메뉴 건너뛰기




Volumn 53, Issue 5, 2002, Pages 794-814

A new phenomenological model for stress-softening in elastomers

Author keywords

Constitutive equations; Damaged induced inelasticity; Elastomers; Finite deformations; Mullins effect; Non Gaussian network models; Simple tension; Stress softening

Indexed keywords


EID: 0036026449     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00022513     Document Type: Article
Times cited : (66)

References (21)
  • 1
    • 0001611158 scopus 로고
    • Effect of stretching on the properties of rubber
    • L. Mullins, Effect of stretching on the properties of rubber, J. Rubber Res., 16 (1947), 275-289.
    • (1947) J. Rubber Res. , vol.16 , pp. 275-289
    • Mullins, L.1
  • 2
    • 0000628543 scopus 로고
    • Theoretical model for the elastic behavior of filled-reinforced vulcanized rubbers
    • L. Mullins and N.R. Tobin, Theoretical model for the elastic behavior of filled-reinforced vulcanized rubbers, J. Rubber Chem. Tech., 30 (1957), 555-571.
    • (1957) J. Rubber Chem. Tech. , vol.30 , pp. 555-571
    • Mullins, L.1    Tobin, N.R.2
  • 3
    • 0002765508 scopus 로고
    • The Mullins effect in uniaxial extension and its influence on the transverse vibration of a rubber string
    • M.A. Johnson and M.F. Beatty, The Mullins effect in uniaxial extension and its influence on the transverse vibration of a rubber string, Cont. Mech. Therm., 5 (1993), 83-115.
    • (1993) Cont. Mech. Therm. , vol.5 , pp. 83-115
    • Johnson, M.A.1    Beatty, M.F.2
  • 4
    • 0029220121 scopus 로고
    • The Mullins effect in equibiaxial extension and its influence on the inflation of a balloon
    • M.A. Johnson and M.F. Beatty, The Mullins effect in equibiaxial extension and its influence on the inflation of a balloon, Int. J. Engng. Sci. 33 No.2 (1995), 223-245.
    • (1995) Int. J. Engng. Sci. , vol.33 , Issue.2 , pp. 223-245
    • Johnson, M.A.1    Beatty, M.F.2
  • 5
    • 0000581854 scopus 로고
    • A constitutive equation for the Mullins effect in stress controlled uniaxial extension experiments
    • M.A. Johnson and M.F. Beatty, A constitutive equation for the Mullins effect in stress controlled uniaxial extension experiments, Cont. Mech. Therm., 5 (1993), 301-318.
    • (1993) Cont. Mech. Therm. , vol.5 , pp. 301-318
    • Johnson, M.A.1    Beatty, M.F.2
  • 6
    • 0019569369 scopus 로고
    • Simple rate-independent model for damage
    • M.E. Gurtin and E.C. Francis, Simple rate-independent model for damage, J. Spacecraft 18(3) (1981), 285-286.
    • (1981) J. Spacecraft , vol.18 , Issue.3 , pp. 285-286
    • Gurtin, M.E.1    Francis, E.C.2
  • 7
    • 0033723548 scopus 로고    scopus 로고
    • A theory of stress-softening in incompressible isotropic materials
    • M.F. Beatty and S. Krishnaswamy, 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
  • 8
    • 0004867244 scopus 로고    scopus 로고
    • Stress-softening in combined triaxial stretch and simple shear of a block
    • Weierstrass Institute for Applied Analysis and Stochastics, Report 18, Ed. B. Albers, Berlin
    • M.F. Beatty, Stress-softening in combined triaxial stretch and simple shear of a block. In: Contributions to Continuum Mechanics, Anniversary Volume for Krzysztof Wilmanski, Weierstrass Institute for Applied Analysis and Stochastics, Report 18, Ed. B. Albers, Berlin, (2000) 25-36.
    • (2000) Contributions to Continuum Mechanics, Anniversary Volume for Krzysztof Wilmanski , pp. 25-36
    • Beatty, M.F.1
  • 10
    • 0034441734 scopus 로고    scopus 로고
    • The Mullins effect in a pure shear
    • M.F. Beatty, The Mullins effect in a pure shear, J. Elasticity 59 (2000), 369-392.
    • (2000) J. Elasticity , vol.59 , pp. 369-392
    • Beatty, M.F.1
  • 11
    • 0035334268 scopus 로고    scopus 로고
    • Damage induced stress-softening in the combined torsion, extension, and inflation of a cylindrical tube
    • S. Krishnaswamy and M.F. Beatty, Damage induced stress-softening in the combined torsion, extension, and inflation of a cylindrical tube. Quar. J. Mech. Appl. Math. 54 (2001), 295-327.
    • (2001) Quar. J. Mech. Appl. Math. , vol.54 , pp. 295-327
    • Krishnaswamy, S.1    Beatty, M.F.2
  • 12
    • 33746426645 scopus 로고    scopus 로고
    • A pseudo-elastic model for the Mullins effect in filled rubber
    • R.W. Ogden and D.G. Roxburgh, A pseudo-elastic model for the Mullins effect in filled rubber, Proc. R. Soc. Lond., A 455 (1999), 2861-2878.
    • (1999) Proc. R. Soc. Lond., A , vol.455 , pp. 2861-2878
    • Ogden, R.W.1    Roxburgh, D.G.2
  • 13
    • 0002200808 scopus 로고    scopus 로고
    • An energy-based model of the Mullins effect
    • Eds. A. Dorfmann & A. Muhr, A.A. Balkema, Rotterdam
    • R.W. Ogden and D.G. Roxburgh, An energy-based model of the Mullins effect, In: Constitutive Models for Rubber, Eds. A. Dorfmann & A. Muhr, A.A. Balkema, Rotterdam (1999), 23-28.
    • (1999) Constitutive Models for Rubber , pp. 23-28
    • Ogden, R.W.1    Roxburgh, D.G.2
  • 14
    • 0011661653 scopus 로고    scopus 로고
    • Aspects of stress softening in filled rubbers incorporating residual strains
    • Eds. A. Dorfmann & A. Muhr, A.A. Balkema, Rotterdam
    • G.A. Holzapfel, M. Stadler and R.W. Ogden, Aspects of stress softening in filled rubbers incorporating residual strains, In: Constitutive Models for Rubber, Eds. A. Dorfmann & A. Muhr, A.A. Balkema, Rotterdam (1999), 189-193.
    • (1999) Constitutive Models for Rubber , pp. 189-193
    • Holzapfel, G.A.1    Stadler, M.2    Ogden, R.W.3
  • 15
    • 0028516218 scopus 로고
    • A phenomenological three-dimensional rate independent continuum model for highly filled polymers: Formulation and computational aspects
    • E.A. De Souza Neto, D. Perić, and D.R.J. Owen, A phenomenological three-dimensional rate independent continuum model for highly filled polymers: formulation and computational aspects, J. Mech. Phys. Solids 42(10) (1994), 1533-1550.
    • (1994) J. Mech. Phys. Solids , vol.42 , Issue.10 , pp. 1533-1550
    • De Souza Neto, E.A.1    Perić, D.2    Owen, D.R.J.3
  • 16
    • 36849118054 scopus 로고
    • Theory of the elastic properties of rubber
    • H.M. James and E. Guth, Theory of the elastic properties of rubber, J. Chem. Phys., 10 (1943), 455-481.
    • (1943) J. Chem. Phys. , vol.10 , pp. 455-481
    • James, H.M.1    Guth, E.2
  • 17
    • 0041097550 scopus 로고
    • A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
    • E.M. Arruda and M.C. Boyce, A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials, 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
  • 20
    • 37049172859 scopus 로고
    • Stress-strain data for vulcanised rubber under various types of deformation
    • L.R.G. Treloar, Stress-strain data for vulcanised rubber under various types of deformation, Trans. Faraday Soc., 40 (1944), 59-70.
    • (1944) Trans. Faraday Soc. , vol.40 , pp. 59-70
    • Treloar, L.R.G.1
  • 21
    • 0001555574 scopus 로고
    • Statistical theory of networks of non-Gaussian fiexible chains
    • M.C. Wang and E. Guth, Statistical theory of networks of non-Gaussian fiexible chains, J. Chem. Phys., 20 (1952), 1144-1157.
    • (1952) J. Chem. Phys. , vol.20 , pp. 1144-1157
    • Wang, M.C.1    Guth, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.