Microsystem Technologies

, Volume 24, Issue 5, pp 2147–2157 | Cite as

Magnetic field effects on buckling characteristics of smart flexoelectrically actuated piezoelectric nanobeams based on nonlocal and surface elasticity theories

  • Farzad Ebrahimi
  • Mohammad Reza Barati
Technical Paper


This study employs the nonlocal and surface elasticity theories to explore the buckling characteristics of piezoelectric nanobeams incorporating flexoelectricity effects. Flexoelectricity represents the coupling between the strain gradients and electrical polarizations. Considering the flexoelectricity effects, the piezoelectric nanobeams can tolerate higher buckling loads compared with conventional ones, especially at lower thicknesses. Both nonlocal and surface effects are considered in the analysis of flexoelectrically actuated piezoelectric nanobeams in magnetic field for the first time. Hamilton’s principle is employed to derive the governing equations and the related boundary conditions which are solved applying an analytical-based solution. Comparison study is also performed to verify the present formulation with those of previous data. Numerical results are presented to investigate the influences of the flexoelectricity, nonlocal parameter, surface elasticity, temperature rise, beam thickness and various boundary conditions on the buckling characteristics of magnetically affected flexoelectric nanobeam.


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© Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Department of Mechanical Engineering, Faculty of EngineeringImam Khomeini International UniversityQazvinIran

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