Finite Element Based Micro-mechanical Modeling of Interphase in Filler Reinforced Elastomers

References

• Huber, G., and Vilgis, T. A. (1999) Universal properties of filled rubbers: Mechanisms for reinforcement on different length scales. Kautschuk Gummi Kunststoffe. 52:102–107.
   Web of Science ®Google Scholar
• Berriot, J., Montes, H., Lequeux, F., Long, D., and Sotta, P. (2002) Evidence for the shift of the glass transition near the particles in silica-filled elastomers. Macromolecules, 35:9756–9762.
   Web of Science ®Google Scholar
• Klüppel, M. (2003) The role of disorder in filler reinforcement of elastomers on various length scales. Chem. Mater. Sci., 164:1–86.
   Google Scholar
• Vilgis, T., Heinrich, G., and Klüppel, M. (2009) Reinforcement of Polymer Nano-Composites: Theory, Experiments and Applications. Cambridge University Press: New York, USA.
   Google Scholar
• Payne, A. R., and Kraus, G. (1965) Reinforcement of elastomers. Interscience: New York, p. 69.
   Google Scholar
• Mullins, L. (1969) Softening of rubber by deformation. Rubber Chem. Technol., 42(1):339–362.
   Google Scholar
• Govindjee, S., and Simo, J. (1991) A micro-mechanically based continuum damage model for carbon black-filled rubbers incorporating Mullins’ effect. J. Mechan. Physic. Solid., 39:87–112.
   Web of Science ®Google Scholar
• Marckmann, G., Verron, E., Gornet, L., Chagnon, G., Charrier, P., and Fort, P. (2002) A theory of network alteration for the Mullins effect. J. Mechan. Physic. Solid., 50(9):2011–2028.
   Web of Science ®Google Scholar
• Arruda, E. M., and Boyce, M. C. (1993) A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. J. Mechan. Physic. Solid., 41(2):389–412.
   Web of Science ®Google Scholar
• Göktepe, S., and Miehe, C. (2005) A micro-macro approach to rubber-like materials. Part iii: The micro-sphere model of anisotropic Mullins-type damage. J. Mechan. Physic. Solid., 53:2259–2283.
   Web of Science ®Google Scholar
• Lorenz, H., Freund, M., Juhre, D., Ihlemann, J., and Klüppel, M. (2011) Constitutive generalization of a microstructure-based model for filled elastomers. Macromol. Theory Simul., 20(2):110–123.
   Web of Science ®Google Scholar
• Diani, J., Fayolle, B., and Gilormini, P. (2009) A review on the mullins effect. Eur. Polymer J., 45(3):601–612.
   Web of Science ®Google Scholar
• Schmoller, K. M., and Bausch, A. R. (2013) Similar nonlinear mechanical responses in hard and soft materials. Nat. Mater., 12(4):278–281.
   PubMed Web of Science ®Google Scholar
• Gusev, A. A. (2006) Micromechanical mechanism of reinforcement and losses in filled rubbers. Macromolecules, 39:5960–5962.
   Web of Science ®Google Scholar
• Gusev, A. A., and Lurie, S. A. (2009) Loss amplification effect in multiphase materials with viscoelastic interfaces. Macromolecules, 42:5372–5377.
   Web of Science ®Google Scholar
• Leblanc, J. L. (2000) Elastomer filler interactions and the rheology of filled rubber compounds. J. Appl. Polymer Sci., 78(8):1541–1550.
   Web of Science ®Google Scholar
• Böl, M., and Reese, S. (2006) Finite element modelling of rubber-like polymers based on chain statistics. Int. J. Solid. Struct., 43:2–26.
   Web of Science ®Google Scholar
• Edwards, S. F., and Vilgis, T. A. (1988) The tube model theory of rubber elasticity. Rpts. Progress Physic., 51(2):243.
   Web of Science ®Google Scholar
• Merabia, S., Sotta, P., and Long, D. (2008) A microscopic model for the reinforcement and the nonlinear behavior of filled elastomers and thermoplastic elastomers (payne and mullins effects). Macromolecules, 41:8252–8266.
   Web of Science ®Google Scholar
• Reese, S., and Wriggers, P. (1997) A material model for rubber-like polymers exhibiting plastic deformation: computational aspects and a comparison with experimental results. Comp. Method. Appl. Mech. Eng., 148:279–298.
   Web of Science ®Google Scholar
• Dettmer, W., and Reese, S. (2004) On the theoretical and numerical modelling of armstrong-frederick kinematic hardening in the finite strain regime. Comp. Method. Appl. Mech. Eng., 193:87–116.
   Web of Science ®Google Scholar
• Vladimirov, I. N., Pietryga, M. P., and Reese, S. (2008) On the modelling of non-linear kinematic hardening at finite strains with application to springback-comparison of time integration algorithms. Int. J. Numer. Method. Eng., 75(1):1–28.
   Web of Science ®Google Scholar
• Vladimirov, I., Pietryga, M., and Reese, S. (2009) Prediction of springback in sheet forming by a new finite strain model with nonlinear kinematic and isotropic hardening. J. Mater. Process. Technol., 209(8):4062–4075.
   Web of Science ®Google Scholar
• Boyce, M. C., Parks, D. M., and Argon, A. S. (1988) Large inelastic deformation of glassy polymers. part i: rate dependent constitutive model. Mechan. Mater., 7(1):15–33.
   Web of Science ®Google Scholar