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Volumn 53, Issue 10, 2005, Pages 2231-2258

A micro-macro approach to rubber-like materials. Part II: The micro-sphere model of finite rubber viscoelasticity

Author keywords

Experiments; Micromechanics; Network models; Rubber viscoelasticity; Simulation

Indexed keywords

COMPOSITE MICROMECHANICS; CONSTRAINT THEORY; MATHEMATICAL MODELS; NUMERICAL METHODS; RUBBER; STRESS ANALYSIS;

EID: 23844545370     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2005.04.006     Document Type: Article
Times cited : (184)

References (55)
  • 1
    • 0022593796 scopus 로고
    • Efficient numerical integration on the surface of a sphere
    • Z.P. Bažant, and B.H. Oh Efficient numerical integration on the surface of a sphere Z. Angew. Math. Mech. 66 1986 37 49
    • (1986) Z. Angew. Math. Mech. , vol.66 , pp. 37-49
    • Bažant, Z.P.1    Oh, B.H.2
  • 3
    • 0032066417 scopus 로고    scopus 로고
    • Constitutive modeling of the large strain time-dependent behavior of elastomers
    • J.S. Bergström, and M.C. Boyce Constitutive modeling of the large strain time-dependent behavior of elastomers J. Mech. Phys. Solids 46 1998 931 954
    • (1998) J. Mech. Phys. Solids , vol.46 , pp. 931-954
    • Bergström, J.S.1    Boyce, M.C.2
  • 6
    • 0000906473 scopus 로고
    • Foundations of linear viscoelasticity
    • B. Coleman, and W. Noll Foundations of linear viscoelasticity Rev. Mod. Phys. 33 1961 239 249
    • (1961) Rev. Mod. Phys. , vol.33 , pp. 239-249
    • Coleman, B.1    Noll, W.2
  • 7
    • 36849104050 scopus 로고
    • Thermodynamics with internal state variables
    • B. Coleman, and M.E. Gurtin Thermodynamics with internal state variables J. Chem. Phys. 47 1967 597 613
    • (1967) J. Chem. Phys. , vol.47 , pp. 597-613
    • Coleman, B.1    Gurtin, M.E.2
  • 8
    • 35148860246 scopus 로고
    • Reptation of a polymer chain in the presence of fixed obstacles
    • P.G. De Gennes Reptation of a polymer chain in the presence of fixed obstacles J. Chem. Phys. 55 1971 572 579
    • (1971) J. Chem. Phys. , vol.55 , pp. 572-579
    • De Gennes, P.G.1
  • 10
    • 0001868284 scopus 로고
    • Nonlinear elasticity
    • Dryden, H.L., von Kármán, Th. (Eds.) Academic Press, New York, 1956
    • Doyle, T.C., Ericksen, J.L., 1956. Nonlinear elasticity, in: Dryden, H.L., von Kármán, Th. (Eds.), Advances in Applied Mechanics, vol. 4. Academic Press, New York, 1956, pp. 53-116.
    • (1956) Advances in Applied Mechanics , vol.4 , pp. 53-116
    • Doyle, T.C.1    Ericksen, J.L.2
  • 12
    • 0031192585 scopus 로고    scopus 로고
    • A Constitutive Model for Nonlinear Viscoelastic Media
    • A.D. Drozdov A Constitutive Model for Nonlinear Viscoelastic Media Int. J. Solids Struct. 34 1997 2685 2707
    • (1997) Int. J. Solids Struct. , vol.34 , pp. 2685-2707
    • Drozdov, A.D.1
  • 13
    • 0035994944 scopus 로고    scopus 로고
    • Finite viscoelasticity of filled rubbers: The effects of pre-loading and thermal recovery
    • A.D. Drozdov, and A. Dorfmann Finite viscoelasticity of filled rubbers: the effects of pre-loading and thermal recovery Continuum Mech. Thermodyn. 14 2002 337 361
    • (2002) Continuum Mech. Thermodyn. , vol.14 , pp. 337-361
    • Drozdov, A.D.1    Dorfmann, A.2
  • 16
    • 11344284649 scopus 로고
    • A kinetic interpretation of the rheological behavior of high polymers
    • J. Furukawa A kinetic interpretation of the rheological behavior of high polymers J. Polym. Sci. 15 1955 193 202
    • (1955) J. Polym. Sci. , vol.15 , pp. 193-202
    • Furukawa, J.1
  • 17
    • 0026754884 scopus 로고
    • Mullins' effect and the strain amplitude dependence of the storage modulus
    • S. Govindjee, and J.C. Simó Mullins' effect and the strain amplitude dependence of the storage modulus Int. J. Solids Struct. 29 1992 1737 1751
    • (1992) Int. J. Solids Struct. , vol.29 , pp. 1737-1751
    • Govindjee, S.1    Simó, J.C.2
  • 18
    • 84953653031 scopus 로고
    • A new approach to the theory of relaxing polymeric media
    • M.S. Green, and A.V. Tobolsky A new approach to the theory of relaxing polymeric media J. Chem. Phys. 14 1946 80 92
    • (1946) J. Chem. Phys. , vol.14 , pp. 80-92
    • Green, M.S.1    Tobolsky, A.V.2
  • 19
    • 0001531618 scopus 로고
    • On the mathematical modelling of material behavior in continuum mechanics
    • P. Haupt On the mathematical modelling of material behavior in continuum mechanics Acta Mech. 100 1993 129 154
    • (1993) Acta Mech. , vol.100 , pp. 129-154
    • Haupt, P.1
  • 20
    • 0035270279 scopus 로고    scopus 로고
    • Viscoplasticity of elastomeric materials: Experimental facts and constitutive modelling
    • P. Haupt, and K. Sedlan Viscoplasticity of elastomeric materials: experimental facts and constitutive modelling Arch. Appl. Mech. 171 2001 89 109
    • (2001) Arch. Appl. Mech. , vol.171 , pp. 89-109
    • Haupt, P.1    Sedlan, K.2
  • 21
    • 0030214837 scopus 로고    scopus 로고
    • A new viscoelastic constitutive model for continuous media at finite thermomechanical changes
    • G.A. Holzapfel, and J.C. Simó A new viscoelastic constitutive model for continuous media at finite thermomechanical changes Int. J. Solids Struct. 33 1996 3019 3034
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 3019-3034
    • Holzapfel, G.A.1    Simó, J.C.2
  • 22
    • 0001245542 scopus 로고
    • Strain energy functions of rubber. II. The characterization of filled vulcanizates
    • A.G. James, and A. Green Strain energy functions of rubber. II. The characterization of filled vulcanizates J. Appl. Polym. Sci. 19 1975 2319 2330
    • (1975) J. Appl. Polym. Sci. , vol.19 , pp. 2319-2330
    • James, A.G.1    Green, A.2
  • 23
    • 36849118054 scopus 로고
    • Theory of elastic properties of rubber
    • H.M. James, and E. Guth Theory of elastic properties of rubber J. Chem. Phys. 11 1943 455 481
    • (1943) J. Chem. Phys. , vol.11 , pp. 455-481
    • James, H.M.1    Guth, E.2
  • 24
    • 0031070799 scopus 로고    scopus 로고
    • Formulation and implementation of three-dimensional viscoelasticity at small and finite strains
    • M. Kaliske, and H. Rothert Formulation and implementation of three-dimensional viscoelasticity at small and finite strains Comput. Mech. 19 1997 228 239
    • (1997) Comput. Mech. , vol.19 , pp. 228-239
    • Kaliske, M.1    Rothert, H.2
  • 25
    • 0003518340 scopus 로고
    • Non-Newtonian flow in incompressible fluids
    • College of Aeronautics, Cranfield
    • Kaye, A., 1962. Non-Newtonian flow in incompressible fluids. College of Aeronautics, Cranfield, CoA Note No. 134.
    • (1962) CoA Note No. 134 , vol.134
    • Kaye, A.1
  • 26
    • 0013174929 scopus 로고    scopus 로고
    • An Eulerian overstress-type viscoplastic constitutive model in spectral form. Formulation and numerical implementation
    • Keck, J., Miehe, C., 1997. An Eulerian overstress-type viscoplastic constitutive model in spectral form. Formulation and numerical implementation. In: Computational Plasticity; Fundamentals and Applications, vol. 1, pp. 997-1003.
    • (1997) Computational Plasticity; Fundamentals and Applications , vol.1 , pp. 997-1003
    • Keck, J.1    Miehe, C.2
  • 27
    • 34347098764 scopus 로고
    • Beziehungen zwischen elastischen Konstanten und Dehnungsdoppelbrechung hochelastischer Stoffe
    • W. Kuhn, and F. Grün Beziehungen zwischen elastischen Konstanten und Dehnungsdoppelbrechung hochelastischer Stoffe Kolloid-Zeitschrift. Band 101 1942 248 271
    • (1942) Kolloid-Zeitschrift. Band , vol.101 , pp. 248-271
    • Kuhn, W.1    Grün, F.2
  • 29
    • 0031274197 scopus 로고    scopus 로고
    • On the large deformation behaviour of reinforced rubber at different temperatures
    • A. Lion On the large deformation behaviour of reinforced rubber at different temperatures J. Mech. Phys. Solids 45 1997 1805 1834
    • (1997) J. Mech. Phys. Solids , vol.45 , pp. 1805-1834
    • Lion, A.1
  • 30
    • 0000864574 scopus 로고
    • A network theory of flow birefringence and stress in concentrated polymer solutions
    • A.S. Lodge A network theory of flow birefringence and stress in concentrated polymer solutions Trans. Faraday Soc. 52 1956 120 130
    • (1956) Trans. Faraday Soc. , vol.52 , pp. 120-130
    • Lodge, A.S.1
  • 31
    • 46549097431 scopus 로고
    • A model of rubber viscoelasticity
    • J. Lubliner A model of rubber viscoelasticity Mech. Res. Commun. 12 1985 93 99
    • (1985) Mech. Res. Commun. , vol.12 , pp. 93-99
    • Lubliner, J.1
  • 32
    • 0009940142 scopus 로고    scopus 로고
    • A physically-based constitutive model for the finite viscoelastic deformations in rubbery polymers based on a directly evaluated micro-macro transition
    • D. Besdo R.H. Schuster J. Ihlemann Balkema Publications Lisse
    • F. Lulei, and C. Miehe A physically-based constitutive model for the finite viscoelastic deformations in rubbery polymers based on a directly evaluated micro-macro transition D. Besdo R.H. Schuster J. Ihlemann Constitutive Models for Rubber 2001 Balkema Publications Lisse 117 125
    • (2001) Constitutive Models for Rubber , pp. 117-125
    • Lulei, F.1    Miehe, C.2
  • 33
    • 0030083167 scopus 로고    scopus 로고
    • Dynamics of entanglements: A nonlinear model consistent with the Cox-Merz Rule
    • G. Marrucci Dynamics of entanglements: a nonlinear model consistent with the Cox-Merz Rule J. Non-Newtonian Fluid Mech. 62 1996 279 289
    • (1996) J. Non-Newtonian Fluid Mech. , vol.62 , pp. 279-289
    • Marrucci, G.1
  • 35
    • 0032182779 scopus 로고    scopus 로고
    • A constitutive frame of elastoplasticity at large strains based on the notion of a plastic metric
    • C. Miehe A constitutive frame of elastoplasticity at large strains based on the notion of a plastic metric Int. J. Solids Struct. 35 1998 3859 3897
    • (1998) Int. J. Solids Struct. , vol.35 , pp. 3859-3897
    • Miehe, C.1
  • 36
    • 0033874354 scopus 로고    scopus 로고
    • Superimposed Finite Elastic-Viscoelastic-plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation
    • C. Miehe, and J. Keck Superimposed Finite Elastic-Viscoelastic- plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation J. Mech. Phys. Solids 48 2000 323 365
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 323-365
    • Miehe, C.1    Keck, J.2
  • 37
    • 0036778671 scopus 로고    scopus 로고
    • Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals
    • C. Miehe, J. Schotte, and M. Lambrecht Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals J. Mech. Phys. Solids 50 2002 2123 2167
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 2123-2167
    • Miehe, C.1    Schotte, J.2    Lambrecht, M.3
  • 38
    • 4544245878 scopus 로고    scopus 로고
    • A Micro-Macro approach to rubber-like materials. Part I: The non-affine micro-sphere model of rubber elasticity
    • C. Miehe, S. Göktepe, and F. Lulei A Micro-Macro approach to rubber-like materials. Part I: The non-affine micro-sphere model of rubber elasticity J. Mech. Phys. Solids 52 2004 2617 2660
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 2617-2660
    • Miehe, C.1    Göktepe, S.2    Lulei, F.3
  • 39
    • 0017981477 scopus 로고
    • A nonlinear network viscoelastic model
    • N. Phan-Thien A nonlinear network viscoelastic model J. Rheol. 22 1978 259 283
    • (1978) J. Rheol. , vol.22 , pp. 259-283
    • Phan-Thien, N.1
  • 41
    • 0037411479 scopus 로고    scopus 로고
    • A Micromechanically motivated material model for the thermo-viscoelastic material behaviour of rubber-like polymers
    • S. Reese A Micromechanically motivated material model for the thermo-viscoelastic material behaviour of rubber-like polymers Int. J. Plasticity 19 2003 909 940
    • (2003) Int. J. Plasticity , vol.19 , pp. 909-940
    • Reese, S.1
  • 42
    • 0032157873 scopus 로고    scopus 로고
    • A theory of finite viscoplasticity and numerical aspects
    • S. Reese, and S. Govindjee A theory of finite viscoplasticity and numerical aspects Int. J. Solids Struct. 35 1998 3455 3482
    • (1998) Int. J. Solids Struct. , vol.35 , pp. 3455-3482
    • Reese, S.1    Govindjee, S.2
  • 43
    • 0344252790 scopus 로고
    • A theory of the linear viscoelastic properties of dilute solutions of colling polymers
    • P.E. Rouse A theory of the linear viscoelastic properties of dilute solutions of colling polymers J. Chem. Phys. 21 1953 1272 1280
    • (1953) J. Chem. Phys. , vol.21 , pp. 1272-1280
    • Rouse, P.E.1
  • 44
    • 36849116494 scopus 로고
    • A molecular theory of stress relaxation in polymeric media
    • K.W. Scott, and R.S. Stein A molecular theory of stress relaxation in polymeric media J. Chem. Phys. 21 1953 1281 1286
    • (1953) J. Chem. Phys. , vol.21 , pp. 1281-1286
    • Scott, K.W.1    Stein, R.S.2
  • 45
    • 0343952881 scopus 로고
    • Un modèle viscoélastique non linéaire avec configuration intermédiaire
    • F. Sidoroff Un modèle viscoélastique non linéaire avec configuration intermédiaire J. Mécanique 19 1974 2319 2330
    • (1974) J. Mécanique , vol.19 , pp. 2319-2330
    • Sidoroff, F.1
  • 46
    • 0023288184 scopus 로고
    • On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects
    • J.C. Simó On a fully three-dimensional finite-strain viscoelastic damage model: formulation and computational aspects Comput. Methods Appl. Mech. Eng. 60 1987 153 173
    • (1987) Comput. Methods Appl. Mech. Eng. , vol.60 , pp. 153-173
    • Simó, J.C.1
  • 47
    • 0026885724 scopus 로고
    • Viscoelastic properties of physically cross-linked networks Part 3. Time-dependent phenomena
    • F. Tanaka, and S.F. Edwards Viscoelastic properties of physically cross-linked networks Part 3. Time-dependent phenomena J. Non-Newtonian Fluid Mech. 43 1992 289 309
    • (1992) J. Non-Newtonian Fluid Mech. , vol.43 , pp. 289-309
    • Tanaka, F.1    Edwards, S.F.2
  • 48
    • 0027108539 scopus 로고
    • Viscoelastic properties of physically cross-linked networks. Transient network theory
    • F. Tanaka, and S.F. Edwards Viscoelastic properties of physically cross-linked networks. Transient network theory Macromolecules 25 1992 1516 1523
    • (1992) Macromolecules , vol.25 , pp. 1516-1523
    • Tanaka, F.1    Edwards, S.F.2
  • 49
    • 85096884244 scopus 로고
    • Revised ed Oxford University Press Oxford
    • R.I. Tanner Engineering Rheology Revised ed 1985 Oxford University Press Oxford
    • (1985) Engineering Rheology
    • Tanner, R.I.1
  • 50
    • 0024097104 scopus 로고
    • From A to (BK)Z in constitutive relations
    • R.I. Tanner From A to (BK)Z in constitutive relations J. Rheol. 32 1988 673 702
    • (1988) J. Rheol. , vol.32 , pp. 673-702
    • Tanner, R.I.1
  • 51
    • 0001636070 scopus 로고
    • A non-Gaussian theory of rubber in biaxial strain. I. Mechanical properties
    • Treloar, L.R.G., Riding, G., 1979. A non-Gaussian theory of rubber in biaxial strain. I. Mechanical properties. Proceedings of the Royal Society of London Series A, vol. A369, pp. 261-280.
    • (1979) Proceedings of the Royal Society of London Series A , vol.A369 , pp. 261-280
    • Treloar, L.R.G.1    Riding, G.2
  • 52
    • 0002565890 scopus 로고
    • The non-linear field theories of mechanics
    • S. Flügge Springer Berlin
    • C. Truesdell, and W. Noll The non-linear field theories of mechanics S. Flügge Encyclopedia of Physics vol. III/3 1965 Springer Berlin
    • (1965) Encyclopedia of Physics , vol.3 , Issue.3
    • Truesdell, C.1    Noll, W.2
  • 54
    • 0001532573 scopus 로고
    • The visco-elastic properties of network structure I. General formalism
    • M. Yamamoto The visco-elastic properties of network structure I. General formalism J. Phys. Soc. Japan 11 1956 413 421
    • (1956) J. Phys. Soc. Japan , vol.11 , pp. 413-421
    • Yamamoto, M.1
  • 55
    • 36849141559 scopus 로고
    • Dynamics of polymer molecules in dilute solution: Viscoelasticity, flow birefringence and dielectric loss
    • B.H. Zimm Dynamics of polymer molecules in dilute solution: viscoelasticity, flow birefringence and dielectric loss J. Chem. Phys. 24 1956 269 278
    • (1956) J. Chem. Phys. , vol.24 , pp. 269-278
    • Zimm, B.H.1


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