تحلیل تغییر شکل نانولوله کربنی تک جداره: یک تئوری پوسته بر پایه پتانسیل بین اتمی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 کارشناسی ارشد، - مهندسی مکانیک، دانشکده فنی، دانشگاه گیلان

2 دانشیار، مهندسی مکانیک، دانشکده فنی، دانشگاه گیلان

3 دانشجوی دکترا، مهندسی مکانیک، دانشکده فنی، دانشگاه گیلان

چکیده

هدف از این مقاله، ارائه تئوری پوسته با تغییر شکل محدود بر پایه پتانسیل بین اتمی برای یک نانو لوله تک جداره است. بدین منظور، با بکارگیری قانون کوشی – بورن، رابطه ‌ای میان چگالی انرژی کرنشی سطح پیوسته و پتانسیل بین اتمی برقرار می‌شود. این تئوری با در نظر گرفتن کوپلینگ چند اتمی غیر خطی و کایرالیتی نانولوله کربنی، اثرات مهم ممان خمشی و انحنای سطح خمیده را مورد بررسی قرار می‌‌دهد. با بکارگیری تئوری توسعه داده شده، روابط ساختاری که مستقل از ضخامت نانولوله و مدول یانگ می‌باشند، میان تنش، گشتاور، کرنش، انحنا و پتانسیل بین اتمی استخراج می‌شود. مشاهده شد که کایرالیتی بر روی رفتار مکانیکی نانولوله تحت کشش و خمش مؤثر بوده و این تأثیر برای نانولوله‌های با شعاع بزرگتر تحت کرنش و انحنای کوچک، کمتر خواهد بود.

کلیدواژه‌ها


عنوان مقاله [English]

Deformation analysis of single-wall carbon nanotubes: a shell theory based on the interatomic potential

نویسندگان [English]

  • Atefeh Alipour 1
  • reza ansari 2
  • Abolfazl Shahabodini 3
چکیده [English]

The aim of the current study is to present a finite deformation shell theory incorporating interatomic potentials for single-wall carbon nanotubes (CNTs). For this purpose, a linkage between the strain energy density induced in the continuum and the interatomic potential is established by the employment of the modified Cauchy-Born rule. This theory, which considers the nonlinear, multi-body atomistic coupling and the CNT chirality, incorporates the important effects of bending moment and curvature for a curved surface. The theory is applied to extract the constitutive relations, which bypass the use of nanotube thickness and Young’s modulus, among stress, moment, strain, curvature and the interatomic potential. It is found that the chirality affects the mechanical behavior of the nanotube in tension and bending and this effect is less profound for the CNTs with higher radius at vanishing strain and curvature.

کلیدواژه‌ها [English]

  • Shell theory
  • interatomic potential
  • Carbon Nanotube
  • bending
  • Curvature
  • Constitutive Model
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