Coupling Analysis of Flexoelectric Effect on Functionally Graded Piezoelectric Cantilever Nanobeams

The flexoelectric effect has a significant influence on the electro-mechanical coupling of micro-nano devices. This paper studies the mechanical and electrical properties of functionally graded flexo-piezoelectric beams under different electrical boundary conditions. The generalized variational prin...

Full description

Saved in:

Bibliographic Details
Published in:	Micromachines (Basel) 2021-05, Vol.12 (6), p.595
Main Authors:	Chen, Yuhang, Zhang, Maomao, Su, Yaxuan, Zhou, Zhidong
Format:	Article
Language:	eng
Subjects:	Beam theory (structures) Boundary conditions Cantilever beams Coupling Electric fields Electric potential Electrical properties Euler-Bernoulli beams flexoelectric effect functionally graded beam Functionally gradient materials generalized variational principle Graphene induced electric potential Mathematical analysis Mechanical properties Piezoelectricity
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	The flexoelectric effect has a significant influence on the electro-mechanical coupling of micro-nano devices. This paper studies the mechanical and electrical properties of functionally graded flexo-piezoelectric beams under different electrical boundary conditions. The generalized variational principle and Euler–Bernoulli beam theory are employed to deduce the governing equations and corresponding electro-mechanical boundary conditions of the beam model. The deflection and induced electric potential are given as analytical expressions for the functionally graded cantilever beam. The numerical results show that the flexoelectric effect, piezoelectric effect, and gradient distribution have considerable influences on the electro-mechanical performance of the functionally graded beams. Moreover, the nonuniform piezoelectricity and polarization direction will play a leading role in the induced electric potential at a large scale. The flexoelectric effect will dominate the induced electric potential as the beam thickness decreases. This work provides helpful guidance to resolve the application of flexoelectric and piezoelectric effects in functionally graded materials, especially on micro-nano devices.
ISSN:	2072-666X 2072-666X