Title of Paper:Theoretical and finite element modeling of piezoelectric nanobeams with surface and flexoelectricity effects

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Affiliation of Author(s):航空学院

Journal:MECHANICS OF ADVANCED MATERIALS AND STRUCTURES

Key Words:Size-dependent flexoelectric finite element strain gradient surface effect

Abstract:In this paper, a size-dependent Euler-Bernoulli beam model, which takes the flexoelectricity, piezoelectricity, and dielectricity as well as the surface elasticity into consideration, is established. Theoretical solutions for the static bending deflection of thin beams under different loading (uniformly distributed and concentrated load) and boundary conditions (cantilevered, both ends simply supported, clamped-clamped), are established. Moreover, an iterative finite element algorithm is developed for the analysis of thin flexoelectric beams under any load and boundary conditions. Our numerical results show the direct bulk flexoelectricity always play the role of stiffening the beams with various boundary conditions, while the residual surface stresses behave either stiffening or softening the nanobeams dependent on boundary conditions. The present investigation also demonstrates the size-dependent effects of flexoelectricity on the bending rigidity and piezoelectricity.

ISSN No.:1537-6494

Translation or Not:no

Date of Publication:2019-08-03

Co-author:Xie, Zhao,wht

Correspondence Author:zsj