Silica Masterbatches Produced with Liquid Phase Mixing; Part III. Quasi-Static Stress-Softening

References

• Roland, R., F.R. Rubber Compound and Tires Based on Such a Compound. E. Patent 0,501,227 A1, 1992; Roland, R., F.R. Copolymer Rubber Composition with Silica Filler, Tires Having a Base of Said Composition and Method of Preparing Same. U.S. Patent 5,227,425, 1993.
   Google Scholar
• Wang, M.-J.; U. S.; Song, J. J.; C. N.; Dai, D. Y.; C. N. Continuous Manufacturing Process for Rubber Masterbatch and Rubber Masterbatch Prepared Therefrom. U.S. Patent 9,758,627 B2, 2017.
   Google Scholar
• Wang, M.-J.; U. S.; Song, J. J.; C. N.; Dai, D. Y.; C. N. Continuous Manufacturing Process for Rubber Masterbatch and Rubber Masterbatch Prepared Therefrom. E. Patent 3,031,591 A1, 2015.
   Google Scholar
• Wang, M.-J. 2016 Liquid Phase Mixing. Tire Technology Conference, Hannover, Germany.
   Google Scholar
• Heeps, G. Liquid Gold, Tire Tech. Inter., 2016, March, 20–23. www.ukimediaevents.com/publication/34a41062/6.
   Google Scholar
• Mullins, L. Effect of Stretching on the Properties of Rubber. Rubber Chem. Technol. 1948, 21, 281–300. DOI: 10.5254/1.3546914.
   Google Scholar
• Mullins, L. The Thixotropic Behavior of Carbon Black in Rubber. J. Phys. Chem. 1950, 54, 239–251. DOI: 10.1021/j150476a006.
   Web of Science ®Google Scholar
• Harwood, J. A. C.; Payne, A. R.; Whittaker, R. E. Stress-Softening and Reinforcement of Rubber. J. Macromol. Sci., Part B, Phys. 1971, 5, 473–486. DOI: 10.1080/00222347108212551.
   Web of Science ®Google Scholar
• Johnson, M. A.; Beatty, M. F. The Mullins Effect in Equibiaxial Extension and its Influence on the Inflation of a Balloon, Int. J. Eng. Sci., 1995, 33, 223–245. DOI: 10.1016/0020-7225(94)e0052-k.
   Web of Science ®Google Scholar
• Dargazany, R.; Itskov, M. Constitutive modeling of the Mullins Effect and Cyclic Stress Softening in Filled Elastomers, Phys. Rev. E., 2013, 88, 012602. DOI: 10.1103/PhysRevE.88.012602.
   Web of Science ®Google Scholar
• Palmieri, G.; Sasso, M.; Chiappini, G.; Amodio, D. Mullins Effect Characterization of Elastomers by Multi-Axial Cyclic Tests and Optical Experimental Methods. Mech. Mater., 2009, 41, 1059–1067. DOI: 10.1016/j.mechmat.2009.05.002.
   Web of Science ®Google Scholar
• Chai, A. B.; Verron, E.; Andriyana, A.; Johan, M.R. Mullins Effect in Swollen Rubber: Experimental Investigation and Constitutive Modelling. Poly. Test., 2013, 32, 748–759. DOI: 10.1016/j.polymertesting.2013.03.006.
   Web of Science ®Google Scholar
• Chen, Y.; Xu, C. Stress-Strain Behaviors and Crosslinked Networks Studies of Natural Rubber-Zinc Dimethacrylate Composites. J. Macromol. Sci., Part B, Phys., 2012, 51, 1384–1400. DOI: 10.1080/00222348.2011.629904.
   Web of Science ®Google Scholar
• Rickaby, S. R.; Scott, N. H. Cyclic Stress-Softening Model for the Mullins Effect in Compression. Int. J. Non-Lin. Mech. 2013, 49, 152–158. DOI: 10.1016/j.ijnonlinmec.2012.10.005.
   Web of Science ®Google Scholar
• Dannenberg, E. M. The Effects of Surface Chemical Interactions on the Properties of Filler-Reinforced Rubbers. Rubber Chem. Technol. 1975, 48, 410–444. DOI: 10.5254/1.3547460.
   Google Scholar
• Bueche, F. Molecular Basis for the Mullins Effect. J. Appl. Polym. Sci. 1960, 4, 107–114. DOI: 10.1002/app.1960.070041017.
   Google Scholar
• Marckmann, G.; Verron, E.; Gornet, L.; Chagnon, G.; Charrier, P.; Fort, P. A Theory of Network Alteration for the Mullins Effect. J. Mech. Phys. Solids. 2002, 50, 2011–2028. DOI: 10.1016/S0022-5096(01)00136-3.
   Web of Science ®Google Scholar
• Diani, J.; Brieu, M.; Vacherand, J. M. A Damage Directional Constitutive Model for Mullins Effect with Permanent Set and Induced Anisotropy. Eur. J. Mech. A, Solids. 2006, 25, 483–496. DOI: 10.1016/j.euromechsol.2005.09.011.
   Web of Science ®Google Scholar
• Fukahori, Y. New Progress in the Theory and Model of Carbon Black Reinforcement of Elastomers. J. Appl. Polym. Sci. 2005, 95, 60–67. DOI: 10.1002/app.20802.
   Web of Science ®Google Scholar
• Diaz, R.; Diani, J.; Gilormini, P. Physical Interpretation of the Mullins Softening in a Carbon-Black Filled SBR. Polymer. 2014, 55, 4942–4947. DOI: 10.1016/j.polymer.2014.08.020.
   Web of Science ®Google Scholar
• Kaewsakul, W.; Sahakaro, K.; Dierkes, W. K.; Noordermeer, J. W. M. Optimization of Mixing Conditions for Silica-Reinforced Natural Rubber Tire Tread Compounds. Rubber Chem. Technol. 2012, 85, 277–294. DOI: 10.5254/rct.12.88935.
   Web of Science ®Google Scholar
• Reuvekamp, L. A. E. M.; Brinke, J. W. T.; Swaaij, P. J. V.; Noordermeer, J. W. M. Effects of Mixing Conditions Reaction of TESPT Silane Coupling Agent during Mixing with Silica Filler and Tire Rubber. Rubber Chem. Technol. 2002, 75, 187–198. DOI: 10.5254/1.3544972.
   Web of Science ®Google Scholar
• Wang, M.; Qingdao, J.; Morris, M. Chapter 9, Rubber Reinforcement with Particulate Fillers, Smith, M. (editor), Hanser Publishers, Munich, 2021.
   Google Scholar
• Wang, M.-J.; Song, J. J.; Wang, Z.; Liu, K.; Zhang, H. X.; Zhang, X. B.; Jia, W. J. Silica-Filled Masterbatches Produced with Liquid Phase Mixing Part I. Characterization. Kautsch. Gummi Kunstst 2020, 9, 45–55. https://www.kgk-rubberpoint.de/wp-content/uploads/2020/09/KGK_2020_09__45.pdf.
   Google Scholar
• Charrier, J. M.; Gent, A. N. in Interactions Entre Les Élastomeres et Les Surface Solides Ayant Une Action Renforçant, P. 205 Colloques Internationaux du CNRS, Paris, 1975.
   Google Scholar
• Harwood, J. A. C.; Payne, A. R. Stress Softening in Natural Rubber Vulcanizates. Part V. The Anomalous Tensile Behavior of Natural Rubber. J. Appl. Polym. Sci. 1967, 11, 1825–1834. DOI: 10.1002/app.1967.070111001.
   Web of Science ®Google Scholar
• Wang, M.-J.; Wolff, S. Filler-Elastomer Interactions. Part V. Investigation of the Surface Energies of Silane-Modified Silicas. Rubber Chem. Technol. 1992, 65, 715–735. DOI: 10.5254/1.3538637.
   Web of Science ®Google Scholar
• Zhang, H.; Zheng, S.; Zheng, L.; Wang, M.-J. Silica Masterbatches Produced with Liquid Phase Mixing Part IV. Volume Variation and SEM Observations upon Stretching. Polym. Eng. Sci. 2021, 61, 1368–1378. DOI: 10.1002/pen.25650.
   Web of Science ®Google Scholar
• Xie, M.; He, F.; Yi, L.; Wang, M. 2019 Silica Masterbatches Produced with Liquid Phase Mixing Part II. Dynamic Stress-Softening Effect. Presented at the Fall 2019, 196th Technical Meeting of the Rubber Division, ACS, Cleveland, OH, October 8–10.
   Google Scholar
• Wolff, S.; Wang, M.-J. Filler-Elastomer Interactions. Part IV. The Effect of the Surface Energies of Fillers on Elastomer Reinforcement. Rubber Chem. Technol. 1992, 65, 329–342. DOI: 10.5254/1.3538615.
   Web of Science ®Google Scholar