علوم و فناوری کامپوزیت

روش چندمقیاسی مکعبی به منظور مدلسازی نانوکامپوزیت حاوی نانوذرات گرافن

نوع مقاله : مقاله پژوهشی

نویسندگان

1 استادیار، مهندسی مکانیک، دانشکده شهید مهاجر، دانشگاه فنی و حرفهای استان اصفهان، اصفهان

2 استادیار، مهندسی هوافضا، دانشگاه جامع امام حسین )ع(، تهران

10.22068/jstc.2019.112193.1572

چکیده

در این مقاله روش چند مقیاسی جدیدی به منظور محاسبه سفتی نانوکامپوزیت حاوی نانو ذرات گرافن ارائه می‌شود. در این روش نانوکامپوزیت حاوی نانوذرات با توزیع تصادفی در مقیاس ماکرو، توسط حجم معرف مکعبی شکلی مدل می‌شود که خود متشکل از تعداد زیادی مکعب کوچکتر در مقیاس میکرو است. هر مکعب کوچک حاوی نانوذرات همسویی است که جهت گیری آنها به صورت سه بعدی و توسط الگوریتمی تصادفی تعیین شده است. تانسور سفتی هریک از مکعب‌های کوچک توسط روش موری-تاناکا به دست آمده و نهایتاً با استفاده از روشی تحلیلی مدول الاستیک حجم معرف اصلی محاسبه می‌شود. این روش که در واقع توسعه روش کامپوزیت لایه ای معادل به حالت سه بعدی محسوب می‌شود، نسبت به سایر روش‌های تحلیلی تطابق بهتری با فیزیک مسئله داشته و نسبت به روش‌های عددی از سرعت محاسباتی بیشتری بر خوردار است. مقایسه نتایج حاصل از این روش با تعدادی از نتایج تجربی موجود در مقالات، حکایت از دقت قابل قبول آن در محاسبه مدول الاستیک نانوکامپوزیت دارد.

کلیدواژه‌ها

عنوان مقاله [English]

A multi-scale cubic model to calculate the elastic modules of the graphene/polymer nano composites

نویسندگان [English]

  • Hadi Moshrefzadeh-Sani 1
  • Hasan Mohammadkhani 2

1 Department of mechanical engineering, Faculty of Shahid Mohajer, Technical and Vocational University (TVU), Esfahan, Iran

2 Department of Aerospace Engineering, Imam Hossein University, Tehran, Iran

چکیده [English]

In this paper a new multi-scale method was presented to calculate the elastic modulus of graphene/polymer nano composites. Macro, micro and nano scales were considered within this hierarchical multi-scale method. In macro scale, a nanocomposite was modeled with a cubic representative volume element (RVE) which was constructed by several small cubic elements in micro scale. Each element in micro or nano scale, is made of aligned graphenes which were oriented in three dimensional space via a random algorithm. The stiffness tensor of each element was obtained by Mori-Tanaka micromechanical method and the elastic modulus of the RVE was calculated using a new analytical approach. In fact this method is a development of the laminated analogy, in to a three dimensional version which is in better accordance with the physics of real nanocomposites. It has been shown that the results of the present approach are in good agreement with several experimental works in the literature.

کلیدواژه‌ها [English]

  • Nano composite
  • Multiscale method
  • Graphene
مراجع
[1]S. N. Hosseini Abbandanak, M. H. Siadati, and R. Eslami-farsani, “Effects of functionalized graphene nanoplatelets on the flexural behaviors of basalt fibers/epoxy composites,” In Persian, Journal of Science and Technology of Composites, vol. 5, no. 3, pp. 315–324, 2018.
[2]F. A. Ghasemi, M. H. Saberian, I. Ghasemi, and S. Daneshpayeh, “Experimental investigation on mechanical properties of hybrid nano-composite based on epoxy/ graphene nano-platelets/ carboxylated acrylonitrile butadiene rubber,” In Persian, Journal of Science and Technology of Composites, vol. 5, no. 3, pp. 395–402, 2018.
[3]E. Kazemi Khasrag, H. Siadati, and R. Eslami-Farsani, “Effect of Surface Modification of Graphene Nanoplatelets on the High Velocity Impact Behavior of Basalt Fibers Reinforced Polymer-Based Composites,” In Persian, Journal of Science and Technology of Composites, vol. 5, no. 1, pp. 109–116, 2018.
[4]M. M. Shokrieh and A. Zeinedini, “Analytical prediction of mode I strain energy release rate at crack growth initiation of polymeric nanocomposites,” In Persian, Journal of Science and Technology of Composites, vol. 3, no. 1, pp. 1–10, 2016.
[5]A. J. Rodriguez, M. E. Guzman, C.-S. Lim, and B. Minaie, “Mechanical properties of carbon nanofiber/fiber-reinforced hierarchical polymer composites manufactured with multiscale-reinforcement fabrics,” Carbon, Vol. 49, No. 3, pp. 937–948, Mar. 2011.
[6]M. M. Shokrieh and R. Rafiee, “Development of a full range multi-scale model to obtain elastic properties of CNT/polymer composites,” Iranian Polymer Journal, vol. 21, no. 6, pp. 397–402, Jun. 2012.
[7]M. M. Shokrieh and H. Moshrefzadeh-Sani, “A novel laminate analogy to calculate the strength of two-dimensional randomly oriented short-fiber composites,” Composites Science and Technology, vol. 147, pp. 22–29, Jul. 2017.
[8]M. M. Shokrieh and H. Moshrefzadeh-Sani, “On the constant parameters of Halpin-Tsai equation,”Polymer, vol. 106, pp. 14–20, Dec. 2016.
[9]H. Moshrefzadeh-Sani and M. M. Shokrieh, “Strength calculation of graphene/polymer nanocomposites using the combined laminate analogy and progressive damage model,” Mechanics of Materials, Vol. 127, pp. 48–54, Dec. 2018.
[10]S. M. Rahimian-Koloor, H. Moshrefzadeh-Sani, S. M. Hashemianzadeh, and M. M. Shokrieh, “The effective stiffness of an embedded graphene in a polymeric matrix,” Current Applied Physics, 2018.
[11]J. D. Eshelby, “The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems,” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 241, pp. 376–396, 1957.
[12]J. Qu and M. Cherkaoui, Fundamentals of micromechanics of solids. John Wiley & Sons, Inc., 2006.
[13]W. P. Kuykendall, W. D. Cash, D. M. Barnett, and W. Cai, “On the Existence of Eshelby’s Equivalent Ellipsoidal Inclusion Solution,” Mathematics and Mechanics of Solids, 2011.
[14]T.-W. Chou, Microstructural design of fiber composites. Cambridge University Press, 1992.
[15]P. Song, Z. Cao, Y. Cai, L. Zhao, Z. Fang, and S. Fu, “Fabrication of exfoliated graphene-based polypropylene nanocomposites with enhanced mechanical and thermal properties,” Polymer, vol. 52, no. November 2016, pp. 4001–4010, 2011.
[16]M. Fang, K. G. Wang, H. B. Lu, Y. L. Yang, and S. Nutt, “Covalent polymer functionalization of graphene nanosheets and mechanical properties of composites,” Journal of Materials Chemistry, vol. 19, pp. 7098–7105, 2009.
[17] J. Liang, Y. Huang, L. Zhang, Y. Wang, Y. Ma, T. Cuo, and Y. Chen, “Molecular-level dispersion of graphene into poly(vinyl alcohol) and effective reinforcement of their nanocomposites,” Advanced Functional Materials, vol. 19, pp. 2297–2302, 2009.
[18]M. M. Shokrieh, M. Esmkhani, Z. Shokrieh, and Z. Zhao, “Stiffness prediction of graphene nanoplatelet/epoxy nanocomposites by a combined molecular dynamics-micromechanics method,” Computational Materials Science, vol. 92, pp. 444–450, 2014.
[19]J. R. Potts, S. H. Lee, T. M. Alam, J. An, M. D. Stoller, R. D. Piner, and R. S. Ruoff, “Thermomechanical properties of chemically modified graphene/poly(methyl methacrylate) composites made by in situ polymerization,” Carbon, vol. 49, no. 8, pp. 2615–2623, Jul. 2011.
 
 
 
 
 
 
 
 
علوم و فناوری کامپوزیت
دوره 7، شماره 1
خرداد 1399
صفحه 740-746
فایل ها
هم رسانی
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