Nonlocal nonlinear first-order shear deformable beam model for post-buckling analysis of magneto-electro-thermo-elastic nanobeams

作者：Ansari R; Gholami R

来源：Scientia Iranica, 2016, 23(6): 3099-3114.

DOI：10.24200/sci.2016.4015

• First-order shear deformable nanobeam
• Magneto-electro-thermo-elastic materials
• Post-buckling
• Nonlocal elasticity theory
• Small-scale effect

In this study, the size-dependent post-buckling behavior of Magneto-Electro-Thermo-Elastic (METE) nanobeams with different edge supports is investigated. Based on the nonlocal first-order shear deformation beam theory and considering the von Karman hypothesis, a size-dependent nonlinear METE nanobeam model is developed, in which the effects of small-scale parameter and thermo-electro-magnetic-mechanical loadings are incorporated. A numerical solution procedure based on the Generalized Differential Quadrature (GDQ) and pseudo arc-length continuation methods is utilized to describe the size-dependent post-buckling behavior of METE nanobeams under various boundary conditions. The effects of different parameters such as nonlocal parameter, external electric voltage, external magnetic potential, and temperature rise on the post-buckling path of METE nanobeams are explored. The results indicate that increasing the non-dimensional nonlocal parameter, imposed positive voltage, negative magnetic potential, and temperature rise decreases the critical buckling load and post-buckling load-carrying capacity of METE nanobeams, while an increase in the negative voltage and positive magnetic potential leads to a considerable increase of critical buckling load as well as post-buckling strength of the METE nanobeams.

• 出版日期2016