مدل‌سازی میکرومکانیکی سه‌بعدی به‌منظور پیش‌بینی خواص موثر الاستیک نانوکامپوزیت‌ پلیمری تقویت‌شده با گرافن‌نانوپلیتلت

نوع مقاله : مقاله پژوهشی

نویسندگان

دانشکده مهندسی مکانیک و انرژی، دانشگاه شهید بهشتی، تهران، ایران

چکیده

در این پژوهش، یک روش میکرومکانیکی تحلیلی سه‌بعدی بر پایه سلول واحد جهت استخراج خواص الاستیک نانوکامپوزیت‌های پلیمری تقویت‌شده با گرافن‌نانوپلیتلت ارائه می‌شود. برای این مدل، یک المان حجمی نماینده نانوکامپوزیت که دربرگیرنده تمامی خصوصیات نانوکامپوزیت است و شامل سه فاز تقویت‌کننده گرافن‌نانوپلیتلت، زمینه‌ی پلیمری و ناحیه فازمیانی که خواص آن به تدریج تغییر می‌کند، در نظر گرفته می‌شود. به‌منظورشبیه‌سازی جهت‌گیری تصادفی ذرات گرافن‌نانوپلیتلت، هندسه المان حجمی نماینده نانوکامپوزیت    Nα∗Nβ∗Nγ به  سلول مکعبی در سه بعد درون المان حجمی نماینده تقسیم می‌شود. اندازه گرافن‌نانو‌پلیتلت و تجمع وابسته به کسر حجمی گرافن نانو‌پلیتلت‌ها به عنوان دو فاکتور مهم تاثیرگذار بر روی خواص نانوکامپوزیت، از طریق دو ایده جدید مدل‌سازی می‌شوند. به‌منظور اعتبارسنجی مدل ارائه‌شده،  ابتدا نتایج بدست‌آمده، با داده‌های تجربی و مدل‌های میکرومکانیکی پیشین در دسترس مقایسه می‌شوند. سپس، اثر پارامترهایی مانند درصد کسرحجمی، اندازه نانوذره، اثر تجمع و همچنین جهت‌گیری تصادفی گرافن‌نانوپلیتلت‌ها درون رزین اپوکسی، و ضخامت فازمیانی بر پاسخ نانوکامپوزیت بررسی می‌شود. نتایج نشان می‌دهد که تجمع گرافن‌نانوپلیتلت وابسته به کسرحجمی آن است و خواص الاستیک بدست‌آمده از مدل میکرومکانیکی حاضر با جهت‌گیری تصادفی ذرات گرافن‌نانوپلیتلت با درنظرگرفتن اندازه و تجمع نانوذرات و همچنین توجه به فازمیانی، توافق بسیار خوبی با داده‌های تجربی دارد.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Three-dimensional micromechanical modelling of effective elastic properties of graphene nanoplatelet-reinforced polymer nanocomposite using a HFGMC-based homogenization approach

نویسندگان [English]

  • Hadi Mehdipour
  • Abbas Rohani Bastami
  • Mohammad Hossein Soorgee
Faculty of Mechanical and Energy Engineering, Shahid Beheshti University,Tehran, Iran
چکیده [English]

A three-dimensional analytical micromechanical model based on the unit cell is extended to extract the elastic properties of graphene-nanoplatelet reinforced polymer nanocomposites. Graphene-nanoplatelet /epoxy interphase region changing gradually is considered elastic with isotropic behavior. To simulate the random distribution of graphene, the geometry of the representative volume element of the nanocomposite is divided into a three-dimensional cubic with subcells. The obtained results are compared with the available research studies. Moreover, the effect of parameters such as the volume of graphene-nanoplatelet in the epoxy resin, the graphene-nanoplatelet aggregation, and the interphase region are investigated on the response of the nanocomposite. It is shown that the aggregation of graphene-nanoplatelet depends on its volume fraction. The results show that the elastic properties obtained from the present micromechanical model taking into account the random distribution, the agglomeration of nanoparticles, and also interphase are close to the experimental data.

کلیدواژه‌ها [English]

  • Nanocomposite
  • Graphene nanoplatelet
  • Graphene size effect
  • Interphase region
  • Graphene aggregation
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