메뉴 건너뛰기




Volumn 50, Issue 4, 2006, Pages 495-512

A micromechanics-based model for the Mullins effect

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; FILLER METALS; MATHEMATICAL MODELS; RHEOLOGY; RUBBER; STRESS ANALYSIS;

EID: 33749011438     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.2206706     Document Type: Conference Paper
Times cited : (92)

References (30)
  • 2
    • 0033723548 scopus 로고    scopus 로고
    • A theory of stress-softening in incompressible isotropic materials
    • Beatty, M. F., and S. Krishnaswamy, ";;A theory of stress-softening in incompressible isotropic materials,";; J. Mech. Phys. Solids 48, 1931-1965 (2000).
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 1931-1965
    • Beatty, M.F.1    Krishnaswamy, S.2
  • 4
    • 33645090946 scopus 로고    scopus 로고
    • A model for cyclic deformations of shape memory alloys
    • D'Ambrosio, P., S. Marzano, M. D. Piccioni, and G. Puglisi, ";;A model for cyclic deformations of shape memory alloys,";; J. Phys. IV 115, 163-174 (2004).
    • (2004) J. Phys. IV , vol.115 , pp. 163-174
    • D'Ambrosio, P.1    Marzano, S.2    Piccioni, M.D.3    Puglisi, G.4
  • 5
    • 0000632021 scopus 로고
    • The thermodynamics of irreversible processes. IV. the theory of elasticity and inelasticity
    • Eckart, C., ";;The thermodynamics of irreversible processes. IV. The theory of elasticity and inelasticity,";; Phys. Rev. 73, 373-382 (1948).
    • (1948) Phys. Rev. , vol.73 , pp. 373-382
    • Eckart, C.1
  • 6
    • 16244394883 scopus 로고    scopus 로고
    • A phenomenological energy-based model to characterize stress-softening effect in elastomers
    • Elías-Zúniga, Z., ";;A phenomenological energy-based model to characterize stress-softening effect in elastomers,";; Polymer 46, 3496-3506 (2005).
    • (2005) Polymer , vol.46 , pp. 3496-3506
    • Elías-Zúniga, Z.1
  • 7
    • 0020881931 scopus 로고
    • Helical shear of an elastic, circular tube with a nonconvex stored energy
    • Fosdick, R. L., and G. MacSithigh, ";;Helical shear of an elastic, circular tube with a nonconvex stored energy,";; Arch. Ration. Mech. Anal. 84, 31-53 (1983).
    • (1983) Arch. Ration. Mech. Anal. , vol.84 , pp. 31-53
    • Fosdick, R.L.1    MacSithigh, G.2
  • 8
    • 0002163820 scopus 로고    scopus 로고
    • A new constitutive relation for rubber
    • Gent, A., ";;A new constitutive relation for rubber,";; Rubber Chem. Technol. 69, 59-61 (1996).
    • (1996) Rubber Chem. Technol. , vol.69 , pp. 59-61
    • Gent, A.1
  • 9
    • 0002002153 scopus 로고
    • A micro-mechanically based continuum damage model for carbon black filled rubbers incorporating the Mullins effect
    • Govindjee, S., and J. Simo, ";;A micro-mechanically based continuum damage model for carbon black filled rubbers incorporating the Mullins effect,";; J. Mech. Phys. Solids 39, 87-112 (1991).
    • (1991) J. Mech. Phys. Solids , vol.39 , pp. 87-112
    • Govindjee, S.1    Simo, J.2
  • 10
    • 84953653031 scopus 로고
    • A new approach for the theory of relaxing polymeric media
    • Green, M. S., and A. V. Tobolsky, ";;A new approach for the theory of relaxing polymeric media,";; J. Chem. Phys. 14, 87-112 (1946).
    • (1946) J. Chem. Phys. , vol.14 , pp. 87-112
    • Green, M.S.1    Tobolsky, A.V.2
  • 11
    • 33749014090 scopus 로고    scopus 로고
    • Phenomenological hyperelastic strain-stiffening constitutive models for rubber
    • Horgan, C. O., and G. Saccomandi, ";;Phenomenological hyperelastic strain-stiffening constitutive models for rubber,";; Rubber Chem. Technol., 73, 152-169 (2006).
    • (2006) Rubber Chem. Technol. , vol.73 , pp. 152-169
    • Horgan, C.O.1    Saccomandi, G.2
  • 12
    • 2542630318 scopus 로고    scopus 로고
    • A theory of stress softening of elastomers based on finite chain extensibility
    • Horgan, C. O., R. W. Ogden, and G. Saccomandi, ";;A theory of stress softening of elastomers based on finite chain extensibility,";; Proc. R. Soc. London, Ser. A 460, 1737-1754 (2004).
    • (2004) Proc. R. Soc. London, Ser. A , vol.460 , pp. 1737-1754
    • Horgan, C.O.1    Ogden, R.W.2    Saccomandi, G.3
  • 13
    • 0031380766 scopus 로고    scopus 로고
    • Stress softening, strain localization and permanent set in the circumferential shear of an incompressible elastomeric cylinder
    • Huntley, H. E., A. S. Wineman, and K. R. Rajagopal, ";;Stress softening, strain localization and permanent set in the circumferential shear of an incompressible elastomeric cylinder,";; IMA J. Appl. Math. 59, 309-338 (1997).
    • (1997) IMA J. Appl. Math. , vol.59 , pp. 309-338
    • Huntley, H.E.1    Wineman, A.S.2    Rajagopal, K.R.3
  • 14
    • 0002765508 scopus 로고
    • The Mullins effect in uniaxial extension and its influence on the transverse vibration of a rubber string
    • Johnson, M. A., and M. F. Beatty, ";;The Mullins effect in uniaxial extension and its influence on the transverse vibration of a rubber string,";; Continuum Mech. Thermodyn. 5, 83-115 (1993).
    • (1993) Continuum Mech. Thermodyn. , vol.5 , pp. 83-115
    • Johnson, M.A.1    Beatty, M.F.2
  • 15
    • 33748993651 scopus 로고    scopus 로고
    • Scission induced by circular shear and heat conduction in an elastomeric cylinder
    • Min, J., and A. Wineman, ";;Scission induced by circular shear and heat conduction in an elastomeric cylinder,";; Int. J. Non-Linear Mech. 36, 1251-1261 (2001).
    • (2001) Int. J. Non-Linear Mech. , vol.36 , pp. 1251-1261
    • Min, J.1    Wineman, A.2
  • 16
    • 0001611158 scopus 로고
    • Effect of stretching on the properties of rubber
    • Mullins, L., ";;Effect of stretching on the properties of rubber,";; J. Rubber Res. 16, 275-289 (1947).
    • (1947) J. Rubber Res. , vol.16 , pp. 275-289
    • Mullins, L.1
  • 17
    • 0000320199 scopus 로고
    • Softening of rubber by deformation
    • Mullins, L., ";;Softening of rubber by deformation,";; Rubber Chem. Technol. 42, 339-362 (1969).
    • (1969) Rubber Chem. Technol. , vol.42 , pp. 339-362
    • Mullins, L.1
  • 18
    • 0000628543 scopus 로고
    • Theoretical model for the elastic behavior of filler-reinforced vulcanized rubbers
    • Mullins, L., and N. Tobin, ";;Theoretical model for the elastic behavior of filler-reinforced vulcanized rubbers,";; Rubber Chem. Technol. 30, 551-571 (1953).
    • (1953) Rubber Chem. Technol. , vol.30 , pp. 551-571
    • Mullins, L.1    Tobin, N.2
  • 19
    • 0003791412 scopus 로고    scopus 로고
    • Ellis Horwood, Chichester, 1984 Reprinted by Dover, Mineola, NY
    • Ogden, R. W., Non-linear Elastic Deformations (Ellis Horwood, Chichester, 1984) (Reprinted by Dover, Mineola, NY, 1997).
    • (1997) Non-linear Elastic Deformations
    • Ogden, R.W.1
  • 20
    • 0041818920 scopus 로고    scopus 로고
    • Pseudo-elasticity and stress softening
    • edited by Y. B. Fu and R. W. Ogden Cambridge University Press, Cambridge
    • Ogden, R. W., ";;Pseudo-elasticity and stress softening,";; in Nonlinear Elasticity: Theory and Applications, edited by Y. B. Fu and R. W. Ogden (Cambridge University Press, Cambridge, 2001), pp. 491-522.
    • (2001) Nonlinear Elasticity: Theory and Applications , pp. 491-522
    • Ogden, R.W.1
  • 21
    • 0035343024 scopus 로고    scopus 로고
    • Stress softening and residual strain in the azimuthal shear of a pseudo-elastic circular cylindrical tube
    • Ogden, R. W., ";;Stress softening and residual strain in the azimuthal shear of a pseudo-elastic circular cylindrical tube,";; Int. J. Non-Linear Mech. 36, 477-487 (2001).
    • (2001) Int. J. Non-Linear Mech. , vol.36 , pp. 477-487
    • Ogden, R.W.1
  • 22
    • 0036026586 scopus 로고    scopus 로고
    • A mechanism of transformational plasticity
    • Puglisi, G., and L. Truskinovsky, ";;A mechanism of transformational plasticity,";; Continuum Mech. Thermodyn. 14, 437-457 (2002).
    • (2002) Continuum Mech. Thermodyn. , vol.14 , pp. 437-457
    • Puglisi, G.1    Truskinovsky, L.2
  • 24
    • 4644370985 scopus 로고    scopus 로고
    • On the thermomechanics of materials that have multiple natural configurations. i
    • Rajagopal, K. R., and A. R. Srinivasa, ";;On the thermomechanics of materials that have multiple natural configurations. I,";; ZAMP 55, 861-893 (2004).
    • (2004) ZAMP , vol.55 , pp. 861-893
    • Rajagopal, K.R.1    Srinivasa, A.R.2
  • 25
    • 0027091948 scopus 로고
    • A constitutive equation for nonlinear solids which undergo deformation induced microstructural changes
    • Rajagopal, K. R., and S. Wineman, ";;A constitutive equation for nonlinear solids which undergo deformation induced microstructural changes,";; Int. J. Plast. 8, 385-395 (1992).
    • (1992) Int. J. Plast. , vol.8 , pp. 385-395
    • Rajagopal, K.R.1    Wineman, S.2
  • 27
    • 33749004755 scopus 로고    scopus 로고
    • -complete ref cited on
    • Wineman, S.-complete ref cited on p. 2 (2001).
    • (2001) , pp. 2
    • Wineman, S.1
  • 28
    • 0037412164 scopus 로고    scopus 로고
    • Time dependent scission and cross-linking in an elastomeric cylinder undergoing circular shear and heat conduction
    • Wineman, S., and J. Min, ";;Time dependent scission and cross-linking in an elastomeric cylinder undergoing circular shear and heat conduction,";; Int. J. Non-Linear Mech. 38, 969-983 (2003).
    • (2003) Int. J. Non-Linear Mech. , vol.38 , pp. 969-983
    • Wineman, S.1    Min, J.2
  • 29
    • 0002611938 scopus 로고
    • On a constitutive theory for materials undergoing microstructural changes
    • Wineman, S., and K. R. Rajagopal, ";;On a constitutive theory for materials undergoing microstructural changes,";; Arch. Mech. 42, 53-57 (1990).
    • (1990) Arch. Mech. , vol.42 , pp. 53-57
    • Wineman, S.1    Rajagopal, K.R.2
  • 30
    • 0030241575 scopus 로고    scopus 로고
    • Chemorheological relaxation, residual stress and permanent set arising in radial deformations of elastomeric hollow spheres
    • Wineman, S., H. E. Huntley, and K. R. Rajagopal, ";;Chemorheological relaxation, residual stress and permanent set arising in radial deformations of elastomeric hollow spheres,";; Math. Mech. Solids 1, 267-300 (1996).
    • (1996) Math. Mech. Solids , vol.1 , pp. 267-300
    • Wineman, S.1    Huntley, H.E.2    Rajagopal, K.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.