TY - JOUR
ID - 81644
TI - Size dependent nano-spherical pressure vessels based on strain gradient theory
JO - Journal of Computational Applied Mechanics
JA - JCAMECH
LA - en
SN - 2423-6713
AU - Zarezadeh, Esmail
AU - Najafzadeh, Mehdi
AU - barati, abbas
AD - Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran
AD - Department of Electrical Engineering, Islamic Azad University, Tehran, Iran
AD - Department of Mechanical Engineering, University of Guilan, Rasht, Iran
Y1 - 2021
PY - 2021
VL - 52
IS - 2
SP - 307
EP - 319
KW - Nanosphere
KW - Stress analysis
KW - Strain gradient theory
KW - size-dependent
KW - generalized differential quadrature (GDQ)
DO - 10.22059/jcamech.2021.322571.612
N2 - 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.
UR - https://jcamech.ut.ac.ir/article_81644.html
L1 - https://jcamech.ut.ac.ir/article_81644_d27a73ea84bf749df8b1921ce7043dde.pdf
ER -