Higher-order continuum theories for buckling response of silicon carbide nanowires (SiCNWs) on elastic matrix

Abstract

In the present paper, buckling analysis of silicon carbide nanowires has been investigated including size effect. The size effect has been taken into consideration by using different size-dependent continuum theories. These theories are modified couple stress theory, modified strain gradient theory, nonlocal elasticity theory, surface elasticity theory, and nonlocal surface elasticity theory. Analyses have been made for a continuum model which is embedded in double-parameter elastic foundation. The foundation has been modeled by using both Winkler- and Pasternak-type elastic foundation models. Simply supported boundary conditions have been used. Buckling equations have been obtained by using energy principle and solved via Navier’s solution procedure. Results are given and compared in figures and tables.