A nonlocal strain gradient shell model with the surface effect for buckling analysis of a magneto-electro-thermo-elastic cylindrical nanoshell subjected to axial load

Abstract

This paper develops a novel size-dependent magneto-electro-thermo-elastic (METE) cylindrical nanoshell which is made of BaTiO₃–CoFe₂O₄ materials. To illustrate the newly developed model, the buckling problem of the METE cylindrical nanoshell subjected to temperature changes, initial magnetic and electric potentials, and axial load is analytically solved on the basis of Kirchhoff–Love theory. To model the size dependency effects, nonlocal strain gradient theory (NSGT) and surface elasticity theory are considered simultaneously. In the process, governing differential equations of the shell are derived using Hamilton's principle. Bifurcation conditions for buckling of the METE cylindrical nanoshell are obtained using Navier's method. The influences of the scale parameter, structure parameter, surface effect, temperature change, initial magnetic potential and initial electric potential on buckling behavior are examined in detail. The present model can be used as a basic model in the study of the effects of temperature changes, initial magnetic and electric potentials, and the axial load on the buckling behavior of METE cylindrical nanoshells. The results provide insights for future experimental research and show that METE cylindrical nanoshells are potential candidates for nanocomponents.