chemicals from Polymer (Paint) Films," J. Hazard. Mater. 13, 353-567 (1986).
81. Ehntholt, D. J., R. F. Almeida, K. J. Beltis, D. L. Cerundolo, A. D. Schwope, R. H. Whelan, M. D. Royer and A. P. Nielsen, "Test Method Development and Evaluation of Protective Clothing Items Used in Agricultural Pesticide Operations," ASTM Spec. Tech. Publ. 989, 727-537 (1988).
82. Pinette, M. F. and J. O. Stull, "A Test Method for the Evaluation of Protective Glove Materials Used in Agricultural Pesticide Operations" [letter], Amer. Ind. Hygiene Ass. J. 52, A224-A226 (1991).
83. Pinette, M. F. S., J. O. Stull, C. R. Dodgen and M. G. Morley, "A Preliminary Study of an Intermittent Collection Procedure as an Alternative Permeation Method for Non-Volatile, Water Insoluble Chemicals," ASTM Spec. Tech. Publ., STP 1133, 339-349 (1992).
84. Man, V. L., V. Bastecki, G. Vandal and A. P. Bentz, "Permeation of Protective Clothing Materials: Comparison of Liquid Contact, Liquid Splashes and Vapors on Breakthrough Times," Amer. Ind. Hygiene Ass. J. 48, 551-555 (1987).
85. Prasad, T. V., K. W. Brown and J. C. Thomas, "Diffusion Coefficients of Organics in High Density Polyethylene (HDPE)," Waste Manage. Res. 12, 61-71 (1994).
86. Park, J. K., J. P. Sakti and J. A. Hoopes, "Determination of Volatile Organic Compound Permeation Through Geomembranes," ASTM Spec. Tech. Publ., STP 1261, 245-258 (1996).
87. Perron, G., T. N. Banh, L. Pelletier, J. E. Desnoyers and J. Lara, "Volumetric and Swelling Techniques for Studying the Permeation of Protective Gloves to Solvents," ASTM Spec. Tech. Publ., STP 1386, 377-390 (2000).
88. Aminabhavi, T. M., S. F. Harlapur and M. I. Aralaguppi, "A Study on Molecular Transport of Organic Esters and Aromatics into Viton Fluoropolymers," J. Appl. Polym. Sci. 66, 717-723 (1997).
89. Hong, S. U., T. A. Barbari and J. M. Sloan, "Diffusion of Methyl Ethyl Ketone in Polyisobutylene: Comparison of Spectroscopic and Gravimetric Techniques," J. Polym. Sci., Part B: Polym. Phys. 35, 1261-1267 (1997).
90. Mellstroem, G. A., "Comparison of Chemical Permeation Data Obtained with ASTM and ISO Permeation Test Cells-I. The ASTM Standard Test Procedure," Ann. Occup. Hyg. 35, 153-166 (1991).
91. Vahdat, N., "Permeation of Polymeric Materials by Chemicals: A Comparison of 25-Mm And 51-Mm Astm Cells," ASTM Spec. Tech. Publ. 989, 219-225 (1988).
92. Guo, C. J., D. De Kee and B. Harrison, "Diffusion of Organic Solvents in Rubber Membranes Measured Via a New Permeation Cell," J. Appl. Polym. Sci. 56, 823-829 (1995).
93. Khinnavar, R. S. and T. M. Aminabhavi, "Diffusion and Sorption of Organic Liquids Through Polymer Membranes. VI. Polyurethane, Neoprene, Natural Rubber, Nitrile Butadiene Rubber, Styrene Butadiene Rubber, and Ethylene Propylene Diene Terpolymer Versus Organic Esters," J. Appl. Polym. Sci. 46, 909-920 (1992).
94. Aminabhavi, T. M. and H. G. Naik, "Sorption/Desorption Studies on Polypropylene Geomembrane in The Presence of Hazardous Organic Liquids," J. Appl. Polym. Sci. 72, 1291-1298 (1999).
95. Barrett Jr., W. M., R. I. Stessel and F. A. Fetterly III, "Evaluation of Chemical Compatibility Testing of Geomembranes Using the Comprehensive Test System and Epa Method 9090," J. Air Waste Manage. Assoc. 49, 1027-1038 (1999).
96. Barrett Jr., W. M. and R. I. Stessel, "Determination of the Effect of Exposure to Gasoline Components on a High Density Polyethylene Geomembrane using the Comprehensive Test System," J. Hazard. Mater. 67, 75-93 (1999).
97. Koerner, R. M., G. R. Koerner and B. L. Hwu, "Three Dimensional, Axi-Symmetric Geomembrane Tension Test," ASTM Spec. Tech. Publ. 1081, 170-184 (1990).
98. Hinestroza, J., D. De Kee and P. N. Pintauro, "Apparatus for Studying the Effect of Mechanical Deformation on the Permeation of Organics through Polymeric Films," Ind. Eng. Chem. Res. 40, 2183-2187 (2001).
99. Moody, R. P., "Analysis Of 2,4-D Glove Permeation under Controlled Environmental Conditions," ASTM Spec. Tech. Publ., STP 1133, 189-197 (1992).
100. Pal, T., G. D. Griffin, G. H. Miller, A. P. Watson, M. L. Daugherty and T. Vo Dinh, "Permeation Measurements of Chemical Agent Simulants Through Protective Clothing Materials," J. Hazard. Mater. 33, 123-141 (1993).
101. Aminabhavi, T. M. and R. S. Munnolli, "Molecular Transport Characteristics of a Chlorosulfonated Polyethylene Geomembrane in the Presence of Aromatic Esters," J. Chem. Technol. Biotechnol. 63, 69-77 (1995).
102. Vrentas, J. S. and C. M. Vrentas, "Temperature Dependence of Partition Coefficients for Polymer-Solvent Systems," Macromolecules 31, 5539-5541 (1998).
103. Vahdat, N. and M. Bush, "Influence of Temperature on the Permeation Properties of Protective Clothing Materials," ASTM Spec. Tech. Publ. 1037, 132-145 (1989).
104. Billing Jr., C. B. and A. P. Bentz, "Effect of Temperature, Material Thickness, and Experimental Apparatus on Permeation Measurement," ASTM Spec. Tech. Publ. 989, 226-235 (1988).
105. Aithal, U. S., T. M. Aminabhavi and S. S. Shukla, "Diffusivity, Permeability, and Sorptivity of Aliphatic Alcohols through Polyurethane Membrane at 25, 44, and 60 Degree C," J. Chem. Eng. Data 35, 298-303 (1990).
106. Aminabhavi, T. M. and H. G. Naik, "Sorption/Desorption Studies on Polypropylene Geomembrane in the Presence of Hazardous Organic Liquids," J. Appl. Polym. Sci. 72, 1291-1298 (1999).
107. Aminabhavi, T. M. and H. G. Naik, "Sorption/Desorption, Diffusion, and Swelling Charateristics of Geomembranes in the Presence of Halo-Organic Liquids," J. Appl. Polym. Sci. 72, 349-359 (1999).
108. Chung, T. S., C. Cao and R. Wang, "Pressure and Temperature Dependence of the Gas Transport Properties of Denso Poly[1,6-Toluene-2,2-Bis(3, 4-Dicarboxylphenyl) Exafluoropropane Diimide] Membranes," J. Polym. Sci. Part B: Polym. Phys. 42, 354-364 (2003).
109. Khinnavar, R. S. and T. M. Aminabhavi, "Diffusion and Sorption of Organic Liquids through Polymer Membranes. VI. Polyurethane, Neoprene, Natural Rubber, Nitrile Butadiene Rubber, Styrene Butadiene Rubber, and Ethylene Propylene Diene Terpolymer Versus Organic Esters," J. Appl. Polym. Sci. 46, 909-20 (1992).
110. Vrentas, J. S., J. L. Duda and W. J. Huang, "Regions of Fickian Diffusion in Polymer-Solvent Systems," Macromolecules 19, 1718-24 (1986).
111. Saleem, M., A. F. A. Asfour, D. De Kee and B. Harrison, "Diffusion of Organic Penetrants through Low Density Polyethylene (LDPE) Films: Effect of Size and Shape of the Penetrant Molecules," J. Appl. Polym. Sci. 37, 617-625 (1989).
112. Guo, C. J., D. De Kee and B. Harrison, "Effect of Molecular Structure on Diffusion of Organic Solvents in Rubbers," Chem. Eng. Sci. 47, 1525-1532 (1992).
113. Hicks, J., M. Vandersall, Z. Babarogic and K. B. Eisenthal, "The Dynamics of Barrier Crossings in Solution: The Effect of a Solvent Polarity-Dependent Barrier," Chem. Phys. Lett. 116, 18-24 (1985).
114. Ortego, J. D., T. M. Aminabhavi, S. F. Harlapur and R. H. Balundgi, "A Review of Polymeric Geosynthetics used in Hazardous Waste Facilities," J. Hazard. Mater. 42, 115-156 (1995).
115. Hedenqvist, M., A. Angelstok, L. Edsberg, P. T. Larsson and U. W. Gedde, "Diffusion of Small-Molecule Penetrants in Polyethylene: Free Volume and Morphology," Polymer 37, 2887-2902 (1996).
116. Stastna, J. and D. De Kee, "Transport Properties in Polymers," Technomic Publishing Co., Inc., Lancaster (1995).
117. Vrentas, J. S., J. L. Duda and A. C. Hou, "Anomalous Sorption in Poly(Ethyl Methacrylate)," J. Appl. Polym. Sci. 29, 399-406 (1984).
118. Helmroth, I. E., M. Dekker and T. Hankemeier, "Influence of Solvent Absorption on the Migration of Irganox 1076 From LDPE," Food Addit. Contam 19, 176-183 (2002).
119. Rossi, G., "Macroscopic Description of Solvent Diffusion in Polymeric Materials," TRIP 40, 337-342 (1996).
120. Cornelis, H. and R. G. Kander, "Diffusion of Methylene Chloride and Tetrahydrofuran in Amorphous Poly (Ether Ether Ketone)," Polymer 37, 5627-5637 (1996).
121. Kambour, R. P., F. E. Karasz and J. H. Daane, "Kinetic and Equilibrium Phenomena in the System: Acetone Vapor and Polycarbonate Film," J. Polym. Sci. A-2 4, 327-347 (1966).
122. Titow, W. V., M. Braden, B. R. Currell and R. J. Loneragan, "Diffusion and Some Structural Effects of Two Chlorinated Hydrocarbon Solvents in Bisphenol A Polycarbonate," J. Appl. Polym. Sci. 18, 867-886 (1974).
123. Overbergh, N., H. Berghmans and G. Smets, "Crystallization of Isotactic Polystyrene Induced by Organic Vapours," Polymer 16, 703-708 (1975).
124. Unnikrishnan, G. and S. Thomas, "Molecular Transport of Benzene and Methyl-Substituted Benzenes into Filled Natural Rubber Sheets," J. Appl. Polym. Sci. 60, 963-970 (1996).
125. Gorrasi, G., L. Tammaro, M. Tortora, V. Vittoria, D. Kaempfer, P. Reichert and R. Mulhaupt, "Transport Properties of Organic Vapors in Nanocomposites of Isotactic Polypropylene," J. Polym. Sci Part B: Polym. Phys 41, 1798-1805 (2003).
126. Jarus, D., A. Hiltner and E. Baer, "Barrier Properties of Polypropylene/Polyamide Blends Produced by Microlayer Coextrusion," Polymer 43, 2401-2408 (2002).
127. Luo, J. J. and I. M. Daniel, "Characterization and Modeling of Mechanical Behavior of Polymer/Clay Nanocomposites," Composites Sci. Tech. 63, 1607-1616 (2003).
128. Krook, M., A. C. Albertsson, U. W. Gedde and M. S. Hedenqvist, "Barrier and Mechanical Properties of Montmorillonite/Polyesteramide Nanocomposites," Polym. Eng. Sci. 42, 1238-1246 (2002).
129. Manias, E., A. Touny, L. Wu, K. Strawhecker, B. Lu and T. C. Chung, "Polypropylene/Montmorillonite Nanocomposites. Review of the Synthetic Routes and Materials Properties," Chem. Mater. 13, 3516-3523 (2001).
130. Gilman, J. W., C. L. Jackson, A. B. Morgan, R. J. Harris, E. Manias, E. P. Giannelis, M. Wuthenow, D. Hilton and S. H. Phillips, "Flammability Properties of Polymer-Layered-Silicate Nanocomposites. Polypropylene and Polystyrene Nanocomposites," Chem. Mater. 12, 1866-1873 (2000).
131. Kojima, Y., K. Fukumori, A. Usuki, A. Okada and T. Kurauchi, "Gas Permeabilities in Rubber-Clay Hybrid," J. Mater. Sci. Lett. 12, 889-8890 (1993).
132. Yano, K., A. Usuki and A. Okada, "Synthesis and Properties of Polyimide-Clay Hybrid Films," J. Polym. Sci. A: Polym. Chem. 35, 2289-2294 (1997).
133. Drozdov, A. D., J. D. Christiansen, R. K. Gupta and A. P. Shah, "Model for Anomalous Moisture Diffusion through a Polymer-Clay Nanocomposite," J. Polym. Sci Part B: Polym. Phys 41, 476-492 (2003).
134. Gorrasi, G., M. Tortora, V. Vittoria, G. Galli and E. Chiellini, "Transport and Mechanical Properties of Blends of Poly(ε-Caprolactone) and a Modified Montmorillonite-Poly(ε-caprolactone) Nanocomposite," J. Polym. Sci. Part B: Polym. Phys 40, 1118-1124 (2002).
135. Tortora, M., V. Vittoria, G. Galli, S. Ritrovati and E. Chiellini, "Transport Properties of Modified Montmorillonite-Poly(ε-caprolactone) Nanocomposites," Macromol. Mater. Eng. 287, 243-249 (2002).
136. Merkel, T. C., B. D. Freeman, R. J. Spontak, Z. H. Pinnau, P. Meakin and A. J. Hill, "Sorption, Transport, and Structural Evidence for Enhanced Free Volume in Poly(4-Methyl-2-Pentyne)/Fumed Silica Nanocomposite Membranes," Chem. Mater. 15, 109-123 (2003).
137. Petrovicova, E., R. Knight, L. S. Schadler and T. E. Twardowski, "Nylon 11/Silica Nanocomposite Coatings Applied by the HVOF Process. II. Mechanical and Barrier Properties," J. Appl. Polym. Sci. 78, 2272-2289 (2000).
138. Bharadwaj, R. K., A. R. Mehrabi, C. Hamilton, C. Trujillo, M. Murga, R. Fan, A. Chavira and A. K. Thompson, "Structure-Property Relationship in Cross-Linked Polyester-Clay Nanocomposites," Polymer 43, 3699-3705 (2002).
139. Haxo Jr., H. E., "Determining the Transport through Geomembranes of Various Permeants in Different Applications," ASTM Spec. Tech. Publ. 1081, 75-94 (1990).
140. Que Hee, S. S., "Simple Glove Permeation Models," Appl. Occup. Environ. Hyg. 11, 117-24 (1996).
141. O'Callaghan, K., P. M. Fredericks and D. Bromwich, "Evaluation of Chemical Protective Clothing by Ft-Ir/Atr Spectroscopy," Appl. Spectrosc. 55, 555-562 (2001).
142. August, H. and R. Tatzky, "Permeabilities of Commercially Available Polymeric Liners for Hazardous Landfill Leachate Organic Constituents," Proc. Int. Conf. Geomembr. 1, 163-168 (1984).
143. Park, J. K., J. P. Sakti and J. A. Hoopes, "Transport of Organic Compounds in Thermoplastic Geomembranes. I. Mathematical Model," J. Environ. Eng. (NY) 122, 800-806 (1996).
144. Tombalakian, A. S. and G. K. Markarian, "Diffusion of Binary Organic Liquid Mixtures Across Polyethylene," Can. J. Chem. Eng. 50, 131-3 (1972).
145. Britton, L. N., R. B. Ashman, T. M. Aminabhavi and P. E. Cassidy, "Permeation and Diffusion of Environmental Pollutants through Flexible Polymers," J. Appl. Polym. Sci. 38, 227-236 (1989).
146. Prasad, T. V. and K. W. Brown, "Permachor Method to Predict Diffusivity Coefficients of Organics in Aqueous Solutions in Flexible Membrane Liners," Waste Manage. Res. 13, 47-53 (1995).
147. Xiao, S., D. De Kee and J. Bovenkamp, "Effect of Gasoline Contamination on the Permeation of Organic Liquids through Rubber Membranes," Rubber Chem. Technol. 72, 758-768 (1999).
148. Park, J. K. and M. Nibras, "Mass Flux of Organic Chemicals through Polyethylene Geomembranes," Water Environ. Res. 65, 227-237 (1993).
149. Barrett Jr., W. M. and R. I. Stessel, "Correlating Solubility of Chemicals and Mixtures with Strength of Exposed High-Density Polyethylene Geomembrane," Environ. Sci. Technol. 33, 1274-1279 (1999).
150. Nelson, G. O., S. J. Priante, M. Strong, D. Anderson and J. Fallon-Carine, "Permeation of Substituted Silanes and Siloxanes through Selected Gloves and Protective Clothing," Aihaj 61, 709-714 (2000).
151. Treloar, L. R. G., "The Swelling of Cross-Linked Amorphous Polymers Under Strain," Rubber Chem. Technol. 24, 290 (1951).
152. Treloar, L. R. G., "Swelling of Cross-Linked Amorphous Polymers Under Strain," Trans. Faraday Soc. 46, 783 (1950).
153. Gee, G., J. Stern and L. R. G. Treloar, "Volume Changes in the Stretching of Vulcanized Natural Rubber," Rubber Chem. Technol. 24, 767 (1951).
154. Wong, T. C. and L. J. Broutman, "Water in Epoxy Resins. Part II. Diffusion Mechanism," Polym. Eng. Sci. 25, 529 (1985).
155. Wong, T. C. and L. J. Broutman, "Moisture Diffusion in Epoxy Resins. Part I. Non-Fickian Sorption Processes," Polym. Eng. Sci. 25, 521-528 (1985).
156. Marom, G. and L. J. Broutman, "Moisture Penetration into Composites Under External Stress," Polymer Composites 2, 132-136 (1981).
157. Williams, J., "Influence of Drawing on the Transport Properties of Gases and Vapors in Polymers," ACS, Division of Organic Coatings and Plastics Chemistry, Preprints 34, 475 (1974).
158. Gent, A. N. and G. L. Liu, "Diffusion of Polymer Molecules into Polymer Networks: Effect of Stresses and Constraints," J. Polym. Sci Part B: Polym. Phys. 29, 1313 (1991).
159. Mores, M., P. E. Cassidy, D. J. Kerwick and D. C. Koeck, "A Review of Polymer Test Methods Applicable to Geosynthetics for Waste Containment," ASTM Spec. Tech. Publ. 1081, 12-24 (1990).
160. Xiao, S., C. Moresoli, A. Burczyk, P. Pintauro and D. De Kee, "Transport of Organic Contaminants in Geomembranes Under Stress," J. Environ. Eng. 125, 647-652 (1999).
161. Choy, C. L., W. P. Leung and T. L. Ma, "Sorption and Diffusion of Toluene in Highly Oriented Polypropylene," J. Polym. Sci Part B: Polym. Phys. 22, 707-719 (1984).
162. Drummond, K. M., R. A. Shanks and F. Cser, "Morphological Analysis of Linear Low Density Polyethylene Films by Atomic Force Microscopy," J. Appl. Polym. Sci. 83, 777-784 (2002).
163. Villaluenga, J. P. G. and B. Seoane, "Influence of Drawing on Gas Transport Mechanism in LLDPE Films," Polymer 39, 3955-3965 (1998).
164. Hardy, L., E. Espuche, G. Seytre and I. Stevenson, "Gas Transport Properties of Poly(Ethylene-2,6-Naphtalene Dicarboxylate) Films: Influence of Crystallinity and Orientation," J. Appl. Polym. Sci. 89, 1849-1857 (2003).
165. Liu, R. Y. F., A. Hiltner and E. Baer, "Free Volume and Oxygen Transport in Cold-Drawn Polyesters," J. Polym. Sci. Part B: Polym. Phys. 42, 493-504 (2003).
166. Chang, C. L., W. Y. Chiu, K. H. Hsieh and C. C. M. Ma, "The Molecular Orientation and Mechanical Properties of Pol(Ethylene Terephthalate) Under Uniaxial Extension," J. Appl. Polym. Sci. 50, 855-862 (1993).