مطالعه ی رفتار کمانشی و پسا کمانشی تیر کامپوزیتی تقویت شده با نانو پلاکت های گرافنی با در نظر گرفتن تئوری گرادیان کرنش غیر موضعی

نوع مقاله : مقاله پژوهشی

نویسنده

استادیار، گروه مهندسی مکانیک، واحد شهرکرد، دانشگاه آزاد اسلامی، شهرکرد، ایران.

چکیده
با توجه به افزایش استفاده‌ی روز افزون از فناوری‌ها نانو در زندگی انسان و اهمیت سیستم‌های نانو الکترو مکانیکی، این مقاله به بررسی رفتار کمانشی و پسا کمانشی تیر اویلر- برنولی کامپوزیتی تقویت شده با نانو پلاکت‌های گرافنی با در نظر گرفتن تئوری گرادیان کرنش غیر موضعی می‌پردازد. ابتدا خواص الاستیک نانوکامپوزیت‌ تقویت شده با نانو پلاکت‌های گرافنی با استفاده از قانون مخلوط‌ها و مدل میکرومکانیکی هالپین- تسای، محاسبه شد. سپس معادلات حاکم بر تیر اویلر- برنولی با استفاده از اصل کار مجازی، تئوری گرادیان کرنش غیرموضعی و میدان کرنش فون کارمن، استخراج گردید. معادلات بدست آمده بصورت تحلیلی حل شدند و پس از آن، نتایج بدست آمده با نتایج موجود در منابع دیگر مقایسه گردید که نتایج مطابقت بسیار خوبی را نشان داد. در نهایت اثرات تغییر کسر وزنی و چگونگی توزیع نانو پلاکت‌های گرافنی در کامپوزیت، تغییر پارامترهای غیرموضعی و گرادیان کرنش و همچنین نسبت طول به ضخامت تیر بر روی بار کمانش بحرانی مورد بررسی قرار گرفت و این نتیجه بدست آمد که برای یک کسر وزنی ثابت، بیشترین بار کمانش بحرانی ابتدا در الگوی توزیع X سپس در الگوی توزیع U و در نهایت در الگوی توزیع O اتفاق می‌افتد.

کلیدواژه‌ها


عنوان مقاله English

Study of Buckling and Post-buckling Behavior of Composite Beam Reinforced with Graphene Nanoplatelets Using Non-local Strain Gradient Theory

نویسنده English

Ahmad Haghani
Assistant professor, Department of Mechanical Engineering, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.
چکیده English

Given the increasing use of nanotechnologies in human life and the significance of nano-electromechanical systems, this paper investigates the buckling and post-buckling behavior of Euler-Bernoulli (EB) composite beams (CB) reinforced with graphene nanoplatelets (GPLs), considering the nonlocal strain gradient theory (NSGT). Initially, the elastic properties of the nanocomposite reinforced with GPLs were calculated using the rule of mixtures and the Halpin-Tsai (HT) micromechanical model. Subsequently, the governing equations (GE) for the EB beam were derived using the virtual work principle, the NSGT, and the von Kármán (VK) strain field. These equations were analytically solved, and the achieved findings were checked against those found in existing studies, showing excellent agreement. Finally, the effects of varying the weight fraction and distribution of GPLs in the composite, changes in nonlocal parameter (NP) and strain gradient (SG) parameter, as well as the ratio of beam's length to beam’s thickness, on the critical buckling load were examined and as a results for a constant weight fraction, the critical buckling load is highest in the X pattern, followed by the U and O patterns.

کلیدواژه‌ها English

Nonlocal strain gradient theory
buckling of beam
composite
graphene nano-platelets
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دوره 4، شماره 2
تابستان 1403
صفحه 328-349

  • تاریخ دریافت 05 آبان 1403
  • تاریخ بازنگری 21 آبان 1403
  • تاریخ پذیرش 26 آبان 1403