176. Yang LM, Shim VPW, Lim CT (2000) A visco-hyperelastic approach to modelling the
constitutive behaviour of rubber. Int J Impact Eng 24:545–560
177. Ciambella J, Destrade M, Ogden RW (2009) On the ABAQUS FEA model of finite viscoelasticity. Rubber Chem Technol 82:184–193
178. Biot MA (1954) Theory of Stress-Strain Relations in Anisotropic Viscoelasticity and Relaxation Phenomena. J Appl Phys 25:1385–1391
179. Tvedt B (2008) Quasilinear equations for viscoelasticity of strain-rate type. Arch Rational
Mech Anal 189:237–281
180. Destrade M, Saccomandi G (2004) Finite-amplitude inhomogeneous waves in MooneyRivlin viscoelastic solids. Wave Motion 40:251–262
181. Destrade M, Ogden R, Saccomandi G (2009) Small amplitude waves and stability for a
pre-stressed viscoelastic solid. Z Angew Math Phys 60:511–528
182. Hayes MA, Saccomandi G (2000) Finite amplitude transverse waves in special incompressible viscoelastic solids. J Elast 59:213–225
183. Beatty MF, Zhou Z (1991) Universal motions for a class of viscoelastic materials of
differential type. Continuum Mech Thermodyn 3:169–191
184. Landau L, Lifshitz E (1986) Theory of elasticity: volume 7. Butterworth-Heinemann, Oxford
185. Dai F, Rajagopal K, Wineman A (1992) Non-uniform extension of a non-linear viscoelastic
slab. Int J Solids Struct 29:911–930
186. Johnson G, Livesay G, Woo SY, Rajagopal K (1996) A single integral finite strain viscoelastic model of ligaments and tendons. J Biomech Eng 118:221–226
187. Rajagopal K, Wineman A (2008) A quasi-correspondence principle for Quasi-Linear viscoelastic solids. Mech Time-Depend Mater 12:1–14
188. Destrade M, Saccomandi G (2006) Solitary and compactlike shear waves in the bulk of
solids. Phys Rev E 73:065604
189. Salvatori MC, Sanchini G (2005) Finite amplitude transverse waves in materials with
memory. Int J Eng Sci 43:290–303
190. Rudin W (1976) Principles of mathematical analysis. McGraw-Hill, New York
191. Meera AP, Said S, Grohens Y, Thomas S (2009) Nonlinear viscoelastic behavior of silicafilled natural rubber nanocomposites. J Phys Chem C 113(42):17997–18002
192. Wu JD, Liechti KM (2000) Multiaxial and time dependent behavior of a filled rubber. Mech
Time-Depend Mater 4:293–331
Modeling of Non-Linear Viscoelastic Behavior of Filled Rubbers
271
constitutive behaviour of rubber. Int J Impact Eng 24:545–560
177. Ciambella J, Destrade M, Ogden RW (2009) On the ABAQUS FEA model of finite viscoelasticity. Rubber Chem Technol 82:184–193
178. Biot MA (1954) Theory of Stress-Strain Relations in Anisotropic Viscoelasticity and Relaxation Phenomena. J Appl Phys 25:1385–1391
179. Tvedt B (2008) Quasilinear equations for viscoelasticity of strain-rate type. Arch Rational
Mech Anal 189:237–281
180. Destrade M, Saccomandi G (2004) Finite-amplitude inhomogeneous waves in MooneyRivlin viscoelastic solids. Wave Motion 40:251–262
181. Destrade M, Ogden R, Saccomandi G (2009) Small amplitude waves and stability for a
pre-stressed viscoelastic solid. Z Angew Math Phys 60:511–528
182. Hayes MA, Saccomandi G (2000) Finite amplitude transverse waves in special incompressible viscoelastic solids. J Elast 59:213–225
183. Beatty MF, Zhou Z (1991) Universal motions for a class of viscoelastic materials of
differential type. Continuum Mech Thermodyn 3:169–191
184. Landau L, Lifshitz E (1986) Theory of elasticity: volume 7. Butterworth-Heinemann, Oxford
185. Dai F, Rajagopal K, Wineman A (1992) Non-uniform extension of a non-linear viscoelastic
slab. Int J Solids Struct 29:911–930
186. Johnson G, Livesay G, Woo SY, Rajagopal K (1996) A single integral finite strain viscoelastic model of ligaments and tendons. J Biomech Eng 118:221–226
187. Rajagopal K, Wineman A (2008) A quasi-correspondence principle for Quasi-Linear viscoelastic solids. Mech Time-Depend Mater 12:1–14
188. Destrade M, Saccomandi G (2006) Solitary and compactlike shear waves in the bulk of
solids. Phys Rev E 73:065604
189. Salvatori MC, Sanchini G (2005) Finite amplitude transverse waves in materials with
memory. Int J Eng Sci 43:290–303
190. Rudin W (1976) Principles of mathematical analysis. McGraw-Hill, New York
191. Meera AP, Said S, Grohens Y, Thomas S (2009) Nonlinear viscoelastic behavior of silicafilled natural rubber nanocomposites. J Phys Chem C 113(42):17997–18002
192. Wu JD, Liechti KM (2000) Multiaxial and time dependent behavior of a filled rubber. Mech
Time-Depend Mater 4:293–331
Modeling of Non-Linear Viscoelastic Behavior of Filled Rubbers
271