Modeling of Tensile Modulus for Recycled PET/Clay Nanocomposites
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Abstract
The present study is devoted to tensile modulus of recycle PET/clay nanocomposites based on the various conventional models. Some models such as Paul and Takayanagi provide good results, when compared with the experimental data. Hirsch model predicts more accurate data by the x value of 0.1 revealing that the tensile modulus of current nanocomposites conforms to the inverse rule of mixture model. The comparison between experimental and theoretical results of Guth models confirm the necessity for taking account of stiffening factors such as aspect ratio of silicate layers. The theoretical data present a good agreement with experimental data considering the aspect ratio of 8 for silicate layers. In addition, the orientation and 3D random dispersion of the nanoclay platelets should be assumed according to Halpin–Tsai model. Further, some simplifications and modifications are carried out on the several models to enhance their predictability. The modified models are too simple, because they only require to Young’s modulus and volume fraction of components for prediction.
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Research context
OpenAlex topics: Polymer Nanocomposites and Properties · Polymer crystallization and properties · Dielectric materials and actuators
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References (58)
Show source-provided references
1. Mitchell, S. and O’Brien, S., Asymptotic, Numerical and Approximate Techniques for a Free Boundary Problem Arising in the Diffusion of Glassy Polymers, Appl. Math. Comput., 2012, vol. 219, no. 1, pp. 376–388.
2. http://en.wikipedia.org/wiki/Plastic_recycling
3. Paci, M. and La Mantia, F., Competition between Degradation and Chain Extension during Processing of Reclaimed Poly (Ethylene Terephthalate), Polym. Degr. Stability, 1998, vol. 61, pp. 417–420.10.1016/S0141-3910(97)00227-9 ↗
4. Spinace, M. and De Paoli, M., Characterization of Poly (Ethylene Terephtalate) after Multiple Processing Cycles, J. Appl. Polym. Sci., 2001, vol. 80, pp. 20–25.10.1002/1097-4628(20010404)80:1<20::AID-APP1069>3.0.CO;2-S ↗
5. Farahmand, F., Shokrollahi, P., and Mehrabzadeh, M., Recycling of Commingled Plastics Waste Containing Polyvinylchloride, Polypropylene, Polyethylene and Paper, Iran. Polym. J., 2003, vol. 12, pp. 185–190.
6. Nikje, M.M.A., Haghshenas, M., and Garmarudi, A.B., Preparation and Application of Glycolysed Polyurethane Integral Skin Foams Recyclate from Automotive Wastes, Polym. Bullet., 2006, vol. 56, pp. 257–265.10.1007/s00289-005-0470-6 ↗
7. Vakili, M. and Fard, M.H., Chemical Recycling of Poly Ethylene Terephthalate Wastes, World Appl. Sci. J., 2010, vol. 8, pp. 839–846.
8. Argon, A. and Cohen, R., Toughenability of Polymers, Polymer., 2003, vol. 44, pp. 6013–6032.10.1016/S0032-3861(03)00546-9 ↗
9. Elloumi, A., Pimbert, S., Bourmaud, A., and Bradai, C., Thermomechanical Properties of Virgin and Recycled Polypropylene Impact Copolymer/CaCO3 Nanocomposites, Polym. Eng. Sci., 2010, vol. 50, pp. 1904–1913.10.1002/pen.21716 ↗
10. Panin, V.E., Surikova, N.S., Panin, S.V., Shugurov, A.R., and Vlasov, I.V., Effect of Nanoscale Mesoscopic Structural States Associated with Lattice Curvature on the Mechanical Behavior of Fe–Cr–Mn Austenitic Steel, Phys. Mesomech., 2019, vol. 22, no. 5, pp. 382–391. https://doi.org/10.1134/S102995991905005910.1134/S1029959919050059 ↗
11. Bochkarev, A.O. and Grekov, M.A., Influence of Surface Stresses on the Nanoplate Stiffness and Stability in the Kirsch Problem, Phys. Mesomech., 2019, vol. 22, no. 3, pp. 209–223. https://doi.org/10.1134/S102995991903006810.1134/S1029959919030068 ↗
12. Cherepanov, G.P., Theory of Superplasticity and Fatigue of Polycrystalline Materials Based on Nanomechanics of Fracturing and Failure, Phys. Mesomech., 2019, vol. 22, no. 1, pp. 52–64. https://doi.org/10.1134/S102995991901009010.1134/S1029959919010090 ↗
13. Bharadiya, P.S., Singh, M.K., and Mishra, S., Influence of Graphene Oxide on Mechanical and Hydrophilic Properties of Epoxy/Banana Fiber Composites, JOM, 2019, vol. 71, pp. 838–843.10.1007/s11837-018-3239-8 ↗
14. Zare, Y. and Rhee, K.Y., A Simulation Work for the Influences of Aggregation/Agglomeration of Clay Layers on the Tensile Properties of Nanocomposites, JOM, 2019, pp. 3989–3995.10.1007/s11837-019-03768-2 ↗
15. Panin, V.E., Surikova, N.S., Smirnova, A.S., and Pochivalov, Yu.I., Mesoscopic Structural States in Plastically Deformed Nanostructured Metal Materials, Phys. Mesomech., 2018, vol. 21, no. 5, pp. 396–400. https://doi.org/10.1134/S102995991805003X10.1134/S102995991805003X ↗
16. Golovnev, I.F. and Golovneva, E.I., Numerical Study of the Kinetic Aspects of Fracture of Metal Nanocrystals, Phys. Mesomech., 2019, vol. 22, no. 3, pp. 195–202. https://doi.org/10.1134/S102995991903004410.1134/S1029959919030044 ↗
17. Korotaev, A.D., Litovchenko, I.Yu., and Ovchinnikov, S.V., Structural-Phase State, Elastic Stress, and Functional Properties of Nanocomposite Coatings Based on Amorphous Carbon, Phys. Mesomech., 2019, vol. 22, no. 6, pp. 488–495. https://doi.org/10.1134/S102995991906005510.1134/S1029959919060055 ↗
18. Van der Wal, A. and Gaymans, R., Polypropylene–Rubber Blends: 5. Deformation Mechanism during Fracture, Polymer, 1999, vol. 40, pp. 6067–6075.10.1016/S0032-3861(99)00216-5 ↗
19. Bizarria, M., Giraldi, A.L.F.M., de Carvalho, C.M., Velasco, J.I., d'Ávila, M.A., and Mei, L.H.I., Morphology and Thermomechanical Properties of Recycled PET–Organoclay Nanocomposites, J. Appl. Polymer Sci., 2007, vol. 104, pp. 1839–1844.10.1002/app.25836 ↗
20. Zare, Y. and Rhee, K., A Core–Shell Structure for Interphase Regions Surrounding Nanoparticles to Predict the Shear, Bulk and Young’s Polymer Moduli of Particulate Nanocomposites, Phys. Mesomech., 2020, vol. 23, no. 1, pp. 89–96. https://doi.org/10.1134/S102995992001009910.1134/S1029959920010099 ↗
21. Zare, Y. and Rhee, K.Y., Evaluation and Development of Expanded Equations Based on Takayanagi Model for Tensile Modulus of Polymer Nanocomposites Assuming the Formation of Percolating Networks, Phys. Mesomech., 2018, vol. 21, no. 4, pp. 351–357.10.1134/S1029959918040094 ↗
22. Zare, Y. and Rhee, K.Y., A Modeling Approach for Young’s Modulus of Interphase Layers in Polymer Nanocomposites, Phys. Mesomech., 2020, vol. 23, no. 2, pp. 176–181. https://doi.org/10.1134/S102995992002009510.1134/S1029959920020095 ↗
23. Zare, Y., Rhee, K., and Park, S.-J., Simple Models for Interphase Characteristics in Polypropylene/Montmorillonite/CaCO3 Nanocomposites, Phys. Mesomech., 2020, vol. 23, no. 2, pp. 182–188. https://doi.org/10.1134/S102995992002010110.1134/S1029959920020101 ↗
24. Sisakht Mohsen, R., Saied, N.K., Ali, Z., Hosein, E.M., and Hasan, P., Theoretical and Experimental Determination of Tensile Properties of Nanosized and Micron-sized CaCO3/PA66 Composites, Polymer Compos., 2009, vol. 30, pp. 274–280.10.1002/pc.20602 ↗
25. Broutman, L.J. and Krock, R.H., Modern Composite Materials, Reading, Mass.: Addison-Wesley, 1967.
26. Haghighat, M., Zadhoush, A., and Khorasani, S.N., Physicomechanical Properties of α-Cellulose-Filled Styrene–Butadiene Rubber Composites, J. Appl. Polymer Sci., 2005, vol. 96, pp. 2203–2211.10.1002/app.21691 ↗
27. Guth, E., Theory of Filler Reinforcement, J. Appl. Phys., 1945, vol. 16, pp. 20–25.10.1063/1.1707495 ↗
28. Guth, E. and Gold, O., On the Hydrodynamical Theory of the Viscosity of Suspensions, Phys. Rev., 1938, vol. 53, p. 2.
29. Wu, Y.P., Jia, Q.X., Yu, D.S., and Zhang, L.Q., Modeling Young’s Modulus of Rubber–Clay Nanocomposites Using Composite Theories, Polymer Test., 2004, vol. 23, pp. 903–909.10.1016/j.polymertesting.2004.05.004 ↗
30. Ahmed, S. and Jones, F., A Review of Particulate Reinforcement Theories for Polymer Composites, J. Mater. Sci., 1990, vol. 25, pp. 4933–4942.10.1007/BF00580110 ↗
31. Nuñez, A.J., Sturm, P.C., Kenny, J.M., Aranguren, M., Marcovich, N.E., and Reboredo, M.M., Mechanical Characterization of Polypropylene–Wood Flour Composites, J. Appl. Polymer Sci., 2003, vol. 88, pp. 1420–1428.10.1002/app.11738 ↗
32. Kalaprasad, G., Joseph, K., Thomas, S., and Pavithran, C., Theoretical Modelling of Tensile Properties of Short Sisal Fibre-Reinforced Low-Density Polyethylene Composites, J. Mater. Sci., 1997, vol. 32, pp. 4261–4267.10.1023/A:1018651218515 ↗
33. Borse, N.K. and Kamal, M.R., Melt Processing Effects on the Structure and Mechanical Properties of PA-6/Clay Nanocomposites, Polymer Eng. Sci., 2006, vol. 46, pp. 1094–1103.10.1002/pen.20578 ↗
34. Dong, Y. and Bhattacharyya, D., Mapping the Real Micro/Nanostructures for the Prediction of Elastic Moduli of Polypropylene/Clay Nanocomposites, Polymer, 2010, vol. 51, pp. 816–824.10.1016/j.polymer.2009.12.028 ↗
35. Grunlan, J.C., Kim, Y.S., Ziaee, S., Wei, X., Abdel-Magid, B., and Tao, K., Thermal and Mechanical Behavior of Carbon-Nanotube-Filled Latex, Macromolecular Mater. Eng., 2006, vol. 291, pp. 1035–1043.10.1002/mame.200600191 ↗
36. Affdl, J. and Kardos, J., The Halpin–Tsai Equations: A Review, Polymer Eng. Sci., 1976, vol. 16, pp. 344–352.10.1002/pen.760160512 ↗
37. Putz, K.W., Mitchell, C.A., Krishnamoorti, R., and Green, P.F., Elastic Modulus of Single-Walled Carbon Nanotube/Poly (Methyl Methacrylate) Nanocomposites, J. Polymer Sci. B. Polymer Phys., 2004, vol. 42, pp. 2286–2293.10.1002/polb.20073 ↗
38. Bilotti, E., Zhang, R., Deng, H., Quero, F., Fischer, H., and Peijs, T., Sepiolite Needle-Like Clay for PA6 Nanocomposites: An Alternative to Layered Silicates?, Compos. Sci. Technol., 2009, vol. 69, pp. 2587–2595.10.1016/j.compscitech.2009.07.016 ↗
39. Wong, E.W., Sheehan, P.E., and Lieber, C.M., Nanobeam Mechanics: Elasticity, Strength, and Toughness of Nanorods and Nanotubes, Science, 1997, vol. 277, p. 1971.10.1126/science.277.5334.1971 ↗
40. Nielsen, L.E. and Landel, R.F., Mechanical Properties of Polymers and Composites, New York: CRC Press, 1994.
41. Nielsen, L.E., Morphology and the Elastic Modulus of Block Polymers and Polyblends, Rheolog. Acta, 1974, vol. 13, pp. 86–92.10.1007/BF01526889 ↗
42. Lewis, T. and Nielsen, L., Dynamic Mechanical Properties of Particulate-Filled Composites, J. Appl. Polymer Sci., 1970, vol. 14, pp. 1449–1471.10.1002/app.1970.070140604 ↗
43. Kerner, E., The Elastic and Thermo-Elastic Properties of Composite Media, Proc. Phys. Soc. B, 1956, vol. 69, p. 808.10.1088/0370-1301/69/8/305 ↗
44. Bliznakov, E.D., White, C.C., and Shaw, M.T., Mechanical Properties of Blends of HDPE and Recycled Urea-Formaldehyde Resin, J. Appl. Polymer Sci., 2000, vol. 77, pp. 3220–3227.10.1002/1097-4628(20000929)77:14<3220::AID-APP250>3.0.CO;2-4 ↗
45. Albano, C., Perera, R., Catano, L., Karam, A., and Gonzalez, G., Prediction of Mechanical Properties of Composites of HDPE/HA/EAA, J. Mech. Behavior Biomed. Mater., 2011, vol. 4(3), pp. 467–475.10.1016/j.jmbbm.2010.12.008 ↗
46. Hui, C. and Shia, D., Simple Formulae for the Effective Moduli of Unidirectional Aligned Composites, Polymer Eng. Sci., 1998, vol. 38, pp. 774–782.10.1002/pen.10243 ↗
47. Shia, D., Hui, C., Burnside, S., and Giannelis, E., An Interface Model for the Prediction of Young’s Modulus of Layered Silicate–Elastomer Nanocomposites, Polymer Compos., 1998, vol. 19, pp. 608–617.10.1002/pc.10134 ↗
48. Ji, X.L., Jing, J.K., Jiang, W., and Jiang, B.Z., Tensile Modulus of Polymer Nanocomposites, Polymer Eng. Sci., 2002, vol. 42, pp. 983–993.10.1002/pen.11007 ↗
49. Cauvin, L., Kondo, D., Brieu, M., Bhatnagar, N., Mechanical Properties of Polypropylene Layered Silicate Nanocomposites: Characterization and Micro-Macro Modelling, Polymer Test., 2010, vol. 29, pp. 245–250.10.1016/j.polymertesting.2009.11.007 ↗
50. Pegoretti, A., Kolarik, J., Peroni, C., and Migliaresi, C., Recycled Poly (Ethylene Terephthalate)/Layered Silicate Nanocomposites: Morphology and Tensile Mechanical Properties, Polymer, 2004, vol. 45, pp. 2751–2759.10.1016/j.polymer.2004.02.015 ↗
51. Zare, Y. and Garmabi, H., Analysis of Tensile Modulus of PP/Nanoclay/CaCO3 Ternary Nanocomposite Using Composite Theories, J. Appl. Polymer Sci., 2012, vol. 123, pp. 2309–2319.10.1002/app.34741 ↗
52. Aït Hocine, N., Médéric, P., and Aubry, T., Mechanical Properties of Polyamide-12 Layered Silicate Nanocomposites and Their Relations with Structure, Polymer Test., 2008, vol. 27, pp. 330–339.10.1016/j.polymertesting.2007.12.002 ↗
53. Kalaitzidou, K., Fukushima, H., Miyagawa, H., Drzal, L.T., Flexural and Tensile Moduli of Polypropylene Nanocomposites and Comparison of Experimental Data to Halpin–Tsai and Tandon–Weng Models, Polymer Eng. Sci., 2007, vol. 47, pp. 1796–1803.10.1002/pen.20879 ↗
54. Hedayati, A. and Arefazar, A., Study on Dispersion and Intercalation of Organoclay in PP and PP-g-MA Matrices, Polymer Compos., 2009, vol. 30, pp. 1717–1731.10.1002/pc.20792 ↗
55. Mirmohseni, A. and Zavareh, S., Epoxy/Acrylonitrile-Butadiene-Styrene Copolymer/Clay Ternary Nanocomposite as Impact Toughened Epoxy, J. Polymer Res., 2010, vol. 17, pp. 191–201.10.1007/s10965-009-9305-8 ↗
56. Ahmadi, S.J., Yudong, H., and Li, W., Synthesis of EPDM/Organoclay Nanocomposites: Effect of the Clay Exfoliation on Structure and Physical Properties, Iran. Polymer J., 2004, vol. 13, pp. 415–422.
57. Mirzataheri, M., Mahdavian, A.R., and Atai, M., Nanocomposite Particles with Core-Shell Morphology IV: An Efficient Approach to the Encapsulation of Cloisite 30B by Poly (Styrene-co-Butyl Acrylate) and Preparation of Its Nanocomposite Latex via Miniemulsion Polymerization, Colloid Polymer Sci., 2009, vol. 287, pp. 725–732.10.1007/s00396-009-2020-5 ↗
58. Dayma, N. and Satapathy, B.K., Morphological Interpretations and Micromechanical Properties of Polyamide-6/Polypropylene-Grafted-Maleic Anhydride/Nanoclay Ternary Nanocomposites, Mater. Design, 2010, vol. 31, pp. 4693–4703.10.1016/j.matdes.2010.05.024 ↗