Analytical determination of non-local parameter value to investigate the axial buckling of nanoshells affected by the passing nanofluids and their velocities considering various modified cylindrical shell theories

Abstract

This study deals with determining the nonlocal parameter value to achieve a more accurate axial-buckling response of carbon nanoshells conveying nanofluids, analytically. To this end, the four plates/shells' classical theories of Love, Flügge, Donnell, and Sanders are generalized using Eringen's nonlocal elasticity theory. By combining these theories in cylindrical coordinates, a modified motion equation is presented to investigate the buckling behavior of the nanofluid-nanostructure-interaction problem. Herein, in addition to the small-scale effect of the structure and the passing fluid on the critical buckling strain, the effects of nanoflow velocity, the fluid density (nano-liquid/nano-gas), half-wave numbers, aspect ratio, and the nanoshell flexural-rigidity are discussed. The analytical approach is used for discretizing and solving the obtained relations to study the mentioned cases.

Nonlinear Buckling Analysis of Cylindrical Nanoshells Conveying Nano-Fluid in Hygrothermal Environment

“…For example, one can refer to the investigations conducted in the field of the effect of nano-fluids passing through nanostructures and vibrations and buckling caused by the applied forces like heat. [20][21][22][23][24][25][26][27][28][29][30][31] From the point of view of the solution method, analytical solutions with a large number of terms and conditions are not suitable for solutions for use by engineers and designers. 32 As a result, numerical or approximate methods have always been used to solve problems.…”