Nonlinear postbuckling analysis of magneto-electro-thermo-elastic laminated microbeams based on modified couple stress theory

Abstract

In this article, the nonlinear postbuckling behavior of the magneto-electro-thermo-elastic (METE) laminated microbeams is presented. According to the modified couple stress theory (MCST) and Reddy's three-order shear deformation theory (RTSDT), in conjunctions with the von Karman geometric nonlinearity, the nonlinear static model of METE laminated microbeam is established. The nonlinear governing equations and the corresponding boundary conditions are derived by using the principle of virtual work principle. Afterwards, using an analytical method, the nonlinear postbuckling behavior of METE laminated microbeam with simple supported and clamped boundary conditions at the both ends is described. Moreover, numerical examples are exhibited to reveal the effects of the material length scale parameter, slenderness ratio, temperature rise, magneto-electric potential on the critical buckling load and the nonlinear postbuckling response. Also the distribution law of magneto-electric potential through the thickness direction of the microbeam with various lay-up modes is discussed.