Nonlocal strain gradient-based nonlinear in-plane thermomechanical stability of FG multilayer micro/nano-arches

Abstract

In various microelectromechanical systems, arch-type micro- or nanostructures are extensively used because of their specific geometry. In this regard, the present research exploration deals with the size-dependent nonlinear in-plane stability characteristics of functionally graded (FG) multilayer composite micro/nano-arches subjected to uniform radial pressure together with temperature changes. To this intension, the nonlocal strain gradient (NSG) continuum elasticity is implemented in a higher-order shear flexible arch model to capture nonlocal stress tensor as well as strain gradient size dependencies. With the aid of the Halpin-Tsai homogenization scheme, the material the effective Young's modulus is extracted layer to layer corresponding to different FG multilayer pattern of composite micro/nano-arches. The NSG-based radial load-deflection and radial load-axial load nonlinear equilibrium paths are traced corresponding to several parametrical case studies. It is revealed that the both effects of the nonlocal stress tensor and strain gradient size dependency on the value of lower and upper limit radial pressures are more significant than those on the lower and upper limit resultant axial forces. Furthermore, it is observed that by increasing the value of temperature change, the effects of nonlocality and strain gradient size dependency on the NSG-based lower limit radial pressure enhance, while these effects on the NSG-based lower limit resultant axial force decrease.