Size dependent nano-spherical pressure vessels based on strain gradient theory
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
View: 198
This Paper With 13 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_JCAM-52-2_009
تاریخ نمایه سازی: 20 مرداد 1400
Abstract:
This study investigates the effect of size scale material parameters on stress distribution and radial displacement of nanosphere based on strain gradient theory. This model is more capable of studying mechanical behavior than classical elasticity theory as the size scale effect of the nanosphere is also considered. Minimum total potential energy is used to derive governing differential equation of nanosphere under internal hydrostatic pressure. Using the efficient numerical generalized differential quadrature (GDQ) method, the governing equation and corresponding boundary conditions are solved. The classical elasticity equation is obtained by setting the value of size scale material parameters to zero. With the comparison of these theories, the importance of the size scale material parameters is achieved. It is found that the radial displacement of nanosphere predicted by strain gradient theory is less than those predicted by classical elasticity theory but comparing the distribution of stress components along radius is more complex. The effect of the size of the nanosphere on the radial stress components is also studied. With an increasing outer radius of the nanosphere, the mechanical behavior predicted by strain gradient theory tends toward those in classical elasticity theory.
Keywords:
Nanosphere , Stress analysis , Strain gradient theory , size-dependent , generalized differential quadrature (GDQ)
Authors
Esmail Zarezadeh
Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran
Mehdi Najafzadeh
Department of Electrical Engineering, Islamic Azad University, Tehran, Iran
abbas barati
Department of Mechanical Engineering, University of Guilan, Rasht, Iran