introduced by giving importance to the modeling. The most significant parameter
called Payne effect (decrease in storage modulus with strain) in rubber is explained
well. A detailed survey of all kinds of nanocomposites and their viscoelastic
responses can be seen in the following chapters of this book.
References
1. Ponnamma D, Chirayil CJ, Sadasivuni KK, Somasekharan L, Yaragalla S, Abraham J, Thomas
S (2013) Special purpose elastomers: synthesis, structure-property relationship, compounding,
processing and applications. Advances in elastomers I. Adv Struct Mater 11:47–82
2. Berins ML (1991) Plastics engineering. Handbook of the Society of Plastics Industry Inc.
Chapman & Hall, New York
3. Hishfeld P (1937) Trans Am Soc Mech Eng 59:471
4. Schapery R (1987) Deformation and fracture characterization of inelastic composite materials
using potentials. Polymer Eng Sci 27:63–76
5. Schapery R (1990) On some path independent integrals and their use in fracture of nonlinear
viscoelastic media. Int J Fract 42:189–207
6. Park S, Schapery R (1997) A viscoelastic constitutive model for particulate composites with
growing damage. Int J Solids Struct 34:931–947
7. Ha K, Schapery R (1997) A three-dimensional viscoelastic constitutive model for particulate
composites with growing damage and its experimental validation. Int J Solids Struct
35:3497–3517
8. Abdel-Tawab K, Weitsman Y (1998) A coupled viscoelasticity/damage model with application to swirl-mat composites. Int J Damage Mech 7:351–380
9. Bocchieri R (2001) Time-dependent deformation of a nonlinear viscoelastic rubber-toughened
fiber composite with growing damage. Ph.D. thesis, The University of Texas at Austin
10. Green AE, Adkins JE (1960) Large elastic deformations. Clarendon, Oxford
11. Hart-Smith LJ, Crisp JDC (1967) Large elastic deformations of thin rubber membranes. Int J
Eng Sci 5:1–24
12. Klingbeil WW, Shield RT (1964) Some numerical investigations on empirical strain energy
functions in the large axisymmetric extensions of rubber membranes. Zeitschrift ur
Angewandte Mathemathik und Physik 15:608–629
13. Oden JT, Sato T (1967) Finite strains and displacements of elastic membranes by the finite
element method. Int J Solids Struct 3:471–488
14. Wineman A (1978) On axisymmetric deformations of nonlinear viscoelastic membranes.
J Non-Newtonian Fluid Mech 4:249–260
15. Feng WW (1992) Viscoelastic behavior of elastomeric membranes. J Appl Mech 59:S29–S34
16. Long term performance of polymers. http://www.me.umn.edu/labs/composites/Projects/Poly
mer%20Heat%20Exchanger/Creep%20description.pdf
17. Shrivastava S, Tang J (1993) Large deformation finite element analysis of non-linear viscoelastic membranes with reference to thermoforming. J Strain Anal 28(1):31–51
18. Jenkins CH, Leonard JW (1991) Nonlinear dynamic response of membranes: state of the art.
Appl Mech Rev 44(7):319–328
19. Jenkins CH (1996) Nonlinear dynamic response of membranes: state of the art update. Appl
Mech Rev 49(10):S41–S48
20. Hartmann S (2001) Numerical studies on the identification of the material parameters of
Rivlin’s hyperelasticity using tension-torsion tests. Acta Mech 148(1–4):129–155
21. Hahn HT, Tsai SW (1973) Nonlinear elastic behavior of unidirectional composite laminae.
J Comp Mater 7:102–118
Origin of Nonlinear Viscoelasticity in Filled Rubbers: Theory and Practice
11
called Payne effect (decrease in storage modulus with strain) in rubber is explained
well. A detailed survey of all kinds of nanocomposites and their viscoelastic
responses can be seen in the following chapters of this book.
References
1. Ponnamma D, Chirayil CJ, Sadasivuni KK, Somasekharan L, Yaragalla S, Abraham J, Thomas
S (2013) Special purpose elastomers: synthesis, structure-property relationship, compounding,
processing and applications. Advances in elastomers I. Adv Struct Mater 11:47–82
2. Berins ML (1991) Plastics engineering. Handbook of the Society of Plastics Industry Inc.
Chapman & Hall, New York
3. Hishfeld P (1937) Trans Am Soc Mech Eng 59:471
4. Schapery R (1987) Deformation and fracture characterization of inelastic composite materials
using potentials. Polymer Eng Sci 27:63–76
5. Schapery R (1990) On some path independent integrals and their use in fracture of nonlinear
viscoelastic media. Int J Fract 42:189–207
6. Park S, Schapery R (1997) A viscoelastic constitutive model for particulate composites with
growing damage. Int J Solids Struct 34:931–947
7. Ha K, Schapery R (1997) A three-dimensional viscoelastic constitutive model for particulate
composites with growing damage and its experimental validation. Int J Solids Struct
35:3497–3517
8. Abdel-Tawab K, Weitsman Y (1998) A coupled viscoelasticity/damage model with application to swirl-mat composites. Int J Damage Mech 7:351–380
9. Bocchieri R (2001) Time-dependent deformation of a nonlinear viscoelastic rubber-toughened
fiber composite with growing damage. Ph.D. thesis, The University of Texas at Austin
10. Green AE, Adkins JE (1960) Large elastic deformations. Clarendon, Oxford
11. Hart-Smith LJ, Crisp JDC (1967) Large elastic deformations of thin rubber membranes. Int J
Eng Sci 5:1–24
12. Klingbeil WW, Shield RT (1964) Some numerical investigations on empirical strain energy
functions in the large axisymmetric extensions of rubber membranes. Zeitschrift ur
Angewandte Mathemathik und Physik 15:608–629
13. Oden JT, Sato T (1967) Finite strains and displacements of elastic membranes by the finite
element method. Int J Solids Struct 3:471–488
14. Wineman A (1978) On axisymmetric deformations of nonlinear viscoelastic membranes.
J Non-Newtonian Fluid Mech 4:249–260
15. Feng WW (1992) Viscoelastic behavior of elastomeric membranes. J Appl Mech 59:S29–S34
16. Long term performance of polymers. http://www.me.umn.edu/labs/composites/Projects/Poly
mer%20Heat%20Exchanger/Creep%20description.pdf
17. Shrivastava S, Tang J (1993) Large deformation finite element analysis of non-linear viscoelastic membranes with reference to thermoforming. J Strain Anal 28(1):31–51
18. Jenkins CH, Leonard JW (1991) Nonlinear dynamic response of membranes: state of the art.
Appl Mech Rev 44(7):319–328
19. Jenkins CH (1996) Nonlinear dynamic response of membranes: state of the art update. Appl
Mech Rev 49(10):S41–S48
20. Hartmann S (2001) Numerical studies on the identification of the material parameters of
Rivlin’s hyperelasticity using tension-torsion tests. Acta Mech 148(1–4):129–155
21. Hahn HT, Tsai SW (1973) Nonlinear elastic behavior of unidirectional composite laminae.
J Comp Mater 7:102–118
Origin of Nonlinear Viscoelasticity in Filled Rubbers: Theory and Practice
11