بررسی تاثیر مقیاس کوچک بر کمانش پیچشی نانو لوله های 2 تا 5 جداره محصور در محیط الاستیک تحت بارگذاری محوری و میدان دمایی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 استادیار، دانشکده فنی و مهندسی، دانشگاه یاسوج

2 دانشجوی کارشناسی ارشد، دانشکده فنی و مهندسی، دانشگاه یاسوج

چکیده

در این پژوهش با استفاده از مدل پوسته پیوسته غیر محلی کمانش پیچشی نانو لوله های چند جداره (از 2 تا 5 جداره) محصور شده در محیطالاستیک تحت بارگذاری ترکیبی مورد مطالعه قرار گرفته است و نتایج با مدل پوسته پیوسته کلاسیک مقایسه شده است. همچنین تاثیر افزایش تعداد لایه های نانو لوله در شرایط بارگذاری و هندسی مشابه بر تنش بحرانی سنجیده شده است. نتایج نشان می دهد که اثرات غیر محلی بر مقدار تنش برشی بحرانی تاثیر می گذارد و میزان این تاثیر در نیم موجهای طولی بزرگتر بیشتر است. همچنین نشان داده شده است که در مقابل بار محوری کششی میزان تنش برشی بحرانی نانو لوله به مراتب بزرگتر از بار محوری فشاری است. در ضمن وجود محیط الاستیک پیرامون نانو لوله تاثیر مثبتی بر میزان تنش برشی بحرانی نانو لوله ها دارد.

کلیدواژه‌ها

عنوان مقاله [English]

The Effect of Small Scale on Torsional Buckling of the Embedded Double- to Five- Walled Nanotubes Under Axial Loading and Thermal Field

نویسندگان [English]

  • Sima Ziaee 1
  • Mohsen Asadi-pour 2
چکیده [English]

This paper aims at investigating the torsional buckling behavior of the embedded multi-walled nanotubes (double- to five- walled) under combined loading based on the nonlocal continuum mechanics. The governing partial differential equations are derived according to Donnel shell model assumptions and Eringen elasticity theory. The effects of the number of layers of carbon nanotube, the existence of axial force, temperature change and the existence of the elastic medium on critical shear stress are studied. Results clearly reveal that at a fixed length, the carbon nanotube which has more layers can tolerate higher critical shear stress, although the existence of compressive axial force and/or temperature change at a high temperature environment decreases the load-bearing capacity of carbon nanotube. While the existence of elastic medium and/or tensile axial force increase the critical shear stress. It is also seen that with a rise in the number of half-wave, the effects of small-scale parameter on shear stress increase. The difference in predicting critical shear stress of multi-walled nanotubes between nonlocal and local continuum mechanics is investigated as well.

کلیدواژه‌ها [English]

  • Multi- Walled Nanotubes
  • Small Scale Effect
  • Torsional Buckling
  • Axial force
  • Elastic medium
  • Thermal Field

مراجع

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