بررسی دقت روابط تحلیلی مرسوم جهت پیش‌بینی خواص نانوکامپوزیت‌های تقویت شده با نانوذرات مختلف

نوع مقاله : علمی و پژوهشی

نویسندگان

1 گروه مهندسی مکانیک، دانشکده فنی و مهندسی، دانشگاه ارومیه، ارومیه، ایران

2 گروه مهندسی مکانیک، دانشکده فنی مهندسی، دانشگاه ارومیه، ارومیه، ایران

چکیده

به منظور پیش‌بینی رفتار و خواص مکانیکی نانوکامپوزیت‌های پلیمری تقویت‌شده با نانوذرات مختلف مدل‌های مختلف تحلیلی میکرومکانیکی و ماکرومکانیکی ارائه شده است. نوع، ابعاد و مشخصات مکانیکی ماده پایه و تقویت‌کننده از جمله مواردی هستند که در مدل‌های تحلیلی مختلف مورد توجه قرار گرفته‌اند. در برخی از مدل‌ها فرض‌ها و ساده‌سازی‌هایی انجام شده که نتیجه آن ارائه روابطی است که پارامترهای کمتری را درگیر می‎‌کند. در برخی موارد این ساده‌سازی‌ها منجر به عدم دقت در پیش‌بینی نتایج می‌شوند. هدف از پژوهش پیش‌رو مقایسه نتایج آزمایشگاهی با مدل‌های مطرح‌شده و بررسی دقت آن‌ها و در نتیجه ارائه مناسب‌ترین مدل جهت پیش‌بینی خواص نانوکامپوزیت‌های مورد مطالعه است. به این منظور پلیمر پلی‌متیل‌متاکریلات (PMMA) به عنوان ماده پایه و نانوذرات TiO2، SiO2 و Al2O3 به عنوان تقویت‌کننده انتخاب شد. در این مطالعه مدول الاستیسیته مواد در بیشترین حالت به ترتیب حدود 7، 4 و 4 درصد نسبت به نمونه پایه افزایش نشان دادند. نتایج حاصل از آزمایش استخراج گردید و با مدل‌های تحلیلی مطرح‌شده مورد مقایسه قرار گرفت. مقایسه‌ها نشان داد که مدل سه‌بعدی پن نتایج را با دقت مناسبی نسبت به نتایج آزمایشگاهی برای اکثریت نمونه‌ها پیش‌بینی می‌کند.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Investigation on efficiency of analytical relations to predict the properties of reinforced nanocomposites

نویسندگان [English]

  • Sina Mosalman 1
  • Samrand Rash-Ahmadi 2
1 Department of Mechanical Engineering, Urmia University, Urmia, Iran.
2 Department of Mechanical Engineering, Urmia University, Urmia, Iran
چکیده [English]

Many theoretical, micromechanical and macro mechanical models have been suggested to predict the treatment of polymer nanocomposites reinforced with different nanoparticles. Type, size and mechanical properties of base matrix and filler are the parameters which have been more important through these models. In some models, some simplifications and assumptions have been applied, so less parameters have been involved at the resultant relation. But sometimes, these simplifications caused inaccuracy in the final results. Aim of this investigation is to compare accuracy of the results of tensile tests with described models, and to suggest the most suitable model that predicts the properties of studying nanocomposite. For this Purpose, poly methyl methacrylate (PMMA) was chosen as the base matrix and TiO2, SiO2 and Al2O3 nanoparticles as reinforcements. Elastic modulus of composites indicated 7, 4 & 4% increasing rather than base material. Results obtained from the tests were compared with theoretical models. The comparisons showed that the Pan’s 3D model predicts the results with a good approximation according to experimental tests for most of samples.

کلیدواژه‌ها [English]

  • Nanocomposite
  • Mechanical properties
  • Analytical models
  • Nano particles
  • young modulus
  1. Saha, B., Toh, W.Q., Liu, E., Tor, S.B., and Lee, J., "A Study on Frictional Behavior of PMMA Against FDTS Coated Silicon as a Function of Load, Velocity and Temperature", Tribology International, 102, Pp. 44-51, (2016).
  2. Eungkee Lee, R., Hasanzadeh, R., and Azdast, T., "A Multi-Criteria Decision Analysis on Injection Moulding of Polymeric Microcellular Nanocomposite Foams Containing Multi-Walled Carbon Nanotubes", Plastics, Rubber and Composites, 46, Pp. 155-162, (2017).
  3. Eungkee Lee, R., Afsari Ghazi, A., Azdast, T., Hasanzadeh, R., and Mamaghani Shishavan, S., "Tensile and Hardness Properties of Polycarbonate Nanocomposites in the Presence of Styrene Maleic Anhydride as Compatibilizer", Advances in Polymer Technology, doi 1002/adv.21832, (2017).
  4. Liu, H., Ye, H., Lin, T., and Zhou, T., "Synthesis and Characterization of PMMA/Al2O3 Composite Particles by in Situ Emulsion Polymerization", Particuology, 6, Pp. 207-213, (2008).
  5. Jiao, J., Sun, X., Pinnavaia, T. J., "Mesostructured Silica for the Reinforcement and Toughening of Rubbery and Glassy Epoxy Polymers", Polymer, Vol. 50, No. 4, Pp. 983-989, (2009).
  6. Agag, T., Koga, T., and Takeichi, T., "Studies on Thermal and Mechanical Properties of Polyimide–Clay Nanocomposites",Polymer, Vol. 42, No. 8, Pp. 3399-3408, (2001).
  7. Ahmad, F. N., Jaafar, M., Palaniandy, S., & Azizli, K. A. M., "Effect of Particle Shape of Silica Mineral on the Properties of Epoxy Composites", Composites Science and Technology, Vol. 68, No. 2, Pp. 346-353, (2008).
  8. Ghavidel, A. K., Azdast, T., Shabgard, M. R., Navidfar, A., & Shishavan, S. M., "Effect of Carbon Nanotubes on Laser Cutting of Multi-Walled Carbon Nanotubes/Poly Methyl Methacrylate Nanocomposites", Optics & Laser technology, Vol. 67, Pp. 119-124, (2015).
  9. Opelt, C. V., Becker, D., Lepienski, C. M., & Coelho, L. A., "Reinforcement and Toughening Mechanisms in Polymer Nanocomposites–Carbon Nanotubes and Aluminum Oxide",Composites Part B: Engineering, Vol. 75, Pp. 119-126, (2015).
  10. Coetzee, Divan, et al., "Influence of Nanoparticles on Thermal and Electrical Conductivity of Composites", Polymers, 12.4 Pp. 742, (2020).
  11. Liu, H. Y., Wang, G. T., Mai, Y. W., & Zeng, Y., "On Fracture Toughness of Nano-Particle Modified Epoxy", Composites Part B: Engineering, Vol. 42, No. 8, Pp. 2170-2175, (2011).
  12. Sun, S., Li, C., Zhang, L., Du, H. L., & Burnell-Gray, J. S., "Effects of Surface Modification of Fumed Silica on Interfacial Structures and Mechanical Properties of Poly (Vinyl Chloride) Composites", European polymer journal, 42, No. 7, Pp. 1643-1652, (2006).
  13. Hua, Y., Gu, L., & Watanabe, H., "Micromechanical Analysis of Nanoparticle-Reinforced Dental Composites", International Journal of Engineering Science, Vol. 69, Pp. 69-76, (2013).
  14. Tucker III, C. L., & Liang, E., "Stiffness Predictions for Unidirectional Short-Fiber Composites: Review and Evaluation", Composites science and technology, Vol. 59, No. 5, Pp. 655-671, (1999).
  15. Islam, M. S., Masoodi, R., & Rostami, H., "The Effect of Nanoparticles Percentage on Mechanical Behavior of Silica-Epoxy Nanocomposites", Journal of Nanoscience, 2013, Pp. 1-10, (2013)
  16. Fereydoun, A., Mohammad Zamani, M. and Mohammad Zamani, M., "Experimental Investigation of Tensile Properties of PP/CNTs: Comparison of Experimental and Analytical Results", First national conference of nanomaterials and nanotechnology, Shahroud, Iran, (2011). (In Persian)
  17. Hu, H., Onyebueke L., Abatan, A., "Characterizing and Modeling Mechanical Properties of Nanocomposites-Review and Evaluation", Journal of minerals and materials characterization and engineering, 9, No. 04, Pp. 275, (2010).
  18. Manera, M., "Elastic Properties of Randomly Oriented Short Fiber-Glass Composites", Journal of Composite Materials, Vol. 11, No. 2, Pp. 235-247, (1977).
  19. Tsai, S. W., and Pagano, N. J., "Invariant Properties of Composite Materials", Composite Materials Workshop, Technomic Publishing Co., Stamford, Conn.,233-238, (1968).
  20. Pan, N., "The Elastic Constants of Randomly Oriented Fiber Composites: A New Approach to Prediction", Science and Engineering of composite materials, Vol. 5, No. 2, Pp. 63-72, (1996).
  21. Christensen, R. M., Waals. F. M., "Effective Stiffness of Randomly Oriented Fibre Composites", Journal of Composite Materials, Vol. 6, No .3, Pp. 518-535, (1972).
  22. Lee, L. H., "Strength-Composition Relationships of Random Short Glass Fiber-Thermoplastics Composites", Polymer Engineering and Science, 9, Pp. 213-219, (1969).
  23. Thostenson, E. T., Ren, Z., & Chou, T. W., "Advances in the Science and Technology of Carbon Nanotubes and their Composites: A Review", Composites science and technology, 61, No. 13, Pp. 1899-1912, (2001).
  24. Halpin, J. C., "Stiffness and Expansion Estimates for Oriented Short Fiber Composites", Journal of Composite Materials, Vol. 3, No. 4, Pp. 732-734, (1969).
  25. Tsai, S. W., Halpin, J. C., Pagano. N. J., "Composite Materials Workshop", (1968).
  26. Einstein, A., "On the Movement of Small Particles Suspended in Stationary Liquids", Annalen der Physik, Vol. 17, Pp. 549–560, (1905).
  27. Einstein, A., "Investigations on the Theory of the Brownian Movement", Courier Corporation, (1956).
  28. Voigt, W., "Ueber die Beziehung Zwischen den Beiden Elasticitätsconstanten Isotroper Körper", Annalen der Physik, 274, No. 12, Pp. 573-87, (1889).
  29. Reuss, A., "Berechnung der Fliebgrenze von Mischkristalen auf Grund der Plastizitatsbedingung fur Einkristalle", ZAMM, 9, Pp. 49-58, (1929).
  30. Hashin, Z., Shtrikman, S., "A Variational Approach to the Theory of the Elastic Behaviour of Multiphase Materials", Journal of the Mechanics and Physics of Solids, Vol, 11. No. 2, Pp. 127-140, (1963).
  31. Hashin, Z., "Analysis of Composite Materials", appl. Mech, Vol, 50, No. 2, Pp. 481-505, (1983).
  32. Shirkavand, S., Moslehifard, E., "Effect of TiO2 Nanoparticles on Tensile Strength of Dental Acrylic Resins", Journal of dental research, dental clinics, dental prospects, Vol. 8, No. 4, Pp. 197, (2014).
  33. Arimatéia, Rafaela R., et al., "Effect of Alumina on the Properties of Poly (Methyl Methacrylate)/Alumina Composites Obtained by Melt Blending", Journal of Thermoplastic Composite Materials, Vol, 34, No. 4, Pp. 451-471, (2021).