نوع مقاله: مقاله پژوهشی

نویسندگان

1 استاد، آزمایشگاه تحقیقاتی کامپوزیت، قطب علمی مکانیک جامدات تجربی و دینامیک، دانشکده مهندسی مکانیک، دانشگاه علم و صنعت ایران، تهران، ایران

2 دانشجوی دکترا، آزمایشگاه تحقیقاتی کامپوزیت، قطب علمی مکانیک جامدات تجربی و دینامیک، دانشکده مهندسی مکانیک، دانشگاه علم و صنعت ایران، تهران، ایران

چکیده

در این مقاله، اثر نانولوله‌های کربنی بر مقدار مود اول نرخ رهایی انرژی کرنشی در شروع رشد ترک در نانوکامپوزیت‌های پایه اپوکسی به‌صورت تحلیلی مطالعه شد. در این مدل تحلیلی، اثر وجود پدیده جدایش نانولوله‌های کربنی از رزین پیرامون آن در ناحیه نزدیک به نوک ترک به‌عنوان یکی از عوامل افزایش نرخ رهایی انرژی کرنشی در نانوکامپوزیت نسبت به رزین خالص با استفاده از یک جزء حجمی معرف مطالعه شد. جز معرف حجمی مفروض برای نانولوله‌های کربنی و رزین پیرامون آن با وجود فاز میانی در نظر گرفته شد. برای تخمین خواص مکانیکی فازمیانی، ضخامت آن از مقادیر گزارش شده در مراجع استفاده شد. در نهایت مدلی برای افزایش نرخ رهایی انرژی کرنشی نانوکامپوزیت، براساس خواص مکانیکی و پارامترهای هندسی نانولوله‌های کربنی و رزین خالص معرفی گردید. لازم بذکر است که احتمال افزایش نرخ رهایی انرژی کرنشی نانوکامپوزیت نسبت به پلیمر خالص، با استفاده از ارتباط بین مقیاس‌های‌ ماکرو، میکرو و نانو مورد بررسی قرار گرفت. برای اعتبارسنجی مدل تحلیلی ارائه شده، نتایج به‌دست آمده از روابط تحلیلی با نتایج مطالعات تجربی سایر محققین مقایسه شد. نتایج نشان دادند که مدل ارائه شده با خطای قابل قبولی، توانایی پیش‌بینی مقدار مود اول نرخ رهایی انرژی کرنشی نانوکامپوزیت‌های پایه اپوکسی تقویت شده با نانولوله‌های کربنی تک و چندجداره را داراست.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Analytical prediction of mode I strain energy release rate at crack growth initiation of polymeric nanocomposites

نویسندگان [English]

  • Mahmood Mehrdad Shokrieh 1
  • Afshin Zeinedini 2

1 Composites Research Laboratory, Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran

2 Composites Research Laboratory, Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran

چکیده [English]

In this paper, the effect of carbon nanotubes on mode I strain energy release rate at crack growth initiation of epoxy-based nanocomposites was studied analytically. In this theoretical model, effect of carbon nanotubes debonding from its surrounding resin at the crack tip was postulated as one of the causes of increasing of the strain energy release rate of nanocomposites in comparison with the pure resin. Furthermore, a representative volume element was considered at the nanoscale. The assumed representative volume element contains carbon nanotubes, surrounding resin and the interphase. The available mechanical properties and the thickness of the interphase in the literature were used. Finally, a model for increasing the strain energy release rate of nanocomposites due to presence of carbon nanotubes was introduced based on mechanical properties and geometric parameters of carbon nanotubes and resin. It must be noted that enhancement of strain energy release rate in comparison with the pure polymer was investigated by correlation between nano, micro and macro-scales. To validate the proposed analytical model, results were compared with other experimental results available in the literature. The results show that the present model has a reasonable error and is able to model the effect of single-wall and multi-wall carbon nanotubes on nanocomposites strain energy release rate.  

کلیدواژه‌ها [English]

  • Strain energy release rate
  • Analytical Model
  • Mode I
  • Carbon nanotubes
  • Nanocomposites

 

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