Thermo-electro-mechanical buckling of FGP nano shell with considering thickness stretching effect based on size dependent analysis

Abstract

Buckling analysis of functionally graded piezoelectric nanoshell is studied in this paper based on the higher-order shear and normal deformation theory and accounting thickness stretching effect. The nanoshell is subjected to axial load, applied electric potential and thermal loads. Thickness stretching effect is accounted in the analysis based on higher-order shear and normal deformation theory. Small scale effects are accounted based on the Eringen nonlocal elasticity theory. The Navier solution is used for the buckling analysis of the cylindrical nanoshell with simply-supported boundary conditions. The accuracy and trueness of the present paper is justified using comparison with literature. The importance of the present analysis and corresponding results is justified using presentation of results with and without thickness stretching effect. A large parametric analysis is presented to investigate the influence of significant parameters such as dimensionless small scale parameter, length to radius ratio, thickness to radius ratio, temperature rising and applied electric voltage on critical buckling axial loads. One can conclude that the critical buckling axial loads are decreased with increase of small scale parameters and applied electric potential.

Keywords:

• Thickness stretching effect
• shear and normal deformation theory
• buckling analysis
• length scale parameter
• nonlocal theory