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Volumn 52, Issue 10, 2004, Pages 2187-2205

Constitutive model for stretch-induced softening of the stress-stretch behavior of elastomeric materials

Author keywords

Elastomer; Mullins' effect; Rubber; Softening; Stress strain behavior

Indexed keywords

COMPUTER SIMULATION; DEFORMATION; ELASTOMERS; MICROSTRUCTURE; RUBBER; STRESS ANALYSIS; STRETCHING; VOLUME FRACTION;

EID: 4544319199     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2004.04.008     Document Type: Article
Times cited : (197)

References (48)
  • 1
    • 0041097550 scopus 로고
    • A three-dimensional constitutive model for the large stretch behavior of elastomers
    • Arruda E.M., Boyce M.C. A three-dimensional constitutive model for the large stretch behavior of elastomers. J. Mech. Phys. Solids. 41:1993;389-412.
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 389-412
    • Arruda, E.M.1    Boyce, M.C.2
  • 2
    • 0033723548 scopus 로고    scopus 로고
    • A theory of stress-softening in incompressible isotropic materials
    • Beatty M.F., Krishnaswamy S. A theory of stress-softening in incompressible isotropic materials. J. Mech. Phys. Solids. 48:2000;1931-1965.
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 1931-1965
    • Beatty, M.F.1    Krishnaswamy, S.2
  • 3
    • 0033326197 scopus 로고    scopus 로고
    • Mechanical behavior of particle filled elastomers
    • Bergstrom J., Boyce M.C. Mechanical behavior of particle filled elastomers. Rubber Chem. Tech. 72:1999;633-656.
    • (1999) Rubber Chem. Tech. , vol.72 , pp. 633-656
    • Bergstrom, J.1    Boyce, M.C.2
  • 4
    • 0034325737 scopus 로고    scopus 로고
    • Large strain time-dependent behavior of filled elastomers
    • Bergstrom J.S., Boyce M.C. Large strain time-dependent behavior of filled elastomers. Mech. Mater. 32:2000;627-644.
    • (2000) Mech. Mater. , vol.32 , pp. 627-644
    • Bergstrom, J.S.1    Boyce, M.C.2
  • 5
    • 0001130233 scopus 로고
    • Breakage of carbon-rubber networks by applied stress
    • Blanchard A.F., Parkinson D. Breakage of carbon-rubber networks by applied stress. Ind. Eng. Chem. 44:1952;799.
    • (1952) Ind. Eng. Chem. , vol.44 , pp. 799
    • Blanchard, A.F.1    Parkinson, D.2
  • 6
    • 0019611001 scopus 로고
    • Modelvorstellungen zue Molekulorientierung in gedehnten segmentierten polyurehan-elastomeren
    • Bonart R., Muller-Riederer G. Modelvorstellungen zue Molekulorientierung in gedehnten segmentierten polyurehan-elastomeren. Colloid Polym. Sci. 259:1981;926-936.
    • (1981) Colloid Polym. Sci. , vol.259 , pp. 926-936
    • Bonart, R.1    Muller-Riederer, G.2
  • 7
    • 0035371436 scopus 로고    scopus 로고
    • Micromechanisms of deformation and recovery in thermoplastic vulcanizates
    • Boyce M.C., Socrate S., Yeh O.C., Kear K., Shaw K. Micromechanisms of deformation and recovery in thermoplastic vulcanizates. J. Mech. Phys. Solids. 49:2001;1073-1098.
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 1073-1098
    • Boyce, M.C.1    Socrate, S.2    Yeh, O.C.3    Kear, K.4    Shaw, K.5
  • 8
    • 0035370914 scopus 로고    scopus 로고
    • Micromechanisms of the cyclic softening in thermoplastic vulcanizates
    • Boyce M.C., Yeh O.C., Socrate S., Kear K., Shaw K. Micromechanisms of the cyclic softening in thermoplastic vulcanizates. J. Mech. Phys. Solids. 49:2001;1343-1360.
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 1343-1360
    • Boyce, M.C.1    Yeh, O.C.2    Socrate, S.3    Kear, K.4    Shaw, K.5
  • 9
    • 8344236638 scopus 로고
    • On the elastic moduli of some heterogeneous materials
    • Budiansky B. On the elastic moduli of some heterogeneous materials. J. Mech. Phys. Solids. 13:1965;223-227.
    • (1965) J. Mech. Phys. Solids , vol.13 , pp. 223-227
    • Budiansky, B.1
  • 10
    • 84981803919 scopus 로고
    • Molecular basis for the Mullins effect
    • Bueche F. Molecular basis for the Mullins effect. J. Appl. Polym. Sci. 4:1960;107-114.
    • (1960) J. Appl. Polym. Sci. , vol.4 , pp. 107-114
    • Bueche, F.1
  • 11
    • 84981786300 scopus 로고
    • Mullins effect and rubber-filler interaction
    • Bueche F. Mullins effect and rubber-filler interaction. J. Appl. Polym. Sci. 5:1961;271-281.
    • (1961) J. Appl. Polym. Sci. , vol.5 , pp. 271-281
    • Bueche, F.1
  • 12
    • 0016533660 scopus 로고
    • The effects of surface chemical interactions on the properties of filler-reinforced rubbers
    • Dannenberg E.M. The effects of surface chemical interactions on the properties of filler-reinforced rubbers. Rubber Chem. Technol. 48:1974;410-444.
    • (1974) Rubber Chem. Technol. , vol.48 , pp. 410-444
    • Dannenberg, E.M.1
  • 13
    • 0038239566 scopus 로고    scopus 로고
    • A pseudo-elastic model for loading, partial unloading and reloading of particle-reinforced rubber
    • Dorfmann A., Ogden R.W. A pseudo-elastic model for loading, partial unloading and reloading of particle-reinforced rubber. Int. J. Solids Struct. 40:2003;2699-2714.
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 2699-2714
    • Dorfmann, A.1    Ogden, R.W.2
  • 14
    • 84979113075 scopus 로고
    • Eine neue bestimmung der molekuldimensionen
    • Einstein A. Eine neue bestimmung der molekuldimensionen. Ann. Phys. (Leipzig). 19:1906;289.
    • (1906) Ann. Phys. (Leipzig) , vol.19 , pp. 289
    • Einstein, A.1
  • 15
    • 84976432379 scopus 로고
    • Berichtigung zu meiner arbeit: Eine neue bestimmung der molekuldimensionen
    • Einstein A. Berichtigung zu meiner arbeit. Eine neue bestimmung der molekuldimensionen Ann. Phys. (Leipzig). 34:1911;591.
    • (1911) Ann. Phys. (Leipzig) , vol.34 , pp. 591
    • Einstein, A.1
  • 16
    • 0002002153 scopus 로고
    • A micro-mechanically based continuum damage model for carbon black-filled rubbers incorporating Mullins' effect
    • Govindjee S., Simo J. A micro-mechanically based continuum damage model for carbon black-filled rubbers incorporating Mullins' effect. J. Mech. Phys. Solids. 39:1991;87-112.
    • (1991) J. Mech. Phys. Solids , vol.39 , pp. 87-112
    • Govindjee, S.1    Simo, J.2
  • 17
    • 0006313522 scopus 로고
    • Transition from micro-mechanics to computationally efficient phenomenology: Carbon black filled rubbers incorporating Mullins' effect
    • Govindjee S., Simo J. Transition from micro-mechanics to computationally efficient phenomenology: carbon black filled rubbers incorporating Mullins' effect. J. Mech. Phys. Solids. 40:1992;213-233.
    • (1992) J. Mech. Phys. Solids , vol.40 , pp. 213-233
    • Govindjee, S.1    Simo, J.2
  • 18
    • 0008466625 scopus 로고
    • Theory of filler reinforcement
    • Guth E. Theory of filler reinforcement. J. Appl. Phys. 16:1945;20.
    • (1945) J. Appl. Phys. , vol.16 , pp. 20
    • Guth, E.1
  • 19
    • 0001523035 scopus 로고
    • On the hydrodynamical theory of the viscosity of suspensions
    • Guth E., Gold O. On the hydrodynamical theory of the viscosity of suspensions. Phys. Rev. 53:1938;322.
    • (1938) Phys. Rev. , vol.53 , pp. 322
    • Guth, E.1    Gold, O.2
  • 20
    • 34250099831 scopus 로고
    • Untersuchungen uber die viskositat von suspension und losungen 2. Uber die viskositat von kugelsuspensionen
    • Guth E., Simha R. Untersuchungen uber die viskositat von suspension und losungen 2. uber die viskositat von kugelsuspensionen. Kolloid-Z. 74:1936;266.
    • (1936) Kolloid-Z , vol.74 , pp. 266
    • Guth, E.1    Simha, R.2
  • 21
    • 84981790321 scopus 로고
    • Stress softening in natural rubber vulcanizates, Part III
    • Harwood J.A.C., Payne A.R. Stress softening in natural rubber vulcanizates, Part III. J. Appl. Polym. Sci. 10:1966;315-324.
    • (1966) J. Appl. Polym. Sci. , vol.10 , pp. 315-324
    • Harwood, J.A.C.1    Payne, A.R.2
  • 22
    • 0001104419 scopus 로고
    • Stress softening in natural rubber vulcanizates, Part IV
    • Harwood J.A.C., Payne A.R. Stress softening in natural rubber vulcanizates, Part IV. J. Appl. Polym. Sci. 10:1966;1203-1211.
    • (1966) J. Appl. Polym. Sci. , vol.10 , pp. 1203-1211
    • Harwood, J.A.C.1    Payne, A.R.2
  • 23
    • 84979422803 scopus 로고
    • Stress softening in natural rubber vulcanizates, Part II
    • Harwood J.A.C., Mullins L., Payne A.R. Stress softening in natural rubber vulcanizates, Part II. J. Appl. Polym. Sci. 9:1965;3011-3021.
    • (1965) J. Appl. Polym. Sci. , vol.9 , pp. 3011-3021
    • Harwood, J.A.C.1    Mullins, L.2    Payne, A.R.3
  • 24
    • 2542630318 scopus 로고    scopus 로고
    • A theory of stress softening of elastomers based on finite chain extensility
    • to appear
    • Horgan, C.O., Ogden, R.W., Saccomandi, G., 2004. A theory of stress softening of elastomers based on finite chain extensility. Proc. R. Soc. London, Ser. A, to appear.
    • (2004) Proc. R. Soc. London, Ser. A
    • Horgan, C.O.1    Ogden, R.W.2    Saccomandi, G.3
  • 25
    • 0001245542 scopus 로고
    • Strain energy functions of rubber. II. Characterization of filled vulcanizates
    • James A.G., Green A. Strain energy functions of rubber. II. 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
  • 26
    • 0002765508 scopus 로고
    • The Mullins' effect in uniaxial extension and its influence on the transverse vibration of a rubber string
    • Johnson M.A., Beatty M.F. The Mullins' effect in uniaxial extension and its influence on the transverse vibration of a rubber string. Continuum Mech. Thermodyn. 5:1993;83-115.
    • (1993) Continuum Mech. Thermodyn. , vol.5 , pp. 83-115
    • Johnson, M.A.1    Beatty, M.F.2
  • 27
    • 0000581854 scopus 로고
    • A constitutive equation for the Mullins effect in stress controlled uniaxial extension experiments
    • Johnson M.A., Beatty M.F. A constitutive equation for the Mullins effect in stress controlled uniaxial extension experiments. Continuum Mech. Thermodyn. 5:1993;301-318.
    • (1993) Continuum Mech. Thermodyn. , vol.5 , pp. 301-318
    • Johnson, M.A.1    Beatty, M.F.2
  • 28
    • 0004768924 scopus 로고    scopus 로고
    • A constitutive model for carbon black filled rubber, experimental investigation and mathematical representation
    • Lion A. A constitutive model for carbon black filled rubber, experimental investigation and mathematical representation. Continuum Mech. Thermodyn. 6:1996;153-169.
    • (1996) Continuum Mech. Thermodyn. , vol.6 , pp. 153-169
    • Lion, A.1
  • 29
    • 0031353567 scopus 로고    scopus 로고
    • A physically based method to represent the thermo-mechanical behavior of elastomers
    • Lion A. A physically based method to represent the thermo-mechanical behavior of elastomers. Acta Mech. 123:1997;1-25.
    • (1997) Acta Mech. , vol.123 , pp. 1-25
    • Lion, A.1
  • 32
    • 0033874354 scopus 로고    scopus 로고
    • Superimposed finite elastic-viscoelastic-plastoelastic response with damage in filled rubbery polymers. Experiments, modeling and algorithmic implementation
    • Miehe C., Keck J. Superimposed finite elastic-viscoelastic-plastoelastic response with damage in filled rubbery polymers. Experiments, modeling 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
  • 33
    • 0015625688 scopus 로고
    • Average stress in matrix and average elastic energy of materials with misfitting inclusions
    • Mori T., Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall. 21:1973;571-574.
    • (1973) Acta Metall. , vol.21 , pp. 571-574
    • Mori, T.1    Tanaka, K.2
  • 34
    • 0001677898 scopus 로고
    • Effect of stretching on the properties of rubber
    • Mullins L. Effect of stretching on the properties of rubber. Rubber Chem. Technol. 21:1948;281-300.
    • (1948) Rubber Chem. Technol. , vol.21 , pp. 281-300
    • Mullins, L.1
  • 35
    • 0000320199 scopus 로고
    • Softening of rubber by deformation
    • Mullins L. Softening of rubber by deformation. Rubber Chem. Technol. 42:1969;339-362.
    • (1969) Rubber Chem. Technol. , vol.42 , pp. 339-362
    • Mullins, L.1
  • 36
    • 0000628543 scopus 로고
    • Theoretical model for the elastic behavior of filler-reinforced vulcanized rubber
    • Mullins L., Tobin N.R. Theoretical model for the elastic behavior of filler-reinforced vulcanized rubber. Rubber Chem. Technol. 30:1957;555-571.
    • (1957) Rubber Chem. Technol. , vol.30 , pp. 555-571
    • Mullins, L.1    Tobin, N.R.2
  • 37
    • 84861821893 scopus 로고
    • Stress softenings in natural rubber vulcanizates, Part I
    • Mullins L., Tobin N.R. Stress softenings in natural rubber vulcanizates, Part I. J. Appl. Polym. Sci. 9:1965;2993-3010.
    • (1965) J. Appl. Polym. Sci. , vol.9 , pp. 2993-3010
    • Mullins, L.1    Tobin, N.R.2
  • 38
    • 33746426645 scopus 로고    scopus 로고
    • A pseudo-elastic model for the Mullins effect in filled rubber
    • Ogden R.W., Roxburgh D.G. A pseudo-elastic model for the Mullins effect in filled rubber. Proc. R. Soc. London, Ser. A. 455:1999;2861-2877.
    • (1999) Proc. R. Soc. London, Ser. A , vol.455 , pp. 2861-2877
    • Ogden, R.W.1    Roxburgh, D.G.2
  • 40
    • 0000777111 scopus 로고
    • The overall constitutive behavior of nonlinearly elastic composites
    • Ponte Castaneda P. The overall constitutive behavior of nonlinearly elastic composites. Proc. R. Soc. London, Ser. A. 422:1989;147-171.
    • (1989) Proc. R. Soc. London, Ser. A , vol.422 , pp. 147-171
    • Ponte Castaneda, P.1
  • 41
    • 84936089870 scopus 로고    scopus 로고
    • Stress strain behavior of thermoplastic polyurethane
    • submitted for publication
    • Qi, H.J., Boyce, M.C., 2004. Stress strain behavior of thermoplastic polyurethane. Mech. Mater., submitted for publication.
    • (2004) Mech. Mater.
    • Qi, H.J.1    Boyce, M.C.2
  • 42
    • 0027091948 scopus 로고
    • A constitutive model for nonlinear solids which undergo deformation induced microstructural changes
    • Rajagopal K.R., Wineman A.S. A constitutive model for nonlinear solids which undergo deformation induced microstructural changes. J. Plasticity. 8:1992;385-395.
    • (1992) J. Plasticity , vol.8 , pp. 385-395
    • Rajagopal, K.R.1    Wineman, A.S.2
  • 43
    • 0019246860 scopus 로고
    • Reinforcement of rubber by carbon black
    • Rigbi Z. Reinforcement of rubber by carbon black. Adv. Polym. Sci. 36:1980;21-68.
    • (1980) Adv. Polym. Sci. , vol.36 , pp. 21-68
    • Rigbi, Z.1
  • 44
    • 0023288184 scopus 로고
    • On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects
    • Simo J.C. On a fully three-dimensional finite-strain viscoelastic damage model: formulation and computational aspects. Comput. Method Appl. Mech. Eng. 60:1987;153-173.
    • (1987) Comput. Method Appl. Mech. Eng. , vol.60 , pp. 153-173
    • Simo, J.C.1
  • 45
    • 1842714184 scopus 로고
    • Limiting law of the reinforcement of rubber
    • Smallwood H.M. Limiting law of the reinforcement of rubber. J. Appl. Phys. 15:1944;758.
    • (1944) J. Appl. Phys. , vol.15 , pp. 758
    • Smallwood, H.M.1
  • 46
    • 0001582366 scopus 로고    scopus 로고
    • Effective properties of nonlinear composites
    • P. Suquet. New York: Springer-Wien
    • Suquet P. Effective properties of nonlinear composites. Suquet P. Continuum Micromechanics. 1997;Springer-Wien, New York.
    • (1997) Continuum Micromechanics
    • Suquet, P.1
  • 47
    • 0028671655 scopus 로고
    • Numerical simulation of effect of damaged induced softening on the inflation of a circular rubber membrane
    • Wineman A.S., Huntley H.E. Numerical simulation of effect of damaged induced softening on the inflation of a circular rubber membrane. Int. J. Solids Struct. 31:1994;3295-3313.
    • (1994) Int. J. Solids Struct. , vol.31 , pp. 3295-3313
    • Wineman, A.S.1    Huntley, H.E.2
  • 48
    • 0018206838 scopus 로고
    • Elasticity and structure of polyurethane networks
    • Frisch, K.C., Reegen, S.L. (Eds.). Technomic Publishing Co., Westport, CT
    • Yokoyama, T., 1978. Elasticity and structure of polyurethane networks. In: Frisch, K.C., Reegen, S.L. (Eds.), Advances in Urethane Science and Technology. Technomic Publishing Co., Westport, CT.
    • (1978) Advances in Urethane Science and Technology
    • Yokoyama, T.1


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