Nonlinear thermo-elastic analysis of curved panels

Abstract

The target of this paper is to assess the size-dependent geometrical nonlinear static characteristics of curved panels (CPs) enriched by nano-additives incorporating thermal effects. The size-dependency of the analyses is considered by developing the basic equations based on the modified couple stresses theory (MCST). In order to achieve the fundamental equations of compatibility and equilibrium, the transverse shear strain components for fairly thick and also thin micro-shells are considered on the basis of the 1th-order transversely shear deformation theory (FSDT). In order to find the response of the achieved set of nonlinear basic differential equations in form of a closed-form pressure-deflection relationship, an analytical approach is utilized on the basis of the Galerkin method. The achieved close-form relation representing the nonlinear equilibrium path of proposed curved micro-panels is examined by various examples from the present references. Finally, the introduced closed-form relationship is utilized for carrying out an extensive parametric numerical study incorporating the impacts of material length-scale parameter (MLSP) and the characteristics of geometry and material on the geometrical nonlinear path of equilibrium of the proposed micro-shell panels.