journal article·2023-06-01Open access

The electro-mechanical coupling responses of functionally graded piezoelectric nanobeams with flexoelectric effect

Zhenhai Liu, Peng Wang, Jiawei Xu

AIP Advances· Volume 13· Issue 6

Abstract

The aim of this paper is to study the electro-mechanical coupling responses of functionally graded (FG) piezoelectric cantilever nanobeam under the concentrated load, and the material properties follow an exponential distribution in the thickness direction. The constitutive equations are derived from the electric Gibbs free energy density function. The governing equations and boundary conditions of the Euler–Bernoulli FG beam can be obtained by variational principle, and then, the analytical expressions for its deflection, polarization intensity, and induced potential are obtained. The results show that the flexoelectric effect has a significant impact on the deflection, polarization intensity, and induced potential of the FG cantilever nanobeam.
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Research context

OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Composite Structure Analysis and Optimization · Mechanical and Optical Resonators

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Civil Engineering and Architecture, University of Jinan , Jinan 250024, China

Funding

National Natural Science Foundation of China

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