22. Schapery RA, Sicking DL (1995) On nonlinear constitutive equations for elastic and viscoelastic composites with growing damage. In: Baer A (ed) Mechanical behavior of materials.
Delft University Press, Delft, pp 45–76
23. Schapery RA (1997) Nonlinear viscoelastic and viscoplastic constitutive equations based on
thermodynamics. Mech Time Depend Mater 1:209–240
24. Schapery RA (1999) Nonlinear viscoelastic and viscoplastic constitutive equations with
growing damage. Int J Fract 97:33–66
25. Mienerv LA, Schaoerv RA (1991) Viscoelastic and nonlinear adherend effects in bonded
composite joints. J Adhes 34:17–40
26. Schapery RA (1989) Mechanical characterization and analysis of inelastic composite laminates with growing damage. Mech Comp Mater Struct 100:1–9
27. Payne AR (1965) Reinforcement of elastomers. J Appl Polym Sci 8:2661–2680
28. Kraus G (1984) Mechanical losses in carbon black filled rubbers. J Appl Polym Sci Appl
Polym Symp 39:75–92
29. Huber G, Vilgis TA (2002) On the mechanism of hydrodynamic reinforcement in elastic
composites. Macromolecules 35:9204–9210
30. Heinrich G, Kluppel M, Vilgis T (2002) Reinforcement of elastomers. Curr Opin Solid State
Mater Sci 6:195–203
31. Kluppel M, Schuster R, Heinrich G (1997) Structure and properties of reinforcing fractal filler
networks in elastomers. Rubber Chem Technol 70:243–255
32. Funt JM (1980) Rubber mixing. Rubber Chem Technol 53:772–779
33. Maier PG, Go ¨ritz D (1996) Molecular interpretation on the Payne effect. Kautsch Gummi
Kunstst 49:18–21
34. Sternstein SS, Zhu AJ (2002) Reinforcement mechanism of nanofilled polymer melts as
elucidated by nonlinear viscoelastic behavior. Macromolecules 35:7262–7273
35. Zhu AJ, Sternstein SS (2003) Nonlinear viscoelasticity of nanofilled polymers: interfaces,
chain statistics and properties recovery kinetics. Compos Sci Technol 63:1113–1126
36. Marrone M, Montanari T, Busca G, Conzatti L, Costa G, Castellano M, Turturro A (2004) A
Fourier Transform Infrared (FTIR) study of the reaction of Triethoxysilane (TES) and Bis
[3-triethoxysilylpropyl]tetrasulfane (TESPT) with the surface of amorphous silica. J Phys
Chem B 108:3563–3572
37. Castellano M, Conzatti L, Turturro A, Costa G, Busca G (2007) Influence of the silane
modifiers on the surface thermodynamic characteristics and dispersion of the silica into
elastomer compounds. J Phys Chem B 111:4495–4502
38. Clement F, Bokobza L, Monnerie L (2005) Investigation of the Payne effect and its temperature dependence on silica-filled polydimethylsiloxane networks. Part I: Experimental results.
Rubber Chem Technol 78:211–231
39. Ramier J, Gauthier C, Chazeau L, Stelandre L, Guy L (2007) Payne effect in silica-filled
styrene–butadiene rubber: influence of surface treatment. J Polym Sci B Polym Phys
45:286–298
40. Cassagnau P (2003) Payne effect and shear elasticity of silica-filled polymers in concentrated
solutions and in molten state. Polymer 44:2455–2462
41. Sun J, Song Y, Zheng Q, Tan H, Yu J, Li H (2007) Nonlinear rheological behavior of silica
filled solution-polymerized styrene butadiene rubber. J Polym Sci B Polym Phys
45:2594–2602
42. Wang SQ, Inn YW (1994) Stress-induced interfacial failure in filled polymer melts. Rheol
Acta 33:108–116
43. Simhambhatla M, Leonov AI (1995) On the rheological modeling of filled polymers with
particle-matrix interactions. Rheol Acta 34:329–338
44. Leger L, Raphael E, Henet H (1999) Surface-anchored polymer chains: their role in adhesion
and friction. Adv Polym Sci 138:185–225
45. Yarin AL, Graham MD (1998) A model for slip at polymer/solid interfaces. J Rheol 42:1491
12
D. Ponnamma and S. Thomas
Delft University Press, Delft, pp 45–76
23. Schapery RA (1997) Nonlinear viscoelastic and viscoplastic constitutive equations based on
thermodynamics. Mech Time Depend Mater 1:209–240
24. Schapery RA (1999) Nonlinear viscoelastic and viscoplastic constitutive equations with
growing damage. Int J Fract 97:33–66
25. Mienerv LA, Schaoerv RA (1991) Viscoelastic and nonlinear adherend effects in bonded
composite joints. J Adhes 34:17–40
26. Schapery RA (1989) Mechanical characterization and analysis of inelastic composite laminates with growing damage. Mech Comp Mater Struct 100:1–9
27. Payne AR (1965) Reinforcement of elastomers. J Appl Polym Sci 8:2661–2680
28. Kraus G (1984) Mechanical losses in carbon black filled rubbers. J Appl Polym Sci Appl
Polym Symp 39:75–92
29. Huber G, Vilgis TA (2002) On the mechanism of hydrodynamic reinforcement in elastic
composites. Macromolecules 35:9204–9210
30. Heinrich G, Kluppel M, Vilgis T (2002) Reinforcement of elastomers. Curr Opin Solid State
Mater Sci 6:195–203
31. Kluppel M, Schuster R, Heinrich G (1997) Structure and properties of reinforcing fractal filler
networks in elastomers. Rubber Chem Technol 70:243–255
32. Funt JM (1980) Rubber mixing. Rubber Chem Technol 53:772–779
33. Maier PG, Go ¨ritz D (1996) Molecular interpretation on the Payne effect. Kautsch Gummi
Kunstst 49:18–21
34. Sternstein SS, Zhu AJ (2002) Reinforcement mechanism of nanofilled polymer melts as
elucidated by nonlinear viscoelastic behavior. Macromolecules 35:7262–7273
35. Zhu AJ, Sternstein SS (2003) Nonlinear viscoelasticity of nanofilled polymers: interfaces,
chain statistics and properties recovery kinetics. Compos Sci Technol 63:1113–1126
36. Marrone M, Montanari T, Busca G, Conzatti L, Costa G, Castellano M, Turturro A (2004) A
Fourier Transform Infrared (FTIR) study of the reaction of Triethoxysilane (TES) and Bis
[3-triethoxysilylpropyl]tetrasulfane (TESPT) with the surface of amorphous silica. J Phys
Chem B 108:3563–3572
37. Castellano M, Conzatti L, Turturro A, Costa G, Busca G (2007) Influence of the silane
modifiers on the surface thermodynamic characteristics and dispersion of the silica into
elastomer compounds. J Phys Chem B 111:4495–4502
38. Clement F, Bokobza L, Monnerie L (2005) Investigation of the Payne effect and its temperature dependence on silica-filled polydimethylsiloxane networks. Part I: Experimental results.
Rubber Chem Technol 78:211–231
39. Ramier J, Gauthier C, Chazeau L, Stelandre L, Guy L (2007) Payne effect in silica-filled
styrene–butadiene rubber: influence of surface treatment. J Polym Sci B Polym Phys
45:286–298
40. Cassagnau P (2003) Payne effect and shear elasticity of silica-filled polymers in concentrated
solutions and in molten state. Polymer 44:2455–2462
41. Sun J, Song Y, Zheng Q, Tan H, Yu J, Li H (2007) Nonlinear rheological behavior of silica
filled solution-polymerized styrene butadiene rubber. J Polym Sci B Polym Phys
45:2594–2602
42. Wang SQ, Inn YW (1994) Stress-induced interfacial failure in filled polymer melts. Rheol
Acta 33:108–116
43. Simhambhatla M, Leonov AI (1995) On the rheological modeling of filled polymers with
particle-matrix interactions. Rheol Acta 34:329–338
44. Leger L, Raphael E, Henet H (1999) Surface-anchored polymer chains: their role in adhesion
and friction. Adv Polym Sci 138:185–225
45. Yarin AL, Graham MD (1998) A model for slip at polymer/solid interfaces. J Rheol 42:1491
12
D. Ponnamma and S. Thomas