Buckling analysis of embedded thermo-magneto-electro-elastic nano cylindrical shell subjected to axial load with nonlocal strain gradient theory

This paper explores the buckling problem of thermo-magneto-electro-elastic (TMEE) nano cylindrical shells surrounded by elastic medium. The TMEE nano cylindrical shell is made of BaTiO3-CoFe2O4 materials and subjected to axial load, initial electric and magnetic potentials as well as temperature change. A novel size -dependent TMEE nano cylindrical shell model is developed on the basis of the Kirchhoff-Love theory in conjunction with the nonlocal strain gradient theory. The governing differential equations of the shell are derived using Hamilton's principle, and then using the Navier's method, the bifurcation condition for buckling of TMEE nano cylindrical shell under axial load is obtained. The influences of scale effects, geometric dimensions, load cases on buckling behavior are investigated. And the results reveal the influence mechanism of multi-field coupled behavior and scale effect on the buckling of TMEE nano cylindrical shells, provide reliable theoretical support for the design and manufacture of TMEE nano structures.

Automated summary

This paper investigates the buckling problem of TMEE nano cylindrical shells surrounded by elastic medium. A novel size-dependent TMEE nano cylindrical shell model is developed based on Kirchhoff-Love theory and nonlocal strain gradient theory. The governing differential equations are derived and the bifurcation condition for buckling is obtained using Navier's method. The influence of scale effects, geometric dimensions, and load cases on buckling behavior is examined, providing theoretical support for the design and manufacture of TMEE nano structures.