42. Goldberg A, Lesuer DR, Patt J (1989) Fracture morphologies of carbon-blackloaded SBR
subjected to low-cycle, high-stress fatigue. Rubber Chem Technol 62:272–287
43. Chazeau L, Brown JD, Yanyo LC, Sternstein SS (2000) Modulus recovery kinetics and other
insights into the Payne effect for filled elastomers. Polym Compos 21:202–222
44. Wolff S, Donnet J-B (1990) Rubber Chem Technol 63:32–61
45. Brennan JJ, Jermyn TE, Bonnstra BB (1964) J Appl Polym Sci 8:2687–2706
46. Fletcher WP, Gent AN (1953) Trans IRI 29:266–80
47. Payne AR (1964) J Appl Polym Sci 8:1661–1667
48. Medalia AI (1978) Rubber Chem Technol 51:437–523
49. Schapery R (1997) Nonlinear viscoelastic and viscoplastic constitutive equations based on
thermodynamics. Mech Time-Depend Mater 1:209–240
50. Ogden RW (1997) Non-linear elastic deformations. Dover Publications, New York
51. Simo JC (1987) On a fully three-dimensional finite-strain viscoelastic damage model:
Formulation and computational aspects. Comput Meth Appl Mech Eng 60:153–173
52. Govindjee S, Simo JC (1992) Mullins effect and the strain amplitude dependence of the
storage modulus. Int J Solids Struct 29:1737–1751
53. Drozdov AD, Dorfmann A (2003) Finite viscoelasticity of filled rubber: experiments and
numerical simulation. Arch Appl Mech 72:651–672
54. Laraba-Abbes F, Ienny P, Piques R (2003) A new ’Tailor-made’ methodology for the
mechanical behaviour analysis of rubber-like materials: II. Application to the hyperelastic
behaviour characterization of a carbon-black filled natural rubber vulcanizate. Polymer
44:821–840
55. Przybylo P, Arruda E (1998) Experimental investigations and numerical modeling of incompressible elastomers during non-homogeneous deformations. Rubber Chem Technol
71:730–749
56. Treloar L (2005) The physics of rubber elasticity. Clarendon Press, Oxford
57. Drozdov AD (2007) Constitutive equations in finite elasticity of rubbers. Int J Solids Struct
44:272–297
58. Bischoff J, Arruda E, Grosh K (2001) A new constitutive model for the compressibility of
elastomers at finite deformations. Rubber Chem Technol 74:541–559
59. MacKnight W (1966) Volume changes accompanying the extension of rubber-like materials.
J Appl Phys 37:4587
60. Ogden RW (1976) Volume changes associated with the deformation of rubber-like solids.
J Mech Phys Solids 24:323–338
61. Penn RW (1970) Volume changes accompanying the extension of rubber. J Rheol
14:509–517
62. Reichert WF, Hopfenmueller MK, Goritz D (1987) Volume change and gas transport at
uniaxial deformation of filled natural rubber. J Mater Sci 22:3470–3476
63. Mott P, Roland C (2010) Response to “Comment on paper ” The bulk modulus and Poisson’s
ratio of “incompressible" materials”. J Sound Vib 329:368–369
64. Mott P, Dorgan J, Roland C (2008) The bulk modulus and Poisson’s ratio of “incompressible”
materials. J Sound Vib 312:572–575
65. Voinovich P (2010) Comment on paper “the bulk modulus and Poisson’s ratio of “incompressible” materials” by P.H. Mott, J.R. Dorgan, C.M. Roland. J Sound Vib 329:366–367
66. Yeoh O, Fleming P (1997) A new attempt to reconcile the statistical and phenomenological
theories of rubber elasticity. J Polym Sci Pt B Polym Phys 35:1919–1931
67. Shan GF, Yang W, Yang M, Xie B, Feng J, Fu Q (2007) Effect of temperature and strain rate
on the tensile deformation of polyamide 6. Polymer 48:2958–2968
68. Chanliau-Blanot MT, Nardiim M, Donnet JB, Papirer E, Roche G, Lau-renson P, Rossignol G
(1989) Temperature dependence of the mechanical properties of EPDM rubber-polyethylene
blends filled with aluminium hydrate particles. J Mater Sci 24:641–648
266
G. Markovic ´ et al.
subjected to low-cycle, high-stress fatigue. Rubber Chem Technol 62:272–287
43. Chazeau L, Brown JD, Yanyo LC, Sternstein SS (2000) Modulus recovery kinetics and other
insights into the Payne effect for filled elastomers. Polym Compos 21:202–222
44. Wolff S, Donnet J-B (1990) Rubber Chem Technol 63:32–61
45. Brennan JJ, Jermyn TE, Bonnstra BB (1964) J Appl Polym Sci 8:2687–2706
46. Fletcher WP, Gent AN (1953) Trans IRI 29:266–80
47. Payne AR (1964) J Appl Polym Sci 8:1661–1667
48. Medalia AI (1978) Rubber Chem Technol 51:437–523
49. Schapery R (1997) Nonlinear viscoelastic and viscoplastic constitutive equations based on
thermodynamics. Mech Time-Depend Mater 1:209–240
50. Ogden RW (1997) Non-linear elastic deformations. Dover Publications, New York
51. Simo JC (1987) On a fully three-dimensional finite-strain viscoelastic damage model:
Formulation and computational aspects. Comput Meth Appl Mech Eng 60:153–173
52. Govindjee S, Simo JC (1992) Mullins effect and the strain amplitude dependence of the
storage modulus. Int J Solids Struct 29:1737–1751
53. Drozdov AD, Dorfmann A (2003) Finite viscoelasticity of filled rubber: experiments and
numerical simulation. Arch Appl Mech 72:651–672
54. Laraba-Abbes F, Ienny P, Piques R (2003) A new ’Tailor-made’ methodology for the
mechanical behaviour analysis of rubber-like materials: II. Application to the hyperelastic
behaviour characterization of a carbon-black filled natural rubber vulcanizate. Polymer
44:821–840
55. Przybylo P, Arruda E (1998) Experimental investigations and numerical modeling of incompressible elastomers during non-homogeneous deformations. Rubber Chem Technol
71:730–749
56. Treloar L (2005) The physics of rubber elasticity. Clarendon Press, Oxford
57. Drozdov AD (2007) Constitutive equations in finite elasticity of rubbers. Int J Solids Struct
44:272–297
58. Bischoff J, Arruda E, Grosh K (2001) A new constitutive model for the compressibility of
elastomers at finite deformations. Rubber Chem Technol 74:541–559
59. MacKnight W (1966) Volume changes accompanying the extension of rubber-like materials.
J Appl Phys 37:4587
60. Ogden RW (1976) Volume changes associated with the deformation of rubber-like solids.
J Mech Phys Solids 24:323–338
61. Penn RW (1970) Volume changes accompanying the extension of rubber. J Rheol
14:509–517
62. Reichert WF, Hopfenmueller MK, Goritz D (1987) Volume change and gas transport at
uniaxial deformation of filled natural rubber. J Mater Sci 22:3470–3476
63. Mott P, Roland C (2010) Response to “Comment on paper ” The bulk modulus and Poisson’s
ratio of “incompressible" materials”. J Sound Vib 329:368–369
64. Mott P, Dorgan J, Roland C (2008) The bulk modulus and Poisson’s ratio of “incompressible”
materials. J Sound Vib 312:572–575
65. Voinovich P (2010) Comment on paper “the bulk modulus and Poisson’s ratio of “incompressible” materials” by P.H. Mott, J.R. Dorgan, C.M. Roland. J Sound Vib 329:366–367
66. Yeoh O, Fleming P (1997) A new attempt to reconcile the statistical and phenomenological
theories of rubber elasticity. J Polym Sci Pt B Polym Phys 35:1919–1931
67. Shan GF, Yang W, Yang M, Xie B, Feng J, Fu Q (2007) Effect of temperature and strain rate
on the tensile deformation of polyamide 6. Polymer 48:2958–2968
68. Chanliau-Blanot MT, Nardiim M, Donnet JB, Papirer E, Roche G, Lau-renson P, Rossignol G
(1989) Temperature dependence of the mechanical properties of EPDM rubber-polyethylene
blends filled with aluminium hydrate particles. J Mater Sci 24:641–648
266
G. Markovic ´ et al.