Analysis of the isotropic models of the Mullins effect based on filled silicone rubber experimental results

Mechanics of Materials

Volumn 42, Issue 9, 2010, Pages 841-851

  MacHado, G ^a   Chagnon, G ^a   Favier, D ^a  

^a UNIV GRENOBLE ALPES   (France)

Author keywords

Deformation criteria; Filled silicone rubber; Hyperelasticity; Mullins effect; Stress softening

Indexed keywords

DEFORMATION; ELASTICITY; ELASTOMERS; ENERGY DISSIPATION; FILLED POLYMERS; RUBBER; SILICONES; STRAIN; STRAIN ENERGY; TENSILE TESTING;

DEFORMATION CRITERIA; FILLED SILICONE RUBBERS; HYPER-ELASTICITY; MULLINS EFFECT; STRESS SOFTENING;

STRESS ANALYSIS;

EID: 77956188266     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2010.07.001     Document Type: Article

References (31)

1. M.F. Beatty, and S. Krishnaswamy A theory of stress-softening in incompressible isotropic materials J. Mech. Phys. Solids 48 2000 1931 1965
2. J.S. Bergstrom, and M.C. Boyce Large strain time-dependant behavior of filled elastomers Mech. Mater. 32 2000 627 644
3. G. Chagnon, E. Verron, L. Gornet, G. Marckmann, and P. Charrier On the relevance of continuum damage mechanics as applied to the Mullins effect in elastomers J. Mech. Phys. Solids 52 2004 1627 1650
4. G. Chagnon, E. Verron, G. Marckmann, and L. Gornet Development of new constitutive equations for Mullins effect in rubber using the network alteration theory Int. J. Solids Struct. 43 2006 6817 6831
5. E.A. DeSouza Neto, Peric Djordje, and D.R.J. Owen A phenomenological three-dimensional rate independent continuum damage model for highly filled polymers: formulation and computational aspects J. Mech. Phys. Solids 42 10 1994 1533 1550
6. J. Diani, M. Brieu, and P. Gilormini Observation and modeling of the anisotropic visco-hyperelastic behavior of a rubberlike material Int. J. Solids Struct. 43 2006 3044 3056
7. J. Diani, B. Fayolle, and P. Gilormini A review on the Mullins effect Eur. Polym. J. 45 2009 601 612
8. A. Dorfmann, and R.W. Ogden A constitutive model for the Mullins effect with permanent set in particle-reinforced rubber Int. J. Solids Struct. 41 2004 1855 1878
9. A.E. Ehret, and M. Itskov Modeling of anisotropic softening phenomena: application to soft biological tissues Int. J. Plasticity 25 2009 901 919
10. M.E. Gurtin, and E.C. Francis Simple rate-independent model for damage J. Spacecraft 18 3 1981 285 286
11. C.O. Horgan, R.W. Ogden, and G. Saccomandi A theory of stress softening of elastomers based on finite chain extensibility Proc. R. Soc. Lond. Ser. A 460 2004 1737 1754
12. M.A. Johnson, and M.F. Beatty The Mullins effect in uniaxial extension and its influence on transverse vibration of rubber string Continuum Mech. Thermodyn. 5 1993 83 115
13. R. Kazakeviciute-Makovska Experimentally determined properties of softening functions in pseudo-elastic models of the Mullins effect Int. J. Solids Struct. 44 2007 4145 4157
14. S. Krishnaswamy, and M.F. Beatty The Mullins effet in compressible solids Int. J. Eng. Sci. 38 2000 1397 1414
15. L. Laiarinandrasana, R. Piques, and A. Robisson Visco-hyperelastic model with internal state variable coupled with discontinuous damage concept under total lagrangian formulation Int. J. Plasticity 19 2003 977 1000
16. F. Laraba-Abbes, P. Ienny, and R. Piques A new tailor-made methodology for the mechanical behaviour analysis of rubber-like materials: II. Application to the hyperelastic behaviour characterization of a carbon-black filled natural rubber vulcanizate Polymer 44 3 2003 821 840
17. A. Lion A constitutive model for carbon black filled rubber: experimental investigations and mathematical representation Continuum Mech. Thermodyn. 8 1996 153 169
18. G. Marckmann, E. Verron, L. Gornet, G. Chagnon, and P.C.P. Fort A theory of network alteration for the Mullins effect J. Mech. Phys. Solids 50 2002 2011 2028
19. L. Meunier, G. Chagnon, D. Favier, L. Orgéas, and P. Vacher Mechanical experimental characterisation and numerical modelling of an unfilled silicone rubber Polym. Test. 27 2008 765 777
20. C. Miehe Discontinuous and continuous damage evolution in Ogden type large strain elastic materials Eur. J. Mech. A/Solids 14 5 1995 697 720
21. C. Miehe, and S. Göktepe A micro-macro approach to rubber-like materials. Part III: the micro-sphere model anisotropic Mullins-type damage J. Mech. Phys. Solids 53 2005 2259 2283
22. 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
23. L. Mullins Softening of rubber by deformation Rubber Chem. Technol. 42 1969 339 362
24. R.W. Ogden, and D.G. Roxburgh A pseudo-elastic model for the Mullins effect in filled rubber Proc. R. Soc. Lond. Ser. A 455 1999 2861 2877
25. H.J. Qi, and M.C. Boyce Constitutive model for stretch-induced softening of the stress-stretch behavior of elastomeric materials J. Mech. Phys. Solids 52 2004 2187 2205
26. M. Sasso, G. Palmieri, G. Chiappini, and D. Amodio Characterization of hyperelastic rubber-like materials by biaxial and uniaxial stretching tests based on optical methods Polym. Test. 27 2008 995 1004
27. E.G. Septanika, and L.J. Ernst Application of the network alteration theory for modeling the time dependent constitutive behavior of rubber. Part I - general theory Mech. Mater. 30 1998 253 263
28. J.C. Simo On a fully three-dimensional finite-strain viscoelastic damage model: formulation and computational aspects Comput. Meth. Appl. Mech. Eng. 60 1987 153 173
29. Sutton, M.A., 2008. Digital image correlation for shape and deformation measurements. In: Springer Handbook of Experimental Solid Mechanics - Part C, pp. 565-600.
30. A.E. Zuñiga A phenomenological energy-based model to characterize stress-softening effect in elastomers Polymer 46 2005 3496 3506
31. A.E. Zuñiga, and M.F. Beatty A new phenomenological model for stress-softening in elastomers Z. Angew. Math. Phys. 53 2002 794 814